SBO Browser (http://www.ebi.ac.uk/sbo/)
30:09:2016 07:00
sbo
1.2
SBO community
distributed under the Artistic License 2.0 (http://www.opensource.org/licenses/artistic-license-2.0.php)
definition
database_cross_reference
has_obo_format_version
has_obo_namespace
has_related_synonym
sbo
is_a
is_a
Representation of an entity used in a systems biology knowledge reconstruction, such as a model, pathway, network.
sbo
SBO:0000000
modified as part of ontology 'refactoring' process [SF bug #3172586]
systems biology representation
Representation of an entity used in a systems biology knowledge reconstruction, such as a model, pathway, network.
src_code:NR
mathematical description that relates quantities of reactants to the reaction velocity.
sbo
SBO:0000001
rate law
mathematical description that relates quantities of reactants to the reaction velocity.
src_code:NR
A numerical value that defines certain characteristics of systems or system functions. It may be part of a calculation, but its value is not determined by the form of the equation itself, and may be arbitrarily assigned.
sbo
SBO:0000002
Modified as part of ontology 'refactoring' process [SF bug #3172586].
quantitative systems description parameter
A numerical value that defines certain characteristics of systems or system functions. It may be part of a calculation, but its value is not determined by the form of the equation itself, and may be arbitrarily assigned.
src_code:NR
The function of a physical or conceptual entity, that is its role, in the execution of an event or process.
sbo
SBO:0000003
Modified (name) on November 6 2006 by Nicolas Le Novere
Name changed from participant functional type to functional parameter on March 17 2007 by Nicolas Le Novere.
modified to include conceptual entity [SF req #3509733].
participant role
The function of a physical or conceptual entity, that is its role, in the execution of an event or process.
src_code:NR
Set of assumptions that underlay a mathematical description.
sbo
SBO:0000004
modelling framework
Set of assumptions that underlay a mathematical description.
src_code:NR
The description of a system in mathematical terms.
sbo
SBO:0000005
obsolete mathematical expression
true
The description of a system in mathematical terms.
src_code:NR
A numerical value that represents the amount of some entity, process or mathematical function of the system.
sbo
SBO:0000006
obsolete parameter
true
A numerical value that represents the amount of some entity, process or mathematical function of the system.
src_code:NR
The 'kind' of entity involved in some process, action or reaction in the system. This may be enzyme, simple chemical, etc..
sbo
SBO:0000007
obsolete participant type
true
The 'kind' of entity involved in some process, action or reaction in the system. This may be enzyme, simple chemical, etc..
src_code:NR
Basic assumptions that underlie a mathematical model.
sbo
SBO:0000008
obsolete modelling framework
true
Basic assumptions that underlie a mathematical model.
src_code:NR
Numerical parameter that quantifies the velocity of a chemical reaction.
sbo
reaction rate constant
SBO:0000009
kinetic constant
Numerical parameter that quantifies the velocity of a chemical reaction.
src_code:NR
Substance consumed by a chemical reaction. Reactants react with each other to form the products of a chemical reaction. In a chemical equation the Reactants are the elements or compounds on the left hand side of the reaction equation. A reactant can be consumed and produced by the same reaction, its global quantity remaining unchanged.
sbo
SBO:0000010
reactant
Substance consumed by a chemical reaction. Reactants react with each other to form the products of a chemical reaction. In a chemical equation the Reactants are the elements or compounds on the left hand side of the reaction equation. A reactant can be consumed and produced by the same reaction, its global quantity remaining unchanged.
src_code:NR
Substance that is produced in a reaction. In a chemical
equation the Products are the elements or compounds on the right hand side
of the reaction equation. A product can be produced and consumed by the
same reaction, its global quantity remaining unchanged.
sbo
SBO:0000011
product
Substance that is produced in a reaction. In a chemical
equation the Products are the elements or compounds on the right hand side
of the reaction equation. A product can be produced and consumed by the
same reaction, its global quantity remaining unchanged.
src_code:NR
The Law of Mass Action, first expressed by Waage and Guldberg in 1864 (Waage, P.; Guldberg, C. M. Forhandlinger: Videnskabs-Selskabet i Christiana 1864, 35) states that the speed of a chemical reaction is proportional to the quantity of the reacting substances. More formally, the change of a product quantity is proportional to the product of reactant activities. In the case of a reaction occurring in a gas phase, the activities are equal to the partial pressures. In the case of a well-stirred aqueous medium, the activities are equal to the concentrations. In the case of discrete kinetic description, the quantity are expressed in number of molecules and the relevant volume are implicitely embedded in the kinetic constant.
sbo
SBO:0000012
mass action rate law
The Law of Mass Action, first expressed by Waage and Guldberg in 1864 (Waage, P.; Guldberg, C. M. Forhandlinger: Videnskabs-Selskabet i Christiana 1864, 35) states that the speed of a chemical reaction is proportional to the quantity of the reacting substances. More formally, the change of a product quantity is proportional to the product of reactant activities. In the case of a reaction occurring in a gas phase, the activities are equal to the partial pressures. In the case of a well-stirred aqueous medium, the activities are equal to the concentrations. In the case of discrete kinetic description, the quantity are expressed in number of molecules and the relevant volume are implicitely embedded in the kinetic constant.
src_code:NR
Substance that accelerates the velocity of a chemical reaction without itself being consumed or transformed. This effect is achieved by lowering the free energy of the transition state.
sbo
SBO:0000013
catalyst
Substance that accelerates the velocity of a chemical reaction without itself being consumed or transformed. This effect is achieved by lowering the free energy of the transition state.
src_code:NR
A protein that catalyzes a chemical reaction. The word comes from en ("at" or "in") and simo ("leaven" or "yeast").
sbo
SBO:0000014
enzyme
A protein that catalyzes a chemical reaction. The word comes from en ("at" or "in") and simo ("leaven" or "yeast").
src_code:NR
Molecule which is acted upon by an enzyme. The substrate binds with the enzyme's active site, and the enzyme catalyzes a chemical reaction involving the substrate.
sbo
SBO:0000015
substrate
Molecule which is acted upon by an enzyme. The substrate binds with the enzyme's active site, and the enzyme catalyzes a chemical reaction involving the substrate.
src_code:NR
Numerical parameter that quantifies the velocity of a chemical reaction involving only one reactant.
sbo
SBO:0000016
unimolecular rate constant
Numerical parameter that quantifies the velocity of a chemical reaction involving only one reactant.
src_code:NR
Numerical parameter that quantifies the velocity of a chemical reaction involving two reactants.
sbo
SBO:0000017
bimolecular rate constant
Numerical parameter that quantifies the velocity of a chemical reaction involving two reactants.
src_code:NR
Numerical parameter that quantifies the velocity of a chemical reaction involving three reactants.
sbo
SBO:0000018
trimolecular rate constant
Numerical parameter that quantifies the velocity of a chemical reaction involving three reactants.
src_code:NR
Substance that changes the velocity of a process without
itself being consumed or transformed by the reaction.
sbo
SBO:0000019
Refined definition as part of the term requests by Myers [SF req #3503716].
modifier
Substance that changes the velocity of a process without
itself being consumed or transformed by the reaction.
src_code:NR
Substance that decreases the probability of a chemical reaction without itself being consumed or transformed by the reaction.
sbo
SBO:0000020
inhibitor
Substance that decreases the probability of a chemical reaction without itself being consumed or transformed by the reaction.
src_code:NR
Substance that increases the probability of a chemical reaction without
itself being consumed or transformed by the reaction. This effect is achieved by increasing the difference of free energy between the reactant(s) and the product(s)
sbo
activator
SBO:0000021
potentiator
Substance that increases the probability of a chemical reaction without
itself being consumed or transformed by the reaction. This effect is achieved by increasing the difference of free energy between the reactant(s) and the product(s)
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical
reaction involving only one reactant. This parameter encompasses all the contributions to the velocity except the quantity of the reactant.
sbo
SBO:0000022
forward unimolecular rate constant
Numerical parameter that quantifies the forward velocity of a chemical
reaction involving only one reactant. This parameter encompasses all the contributions to the velocity except the quantity of the reactant.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction involving two reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
sbo
SBO:0000023
forward bimolecular rate constant
Numerical parameter that quantifies the forward velocity of a chemical reaction involving two reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical
reaction involving three reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
sbo
SBO:0000024
forward trimolecular rate constant
Numerical parameter that quantifies the forward velocity of a chemical
reaction involving three reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
src_code:NR
Numerical parameter that quantifies the velocity of an enzymatic reaction.
sbo
kcat
turnover number
SBO:0000025
"irreversible" removed on March 11 2007 by Nicolas Le Novere
catalytic rate constant
Numerical parameter that quantifies the velocity of an enzymatic reaction.
src_code:NR
none
sbo
SBO:0000026
created in error
new term name
true
none
src_code:NR
Substrate concentration at which the velocity of reaction is half its maximum. Michaelis constant is an experimental parameter. According to the underlying molecular mechanism it can be interpreted differently in terms of microscopic constants.
sbo
Km
Michaelis-Menten constant
SBO:0000027
Michaelis constant
Substrate concentration at which the velocity of reaction is half its maximum. Michaelis constant is an experimental parameter. According to the underlying molecular mechanism it can be interpreted differently in terms of microscopic constants.
src_code:NR
Kinetics of enzymes that react only with one substance, their substrate. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
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<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
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<ci>kcat</ci>
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<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000028
enzymatic rate law for irreversible non-modulated non-interacting unireactant enzymes
Kinetics of enzymes that react only with one substance, their substrate. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<apply>
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<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
First general rate equation for reactions involving enzymes, it was presented in "Victor Henri. Lois Générales de l'Action des Diastases. Paris, Hermann, 1903.". The reaction is assumed to be made of a reversible of the binding of the substrate to the enzyme, followed by the breakdown of the complex generating the product. Ten years after Henri, Michaelis and Menten presented a variant of his equation, based on the hypothesis that the dissociation rate of the substrate was much larger than the rate of the product generation. Leonor Michaelis, Maud Menten (1913). Die Kinetik der Invertinwirkung, Biochem. Z. 49:333-369.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000373">Ks</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000029
Henri-Michaelis-Menten rate law
First general rate equation for reactions involving enzymes, it was presented in "Victor Henri. Lois Générales de l'Action des Diastases. Paris, Hermann, 1903.". The reaction is assumed to be made of a reversible of the binding of the substrate to the enzyme, followed by the breakdown of the complex generating the product. Ten years after Henri, Michaelis and Menten presented a variant of his equation, based on the hypothesis that the dissociation rate of the substrate was much larger than the rate of the product generation. Leonor Michaelis, Maud Menten (1913). Die Kinetik der Invertinwirkung, Biochem. Z. 49:333-369.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000373">Ks</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Rate-law presented in "Donald D. Van Slyke and Glenn E. Cullen. The mode of action of urease and of enzymes in general. J. Biol. Chem., Oct 1914; 19: 141-180". It assumes that the enzymatic reaction occurs as two irreversible steps.E+S -> ES -> E+P. Although of the same form than the Henri-Michaelis-Menten equation, it is semantically different since K now represents the ratio between the production rate and the association rate of the enzyme and the substrate.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000372">Ks</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000030
Van Slyke-Cullen rate law
Rate-law presented in "Donald D. Van Slyke and Glenn E. Cullen. The mode of action of urease and of enzymes in general. J. Biol. Chem., Oct 1914; 19: 141-180". It assumes that the enzymatic reaction occurs as two irreversible steps.E+S -> ES -> E+P. Although of the same form than the Henri-Michaelis-Menten equation, it is semantically different since K now represents the ratio between the production rate and the association rate of the enzyme and the substrate.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000372">Ks</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
The Briggs-Haldane rate law is a general rate equation that does not require the restriction of equilibrium of Henri-Michaelis-Menten or irreversible reactions of Van Slyke, but instead make the hypothesis that the complex enzyme-substrate is in quasi-steady-state. Although of the same form than the Henri-Michaelis-Menten equation, it is semantically different since Km now represents a pseudo-equilibrium constant, and is equal to the ratio between the rate of consumption of the complex (sum of dissociation of substrate and generation of product) and the association rate of the enzyme and the substrate.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000371">Km</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Km</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000031
Rate-law presented by G.E. Briggs and J.B.S. Haldane (1925): "A note on the kinetics of enzyme action, Biochem. J., 19: 338-339".
Briggs-Haldane rate law
The Briggs-Haldane rate law is a general rate equation that does not require the restriction of equilibrium of Henri-Michaelis-Menten or irreversible reactions of Van Slyke, but instead make the hypothesis that the complex enzyme-substrate is in quasi-steady-state. Although of the same form than the Henri-Michaelis-Menten equation, it is semantically different since Km now represents a pseudo-equilibrium constant, and is equal to the ratio between the rate of consumption of the complex (sum of dissociation of substrate and generation of product) and the association rate of the enzyme and the substrate.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000371">Km</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Km</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving only one product. This parameter encompasses all the contributions to the velocity except the quantity of the product.
sbo
SBO:0000032
reverse unimolecular rate constant
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving only one product. This parameter encompasses all the contributions to the velocity except the quantity of the product.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving only one product. This parameter encompasses all the contributions to the velocity except the quantity of the product.
sbo
SBO:0000033
reverse bimolecular rate constant
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving only one product. This parameter encompasses all the contributions to the velocity except the quantity of the product.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving three products. This parameter encompasses all the contributions to the velocity except the quantity of the products.
sbo
SBO:0000034
reverse trimolecular rate constant
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving three products. This parameter encompasses all the contributions to the velocity except the quantity of the products.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction involving only one reactant. This parameter encompasses all the contributions to the velocity except the quantity of the reactant. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000035
forward unimolecular rate constant, continuous case
Numerical parameter that quantifies the forward velocity of a chemical reaction involving only one reactant. This parameter encompasses all the contributions to the velocity except the quantity of the reactant. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction involving two reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000036
forward bimolecular rate constant, continuous case
Numerical parameter that quantifies the forward velocity of a chemical reaction involving two reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction involving three reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000037
forward trimolecular rate constant, continuous case
Numerical parameter that quantifies the forward velocity of a chemical reaction involving three reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving only one product. This parameter encompasses all the contributions to the velocity except the quantity of the product. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000038
reverse unimolecular rate constant, continuous case
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving only one product. This parameter encompasses all the contributions to the velocity except the quantity of the product. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving only one product. This parameter encompasses all the contributions to the velocity except the quantity of the product. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000039
reverse bimolecular rate constant, continuous case
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving only one product. This parameter encompasses all the contributions to the velocity except the quantity of the product. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving three products. This parameter encompasses all the contributions to the velocity except the quantity of the products. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000040
reverse trimolecular rate constant, continuous case
Numerical parameter that quantifies the reverse velocity of a chemical reaction involving three products. This parameter encompasses all the contributions to the velocity except the quantity of the products. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products.
sbo
SBO:0000041
mass action rate law for irreversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products.
sbo
SBO:0000042
mass action rate law for reversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is constant.
sbo
SBO:0000043
mass action rate law for zeroth order irreversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is constant.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant.
sbo
SBO:0000044
mass action rate law for first order irreversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to two reactant quantity.
sbo
SBO:0000045
mass action rate law for second order irreversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to two reactant quantity.
src_code:NR
Numerical parameter that quantifies the velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity.
sbo
SBO:0000046
zeroth order rate constant
Numerical parameter that quantifies the velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is constant. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">k</ci></bvar>
<apply>
<ci>k</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000047
mass action rate law for zeroth order irreversible reactions, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is constant. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">k</ci></bvar>
<apply>
<ci>k</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000048
forward zeroth order rate constant, continuous case
Numerical parameter that quantifies the forward velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000049
mass action rate law for first order irreversible reactions, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products, and the change of a product quantity is proportional to the square of one reactant quantity.
sbo
SBO:0000050
mass action rate law for second order irreversible reactions, one reactant
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products, and the change of a product quantity is proportional to the square of one reactant quantity.
src_code:NR
sbo
SBO:0000051
new term name
true
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the square of one reactant quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000052
mass action rate law for second order irreversible reactions, one reactant, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the square of one reactant quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of two reactants.
sbo
SBO:0000053
mass action rate law for second order irreversible reactions, two reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of two reactants.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the product of two reactant quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000054
mass action rate law for second order irreversible reactions, two reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the product of two reactant quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to three reactant quantities.
sbo
SBO:0000055
mass action rate law for third order irreversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to three reactant quantities.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the cube of one reactant quantity.
sbo
SBO:0000056
mass action rate law for third order irreversible reactions, one reactant
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the cube of one reactant quantity.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products, and the change of a product quantity is proportional to the cube of one reactant quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000057
mass action rate law for third order irreversible reactions, one reactant, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products, and the change of a product quantity is proportional to the cube of one reactant quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant and the square of the quantity of the other reactant.
sbo
SBO:0000058
mass action rate law for third order irreversible reactions, two reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant and the square of the quantity of the other reactant.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant and the square of the quantity of the other reactant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000059
mass action rate law for third order irreversible reactions, two reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant and the square of the quantity of the other reactant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of three reactants.
sbo
SBO:0000060
mass action rate law for third order irreversible reactions, three reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of three reactants.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products, and the change of a product quantity is proportional to the product of three reactant quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000061
mass action rate law for third order irreversible reactions, three reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products, and the change of a product quantity is proportional to the product of three reactant quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Modelling approach where the quantities of participants are considered continuous, and represented by real values. The associated simulation methods make use of differential equations.
sbo
SBO:0000062
continuous framework
Modelling approach where the quantities of participants are considered continuous, and represented by real values. The associated simulation methods make use of differential equations.
src_code:NR
Modelling approach where the quantities of participants are considered discrete, and represented by integer values. The associated simulation methods can be deterministic or stochastic.
sbo
SBO:0000063
discrete framework
Modelling approach where the quantities of participants are considered discrete, and represented by integer values. The associated simulation methods can be deterministic or stochastic.
src_code:NR
Formal representation of a calculus linking parameters and variables of a model.
sbo
SBO:0000064
mathematical expression
Formal representation of a calculus linking parameters and variables of a model.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity. It is to be used in a reaction modelled using a discrete framework.
sbo
SBO:0000065
forward zeroth order rate constant, discrete case
Numerical parameter that quantifies the forward velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity. It is to be used in a reaction modelled using a discrete framework.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction involving only one reactant. This parameter encompasses all the contributions to the velocity except the quantity of the reactant. It is to be used in a reaction modelled using a discrete framework.
sbo
SBO:0000066
forward unimolecular rate constant, discrete case
Numerical parameter that quantifies the forward velocity of a chemical reaction involving only one reactant. This parameter encompasses all the contributions to the velocity except the quantity of the reactant. It is to be used in a reaction modelled using a discrete framework.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction involving two reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a discrete framework.
sbo
SBO:0000067
forward bimolecular rate constant, discrete case
Numerical parameter that quantifies the forward velocity of a chemical reaction involving two reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a discrete framework.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction involving three reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a discrete framework.
sbo
SBO:0000068
forward trimolecular rate constant, discrete case
Numerical parameter that quantifies the forward velocity of a chemical reaction involving three reactants. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a discrete framework.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant.
sbo
SBO:0000069
mass action rate law for zeroth order reversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000070
mass action rate law for zeroth order forward, first order reverse, reversible reactions, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional totwo product quantities.
sbo
SBO:0000071
mass action rate law for zeroth order forward, second order reverse, reversible reactions, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional totwo product quantities.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000072
mass action rate law for zeroth order forward, second order reverse, reversible reactions, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000073
mass action rate law for zeroth order forward, second order reverse, reversible reactions, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to three product quantities.
sbo
SBO:0000074
mass action rate law for zeroth order forward, third order reverse, reversible reactions, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to three product quantities.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000075
mass action rate law for zeroth order forward, third order reverse, reversible reactions, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000076
mass action rate law for zeroth order forward, third order reverse, reversible reactions, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000077
mass action rate law for zeroth order forward, third order reverse, reversible reactions, three products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is constant. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<ci>kf</ci>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant.
sbo
SBO:0000078
mass action rate law for first order reversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000079
renamed from "first order forward, zeroth order reverse, reversible mass action kinetics, continuous scheme"
mass action rate law for first order forward, zeroth order reverse, reversible reactions, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000080
mass action rate law for first order forward, first order reverse, reversible reactions, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to two product quantities.
sbo
SBO:0000081
mass action rate law for first order forward, second order reverse, reversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to two product quantities.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000082
mass action rate law for first order forward, second order reverse, reversible reactions, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000083
mass action rate law for first order forward, second order reverse, reversible reactions, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to three product quantities.
sbo
SBO:0000084
mass action rate law for first order forward, third order reverse, reversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to three product quantities.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000085
mass action rate law for first order forward, third order reverse, reversible reactions, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000086
mass action rate law for first order forward, third order reverse, reversible reactions, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000087
mass action rate law for first order forward, third order reverse, reversible reactions, three products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000035">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to two reactant quantities.
sbo
SBO:0000088
mass action rate law for second order reversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to two reactant quantities.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity.
sbo
SBO:0000089
mass action rate law for second order forward, reversible reactions, one reactant
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000090
mass action rate law for second order forward, zeroth order reverse, reversible reactions, one reactant, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000091
mass action rate law for second order forward, first order reverse, reversible reactions, one reactant, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the quantity of two products.
sbo
SBO:0000092
mass action rate law for second order forward, second order reverse, reversible reactions, one reactant
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the quantity of two products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000093
mass action rate law for second order forward, second order reverse, reversible reactions, one reactant, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000094
mass action rate law for second order forward, second order reverse, reversible reactions, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the quantity of three products.
sbo
SBO:0000095
mass action rate law for second order forward, third order reverse, reversible reactions, one reactant
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the quantity of three products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000096
mass action rate law for second order forward, third order reverse, reversible reactions, one reactant, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000097
mass action rate law for second order forward, third order reverse, reversible reactions, one reactant, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000098
mass action rate law for second order forward, third order reverse, reversible reactions, one reactant, three products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the square of one reactant quantity. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities.
sbo
SBO:0000099
mass action rate law for second order forward, reversible reactions, two reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000100
mass action rate law for second order forward, zeroth order reverse, reversible reactions, two reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000101
mass action rate law for second order forward, first order reverse, reversible reactions, two reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the quantity of two products.
sbo
SBO:0000102
mass action rate law for second order forward, second order reverse, reversible reactions, two reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the quantity of two products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000103
mass action rate law for second order forward, second order reverse, reversible reactions, two reactants, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000104
renamed from "second order forward with two reactants, second order reverse with two products, reversible mass action kinetics, continuous scheme"
mass action rate law for second order forward, second order reverse, reversible reactions, two reactants, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the quantity of three products.
sbo
SBO:0000105
mass action rate law for second order forward, third order reverse, reversible reactions, two reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the quantity of three products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000106
mass action rate law for second order forward, third order reverse, reversible reactions, two reactants, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000107
mass action rate law for second order forward, third order reverse, reversible reactions, two reactants, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000108
mass action rate law for second order forward, third order reverse, reversible reactions, two reactants, three products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of two reactant quantities. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of a reactant quantity.
sbo
SBO:0000109
mass action rate law for third order reversible reactions
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of a reactant quantity.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant.
sbo
SBO:0000110
mass action rate law for third order forward, reversible reactions, two reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000111
mass action rate law for third order forward, zeroth order reverse, reversible reactions, two reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000112
mass action rate law for third order forward, first order reverse, reversible reactions, two reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the quantity of two products.
sbo
SBO:0000113
mass action rate law for third order forward, second order reverse, reversible reactions, two reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the quantity of two products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000114
mass action rate law for third order forward, second order reverse, reversible reactions, two reactants, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000115
mass action rate law for third order forward, second order reverse, reversible reactions, two reactants, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the quantity of three products.
sbo
SBO:0000116
mass action rate law for third order forward, third order reverse, reversible reactions, two reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the quantity of three products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000117
mass action rate law for third order forward, third order reverse, reversible reactions, two reactants, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000118
mass action rate law for third order forward, third order reverse, reversible reactions, two reactants, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000119
mass action rate law for third order forward, third order reverse, reversible reactions, two reactants, three products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the quantity of one reactant and the square of quantity of the other reactant. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities.
sbo
SBO:0000120
mass action rate law for third order forward, reversible reactions, three reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000121
mass action rate law for third order forward, zeroth order reverse, reversible reactions, three reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000122
mass action rate law for third order forward, first order reverse, reversible reactions, three reactants, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the quantity of two products.
sbo
SBO:0000123
mass action rate law for third order forward, second order reverse, reversible reactions, three reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the quantity of two products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000124
mass action rate law for third order forward, second order reverse, reversible reactions, three reactants, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000125
renamed from "third order forward with three reactants, second order reverse with two products, reversible mass action kinetics, continuous scheme"
mass action rate law for third order forward, second order reverse, reversible reactions, three reactants, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the quantity of three products.
sbo
SBO:0000126
mass action rate law for third order forward, third order reverse, reversible reactions, three reactants
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the quantity of three products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000127
mass action rate law for third order forward, third order reverse, reversible reactions, three reactants, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000128
mass action rate law for third order forward, third order reverse, reversible reactions, three reactants, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000129
mass action rate law for third order forward, third order reverse, reversible reactions, three reactants, three products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the product of three reactant quantities. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity.
sbo
SBO:0000130
mass action rate law for third order forward, reversible reactions, one reactant
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000131
mass action rate law for third order forward, zeroth order reverse, reversible reactions, one reactant, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is constant. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000048">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<ci>kr</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000132
mass action rate law for third order forward, first order reverse, reversible reactions, one reactant, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the quantity of one product. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000038">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the quantity of two products.
sbo
SBO:0000133
mass action rate law for third order forward, second order reverse, reversible reactions, one reactant
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the quantity of two products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000134
mass action rate law for third order forward, second order reverse, reversible reactions, one reactant, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the square of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000135
mass action rate law for third order forward, second order reverse, reversible reactions, one reactant, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the product of two product quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000039">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the quantity of three products.
sbo
SBO:0000136
mass action rate law for third order forward, third order reverse, reversible reactions, one reactant
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the quantity of three products.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000137
mass action rate law for third order forward, third order reverse, reversible reactions, one reactant, one product, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the cube of one product quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P</ci>
<ci>P</ci>
<ci>P</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000138
mass action rate law for third order forward, third order reverse, reversible reactions, one reactant, two products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the quantity of one product and the square of the quantity of the other product. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P1</ci>
<ci>P2</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000139
mass action rate law for third order forward, third order reverse, reversible reactions, one reactant, three products, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does include a reverse process that creates the reactants from the products. The rate of the forward process is proportional to the cube of one reactant quantity. The rate of the reverse process is proportional to the product of three product quantities. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">kf</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000040">kr</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P3</ci></bvar>
<apply>
<minus/>
<apply>
<times/>
<ci>kf</ci>
<ci>R</ci>
<ci>R</ci>
<ci>R</ci>
</apply>
<apply>
<times/>
<ci>kr</ci>
<ci>P1</ci>
<ci>P2</ci>
<ci>P3</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is constant. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000065">c</ci></bvar>
<apply>
<ci>c</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000140
Gillespie (1976). J Comput Physics 22, 403-434
mass action rate law for zeroth order irreversible reactions, discrete scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is constant. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000065">c</ci></bvar>
<apply>
<ci>c</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000066">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<ci>R</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000141
Gillespie (1976). J Comput Physics 22, 403-434
mass action rate law for first order irreversible reactions, discrete scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000066">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<ci>R</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the square of one reactant quantity. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000067">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<apply>
<minus/>
<ci>R</ci>
<cn type="integer">1</cn>
</apply>
</apply>
<cn type="integer">2</cn>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000142
Gillespie (1976). J Comput Physics 22, 403-434
mass action rate law for second order irreversible reactions, one reactant, discrete scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the square of one reactant quantity. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000067">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<apply>
<minus/>
<ci>R</ci>
<cn type="integer">1</cn>
</apply>
</apply>
<cn type="integer">2</cn>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of two reactants. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000067">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R2</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000143
mass action rate law for second order irreversible reactions, two reactants, discrete scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of two reactants. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000067">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R2</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<ci>R1</ci>
<ci>R2</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the cube of one reactant quantity. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000068">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<apply>
<minus/>
<ci>R</ci>
<cn type="integer">1</cn>
</apply>
<apply>
<minus/>
<ci>R</ci>
<cn type="integer">2</cn>
</apply>
</apply>
<cn type="integer">6</cn>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000144
Gillespie (1976). J Comput Physics 22, 403-434
mass action rate law for third order irreversible reactions, one reactant, discrete scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the cube of one reactant quantity. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000068">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<apply>
<minus/>
<ci>R</ci>
<cn type="integer">1</cn>
</apply>
<apply>
<minus/>
<ci>R</ci>
<cn type="integer">2</cn>
</apply>
</apply>
<cn type="integer">6</cn>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant and the square of the quantity of the other reactant. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000068">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R2</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<ci>R1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>R2</ci>
<apply>
<minus/>
<ci>R2</ci>
<cn type="integer">1</cn>
</apply>
</apply>
<cn type="integer">2</cn>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000145
Gillespie (1976). J Comput Physics 22, 403-434
mass action rate law for third order irreversible reactions, two reactants, discrete scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of one reactant and the square of the quantity of the other reactant. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000068">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R2</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<ci>R1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>R2</ci>
<apply>
<minus/>
<ci>R2</ci>
<cn type="integer">1</cn>
</apply>
</apply>
<cn type="integer">2</cn>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of three reactants. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000068">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R3</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000146
Gillespie (1976). J Comput Physics 22, 403-434
mass action rate law for third order irreversible reactions, three reactants, discrete scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to the quantity of three reactants. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000068">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R3</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<ci>R1</ci>
<ci>R2</ci>
<ci>R3</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Temperature is the physical property of a system which underlies the common notions of "hot" and "cold"; the material with the higher temperature is said to be hotter. Temperature is a quantity related to the average kinetic energy of the particles in a substance. The 10th Conference Generale des Poids et Mesures decided to define the thermodynamic temperature scale by choosing the triple point of water as the fundamental fixed point, and assigning to it the temperature 273,16 degrees Kelvin, exactly (0.01 degree Celsius).
sbo
SBO:0000147
Comptes rendus de la 10e CGPM (1954), 1956, 79
thermodynamic temperature
Temperature is the physical property of a system which underlies the common notions of "hot" and "cold"; the material with the higher temperature is said to be hotter. Temperature is a quantity related to the average kinetic energy of the particles in a substance. The 10th Conference Generale des Poids et Mesures decided to define the thermodynamic temperature scale by choosing the triple point of water as the fundamental fixed point, and assigning to it the temperature 273,16 degrees Kelvin, exactly (0.01 degree Celsius).
src_code:NR
Quantity resulting from the difference between two thermodynamic temperatures. A difference or interval of temperature may be expressed in Kelvins or in degrees Celsius.
sbo
SBO:0000148
Comptes rendus de la 13th CGPM, 1967-1968, Resolution 3
temperature difference
Quantity resulting from the difference between two thermodynamic temperatures. A difference or interval of temperature may be expressed in Kelvins or in degrees Celsius.
src_code:NR
Number of molecules which are acted upon by an enzyme.
sbo
SBO:0000149
number of substrates
Number of molecules which are acted upon by an enzyme.
src_code:NR
Kinetics of enzymes that react with one or several substances, their substrates, that bind independently. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kp</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000149">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Et</ci>
<ci>kp</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">S</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">K</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit>
<cn type="integer"> 1 </cn>
</lowlimit>
<uplimit>
<ci> n </ci>
</uplimit>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">S</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">K</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000150
enzymatic rate law for irreversible non-modulated non-interacting reactant enzymes
Kinetics of enzymes that react with one or several substances, their substrates, that bind independently. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kp</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000149">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Et</ci>
<ci>kp</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">S</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">K</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit>
<cn type="integer"> 1 </cn>
</lowlimit>
<uplimit>
<ci> n </ci>
</uplimit>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">S</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">K</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Kinetics of enzymes that react with two substances, their substrates, that bind independently. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kp</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Et</ci>
<ci>kp</ci>
<apply>
<times/>
<apply>
<divide/>
<ci> S1 </ci>
<ci> K1 </ci>
</apply>
<apply>
<divide/>
<ci> S2 </ci>
<ci> K2 </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S1 </ci>
<ci> K1 </ci>
</apply>
</apply>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S2 </ci>
<ci> K2 </ci>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000151
superfluous 'n' removed [SF bug #3536623].
enzymatic rate law for irreversible non-modulated non-interacting bireactant enzymes
Kinetics of enzymes that react with two substances, their substrates, that bind independently. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kp</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Et</ci>
<ci>kp</ci>
<apply>
<times/>
<apply>
<divide/>
<ci> S1 </ci>
<ci> K1 </ci>
</apply>
<apply>
<divide/>
<ci> S2 </ci>
<ci> K2 </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S1 </ci>
<ci> K1 </ci>
</apply>
</apply>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S2 </ci>
<ci> K2 </ci>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Kinetics of enzymes that react with three substances, their substrates, that bind independently. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kp</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K3</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Et</ci>
<ci>kp</ci>
<apply>
<times/>
<apply>
<divide/>
<ci> S1 </ci>
<ci> K1 </ci>
</apply>
<apply>
<divide/>
<ci> S2 </ci>
<ci> K2 </ci>
</apply>
<apply>
<divide/>
<ci> S3 </ci>
<ci> K3 </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S1 </ci>
<ci> K1 </ci>
</apply>
</apply>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S2 </ci>
<ci> K2 </ci>
</apply>
</apply>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S3 </ci>
<ci> K3 </ci>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000152
superfluous 'n' removed [SF bug #3536623].
enzymatic rate law for irreversible non-modulated non-interacting trireactant enzymes
Kinetics of enzymes that react with three substances, their substrates, that bind independently. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kp</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S3</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">K3</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Et</ci>
<ci>kp</ci>
<apply>
<times/>
<apply>
<divide/>
<ci> S1 </ci>
<ci> K1 </ci>
</apply>
<apply>
<divide/>
<ci> S2 </ci>
<ci> K2 </ci>
</apply>
<apply>
<divide/>
<ci> S3 </ci>
<ci> K3 </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S1 </ci>
<ci> K1 </ci>
</apply>
</apply>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S2 </ci>
<ci> K2 </ci>
</apply>
</apply>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci> S3 </ci>
<ci> K3 </ci>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
sbo
SBO:0000153
forward rate constant
Numerical parameter that quantifies the forward velocity of a chemical reaction. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000154
forward rate constant, continuous case
Numerical parameter that quantifies the forward velocity of a chemical reaction. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a discrete framework.
sbo
SBO:0000155
forward rate constant, discrete case
Numerical parameter that quantifies the forward velocity of a chemical reaction. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a discrete framework.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
sbo
SBO:0000156
reverse rate constant
Numerical parameter that quantifies the forward velocity of a chemical reaction. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
src_code:NR
Number of different substances consumed by a chemical reaction.
sbo
SBO:0000157
number of reactants
Number of different substances consumed by a chemical reaction.
src_code:NR
The order of a reaction with respect to a certain reactant is defined as the power to which its concentration term in the rate equation is raised.
sbo
SBO:0000158
order of a reaction with respect to a reactant
The order of a reaction with respect to a certain reactant is defined as the power to which its concentration term in the rate equation is raised.
src_code:NR
Numerical parameter that quantifies the velocity of a chemical reaction where reactants have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
sbo
SBO:0000159
non-integral order rate constant
Numerical parameter that quantifies the velocity of a chemical reaction where reactants have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction where reactants have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
sbo
SBO:0000160
forward non-integral order rate constant
Numerical parameter that quantifies the forward velocity of a chemical reaction where reactants have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction where products have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the products.
sbo
SBO:0000161
reverse non-integral order rate constant
Numerical parameter that quantifies the reverse velocity of a chemical reaction where products have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the products.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity.
sbo
SBO:0000162
forward zeroth order rate constant
Numerical parameter that quantifies the forward velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity.
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000154">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000157">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000158">mu</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 0 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<power/>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">mu</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000163
mass action rate law for irreversible reactions, continuous scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000154">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000157">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000158">mu</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 0 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<power/>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">mu</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to two reactant quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000010">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> 2 </ci></uplimit>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000164
second order irreversible mass action kinetics, continuous scheme
true
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to two reactant quantity. It is to be used in a reaction modelled using a continuous framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000036">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000010">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> 2 </ci></uplimit>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to three reactant quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000010">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> 3 </ci></uplimit>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000165
third order irreversible mass action kinetics, continuous scheme
true
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. The change of a product quantity is proportional to three reactant quantities. It is to be used in a reaction modelled using a continuous framework. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000037">k</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000010">R</ci></bvar>
<apply>
<times/>
<ci>k</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> 3 </ci></uplimit>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000155">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000157">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000158">mu</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 0 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<factorial/>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<factorial/>
<apply>
<minus/>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">mu</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
<apply>
<factorial/>
<apply>
<selector/>
<ci type="vector">mu</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000166
mass action rate law for irreversible reactions, discrete scheme
Reaction scheme where the products are created from the reactants and the change of a product quantity is proportional to the product of reactant activities. The reaction scheme does not include any reverse process that creates the reactants from the products. It is to be used in a reaction modelled using a discrete framework.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000063">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000155">c</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000157">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000158">mu</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000508">R</ci></bvar>
<apply>
<times/>
<ci>c</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 0 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<factorial/>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<factorial/>
<apply>
<minus/>
<apply>
<selector/>
<ci type="vector">R</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">mu</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
<apply>
<factorial/>
<apply>
<selector/>
<ci type="vector">mu</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
An event involving one or more physical entities that modifies the structure, location or free energy of at least one of the participants.
sbo
SBO:0000167
Modified on 14 August 2006 by Nicolas Le Novere following the suggestion of Kirill Degtyarenko
biochemical or transport reaction
An event involving one or more physical entities that modifies the structure, location or free energy of at least one of the participants.
src_code:NR
Modification of the execution of an event or a process.
sbo
modulation
regulation
SBO:0000168
November 10 2006: change "of a reaction" to "of an event"
control
Modification of the execution of an event or a process.
src_code:NR
Negative modulation of the execution of a process.
sbo
SBO:0000169
Changed "reaction" to "process". NLN
inhibition
Negative modulation of the execution of a process.
src_code:NR
Positive modulation of the execution of a process.
sbo
SBO:0000170
changed "reaction" to "process"
stimulation
Positive modulation of the execution of a process.
src_code:NR
Control that is necessary to the execution of a process.
sbo
absolute stimulation
trigger
SBO:0000171
Changed "reaction" to "process". NLN
necessary stimulation
Control that is necessary to the execution of a process.
src_code:NR
Modification of the velocity of a reaction by lowering the energy of the transition state.
sbo
SBO:0000172
November 10 2006; Nicolas Le Novere: becomes a child of "SBO:0000170
catalysis
Modification of the velocity of a reaction by lowering the energy of the transition state.
src_code:NR
All the preceding events or participating entities are necessary to perform the control.
sbo
SBO:0000173
and
All the preceding events or participating entities are necessary to perform the control.
src_code:NR
Any of the preceding events or participating entities are necessary to perform the control.
sbo
SBO:0000174
or
Any of the preceding events or participating entities are necessary to perform the control.
src_code:NR
Only one of the preceding events or participating entities can perform the control at one time.
sbo
exclusive or
SBO:0000175
xor
Only one of the preceding events or participating entities can perform the control at one time.
src_code:NR
An event involving one or more chemical entities that modifies the electrochemical structure of at least one of the participants.
sbo
SBO:0000176
Modified on 14 August 2006 by Nicolas Le Novere following the suggestion of Kirill Degtyarenko
biochemical reaction
An event involving one or more chemical entities that modifies the electrochemical structure of at least one of the participants.
src_code:NR
Interaction between several biochemical entities that results in the formation of a non-covalent complex
sbo
association
SBO:0000177
"non-covalent" added on February 26 2008 by Nicolas Le Novere.
added synonym [SF req #3503970]
non-covalent binding
Interaction between several biochemical entities that results in the formation of a non-covalent complex
src_code:NR
Rupture of a covalent bond resulting in the conversion of one physical entity into several physical entities.
sbo
SBO:0000178
cleavage
Rupture of a covalent bond resulting in the conversion of one physical entity into several physical entities.
src_code:NR
Complete disappearance of a physical entity.
sbo
SBO:0000179
degradation
Complete disappearance of a physical entity.
src_code:NR
Transformation of a non-covalent complex that results in the formation of several independent biochemical entities
sbo
SBO:0000180
dissociation
Transformation of a non-covalent complex that results in the formation of several independent biochemical entities
src_code:NR
Biochemical reaction that does not result in the modification of covalent bonds of reactants, but rather modifies the conformation of some reactants, that is the relative position of their atoms in space.
sbo
SBO:0000181
Renamed on September 20 2006, following the suggestion of Hiroaki Kitano.
conformational transition
Biochemical reaction that does not result in the modification of covalent bonds of reactants, but rather modifies the conformation of some reactants, that is the relative position of their atoms in space.
src_code:NR
Biochemical reaction that results in the modification of some covalent bonds.
sbo
SBO:0000182
conversion
Biochemical reaction that results in the modification of some covalent bonds.
src_code:NR
Process through which a DNA sequence is copied to produce a complementary RNA.
sbo
SBO:0000183
See GO:0006350
Definition modified on 09 August 2006 by Nicolas Le Novere
transcription
Process through which a DNA sequence is copied to produce a complementary RNA.
src_code:NR
Process in which a polypeptide chain is produced from a messenger RNA.
sbo
SBO:0000184
see GO:0043037
Definition modified on 09 August 2006 by Nicolas Le Novere
translation
Process in which a polypeptide chain is produced from a messenger RNA.
src_code:NR
Movement of a physical entity without modification of the structure of the entity.
sbo
SBO:0000185
transport reaction
Movement of a physical entity without modification of the structure of the entity.
src_code:NR
Limiting maximal velocity of an enzymatic reaction, reached when the substrate is in large excess and all the enzyme is complexed.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<apply>
<times/>
<ci>Et</ci>
<ci>kcat</ci>
</apply>
</lambda>
</math>
sbo
Vmax
SBO:0000186
The symbol Vmax and the names maximum rate and maximum velocity are in widespread use although under normal circumstances there is no finite substrate concentration at which v = V and hence no maximum in the mathematical sense (Eur. J. Biochem. 128:281-291).
maximal velocity
Limiting maximal velocity of an enzymatic reaction, reached when the substrate is in large excess and all the enzyme is complexed.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<apply>
<times/>
<ci>Et</ci>
<ci>kcat</ci>
</apply>
</lambda>
</math>
src_code:NR
Version of Henri-Michaelis-Menten equation where kp*[E]t is replaced by the maximal velocity, Vmax, reached when all the enzyme is active. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000015">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Vmax</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000187
Henri-Michaelis-Menten equation, Vmax form
true
Version of Henri-Michaelis-Menten equation where kp*[E]t is replaced by the maximal velocity, Vmax, reached when all the enzyme is active. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000015">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Vmax</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
A number of objects of the same type, identical or different, involved in a biochemical event.
sbo
SBO:0000188
Added "biochemical" in the name on November 10 2006; Nicolas Le Novere.
number of biochemical items
A number of objects of the same type, identical or different, involved in a biochemical event.
src_code:NR
Number of regions on a reactant to which specific other reactants, in this context collectively called ligands, form a chemical bond.
sbo
SBO:0000189
number of binding sites
Number of regions on a reactant to which specific other reactants, in this context collectively called ligands, form a chemical bond.
src_code:NR
Empirical parameter created by Archibald Vivian Hill to describe the cooperative binding of oxygen on hemoglobine (Hill (1910). The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. J Physiol 40: iv-vii).
sbo
SBO:0000190
Determined from a "Hill plot", it is sometimes assumed to be the number of binding or catalytic sites in a polymer, but it is incorrect. In some mechanistic model, the Hill coefficient gives a lower limit for the number of sites.
Hill coefficient
Empirical parameter created by Archibald Vivian Hill to describe the cooperative binding of oxygen on hemoglobine (Hill (1910). The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. J Physiol 40: iv-vii).
src_code:NR
Empirical constant created by Archibald Vivian Hill to describe the cooperative binding of oxygen on hemoglobine (Hill (1910). The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. J Physiol 40: iv-vii). Different from a microscopic dissociation constant, it has the dimension of concentration to the power of the Hill coefficient.
sbo
SBO:0000191
Hill constant
Empirical constant created by Archibald Vivian Hill to describe the cooperative binding of oxygen on hemoglobine (Hill (1910). The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. J Physiol 40: iv-vii). Different from a microscopic dissociation constant, it has the dimension of concentration to the power of the Hill coefficient.
src_code:NR
Empirical equation created by Archibald Vivian Hill to describe the cooperative binding of oxygen on hemoglobine (Hill (1910). The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. J Physiol 40: iv-vii).<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000191">K</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000190">h</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000256">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Vmax</ci>
<apply>
<power/>
<ci>R</ci>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K</ci>
<ci>n</ci>
</apply>
<apply>
<power/>
<ci>R</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000192
The symbol Vmax and the names maximum rate and maximum velocity are in widespread use although under normal circumstances there is no finite substrate concentration at which v = V and hence no maximum in the mathematical sense (Eur. J. Biochem. 128:281-291).
Hill-type rate law, generalised form
Empirical equation created by Archibald Vivian Hill to describe the cooperative binding of oxygen on hemoglobine (Hill (1910). The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. J Physiol 40: iv-vii).<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000191">K</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000190">h</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000256">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Vmax</ci>
<apply>
<power/>
<ci>R</ci>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K</ci>
<ci>n</ci>
</apply>
<apply>
<power/>
<ci>R</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Constant with the dimension of a powered concentration. It is determined at half-saturation, half-activity etc.
sbo
SBO:0000193
equilibrium or steady-state constant
Constant with the dimension of a powered concentration. It is determined at half-saturation, half-activity etc.
src_code:NR
Dissociation constant equivalent to an intrinsic microscopic dissociation constant, but obtained from an averaging process, for instance by extracting the root of a Hill constant.
sbo
SBO:0000194
pseudo-dissociation constant
Dissociation constant equivalent to an intrinsic microscopic dissociation constant, but obtained from an averaging process, for instance by extracting the root of a Hill constant.
src_code:NR
Hill equation rewritten by creating a pseudo-microscopic constant, equal to the Hill constant powered to the opposite of the Hill coefficient.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000194">K</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000190">h</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Vmax</ci>
<apply>
<power/>
<ci>R</ci>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K</ci>
<ci>h</ci>
</apply>
<apply>
<power/>
<ci>R</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000195
The symbol Vmax and the names maximum rate and maximum velocity are in widespread use although under normal circumstances there is no finite substrate concentration at which v = V and hence no maximum in the mathematical sense (Eur. J. Biochem. 128:281-291).
Hill-type rate law, microscopic form
Hill equation rewritten by creating a pseudo-microscopic constant, equal to the Hill constant powered to the opposite of the Hill coefficient.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000194">K</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000190">h</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Vmax</ci>
<apply>
<power/>
<ci>R</ci>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K</ci>
<ci>h</ci>
</apply>
<apply>
<power/>
<ci>R</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
The amount of an entity per unit of volume.
sbo
[X]
SBO:0000196
concentration of an entity pool
The amount of an entity per unit of volume.
src_code:NR
Concentration of an object divided by the value of another parameter having the dimension of a concentration.
sbo
SBO:0000197
specific concentration of an entity
Concentration of an object divided by the value of another parameter having the dimension of a concentration.
src_code:NR
Hill equation rewritten by replacing the concentration of reactant with its reduced form, that is the concentration divide by a pseudo-microscopic constant, equal to the Hill constant powered to the opposite of the Hill coefficient.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R*</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000190">h</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Vmax</ci>
<apply>
<power/>
<ci>R*</ci>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<cn>1</cn>
<apply>
<power/>
<ci>R*</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000198
The symbol Vmax and the names maximum rate and maximum velocity are in widespread use although under normal circumstances there is no finite substrate concentration at which v = V and hence no maximum in the mathematical sense (Eur. J. Biochem. 128:281-291).
Hill-type rate law, reduced form
Hill equation rewritten by replacing the concentration of reactant with its reduced form, that is the concentration divide by a pseudo-microscopic constant, equal to the Hill constant powered to the opposite of the Hill coefficient.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R*</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000190">h</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>Vmax</ci>
<apply>
<power/>
<ci>R*</ci>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<cn>1</cn>
<apply>
<power/>
<ci>R*</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Kinetics of enzymes that react only with one substance, their substrate. The total enzyme concentration is considered to be equal to 1, therefore the maximal velocity equals the catalytic constant.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000199
normalised enzymatic rate law for unireactant enzymes
Kinetics of enzymes that react only with one substance, their substrate. The total enzyme concentration is considered to be equal to 1, therefore the maximal velocity equals the catalytic constant.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>Ks</ci>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Chemical process in which atoms have their oxidation number (oxidation state) changed.
sbo
SBO:0000200
Added on 09 August 2006 by Nicolas Le Novere following the suggestion of Emek Demir.
redox reaction
Chemical process in which atoms have their oxidation number (oxidation state) changed.
src_code:NR
Chemical process during which a molecular entity loses electrons.
sbo
SBO:0000201
oxidation
Chemical process during which a molecular entity loses electrons.
src_code:NR
Chemical process in which a molecular entity gain electrons.
sbo
SBO:0000202
Added on 09 August 2006 by Nicolas Le Novere
reduction
Chemical process in which a molecular entity gain electrons.
src_code:NR
Reaction in which a reactant gives birth to two products identical to itself.
sbo
SBO:0000203
Added on 09 August 2006 by Nicolas Le Novere to allow the creation of "replication".
duplication
true
Reaction in which a reactant gives birth to two products identical to itself.
src_code:NR
Process in which a DNA duplex is transformed into two identical DNA duplexes.
sbo
SBO:0000204
See GO:0006260
Added on 09 August 2006 by Nicolas Le Novere on the suggestion of Emek Demir.
Modified 04 July 2008 by Nick Juty - changed from replication to dna replication
DNA replication
Process in which a DNA duplex is transformed into two identical DNA duplexes.
src_code:NR
Process that involves the participation of chemical or biological entities and is composed of several elementary steps or reactions.
sbo
SBO:0000205
30/9/08 - modified term name from 'biochemical process' to 'composite biochemical process' - NJ
"event"->"process" in definition on November 18 2008 by Nicolas Le Novere
composite biochemical process
Process that involves the participation of chemical or biological entities and is composed of several elementary steps or reactions.
src_code:NR
Substance that decreases the probability of a chemical reaction, without itself being consumed or transformed by the reaction, by stericaly hindering the interaction between reactants.
sbo
SBO:0000206
Added on 14 August 2006 by Nicolas Le Novere
competitive inhibitor
Substance that decreases the probability of a chemical reaction, without itself being consumed or transformed by the reaction, by stericaly hindering the interaction between reactants.
src_code:NR
Substance that decreases the probability of a chemical reaction, without itself being consumed or transformed by the reaction, and without sterically hindering the interaction between reactants.
sbo
SBO:0000207
non-competitive inhibitor
Substance that decreases the probability of a chemical reaction, without itself being consumed or transformed by the reaction, and without sterically hindering the interaction between reactants.
src_code:NR
Chemical reaction where a proton is given by a compound, the acid, to another one, the base (Brønsted-Lowry definition). An alternative, more general, definition is a reaction where a compound, the base, gives a pair of electrons to another, the acid (Lewis definition).
sbo
SBO:0000208
Created on 24 August 2006 by Nicolas Le Novere
acid-base reaction
Chemical reaction where a proton is given by a compound, the acid, to another one, the base (Brønsted-Lowry definition). An alternative, more general, definition is a reaction where a compound, the base, gives a pair of electrons to another, the acid (Lewis definition).
src_code:NR
Ionization is the physical process of converting an atom or molecule into an ion by changing the difference between the number of protons and electrons.
sbo
SBO:0000209
Created on 24 August 2006 by Nicolas Le Novere
ionisation
Ionization is the physical process of converting an atom or molecule into an ion by changing the difference between the number of protons and electrons.
src_code:NR
Covalent reaction that results in the addition of a chemical group on a molecule.
sbo
SBO:0000210
Added on September 13 2006 by Nicolas Le Novere based on Patika ontology.
addition of a chemical group
Covalent reaction that results in the addition of a chemical group on a molecule.
src_code:NR
Covalent reaction that results in the removal of a chemical group from a molecule.
sbo
SBO:0000211
Added on September 13 2006 by Nicolas Le Novere based on Patika ontology.
removal of a chemical group
Covalent reaction that results in the removal of a chemical group from a molecule.
src_code:NR
Addition of a proton (H+) to a chemical entity.
sbo
SBO:0000212
Added on September 13 2006 by Nicolas Le Novere.
protonation
Addition of a proton (H+) to a chemical entity.
src_code:NR
Removal of a proton (hydrogen ion H+) from a chemical entity.
sbo
SBO:0000213
Added on September 13 2006 by Nicolas Le Novere.
deprotonation
Removal of a proton (hydrogen ion H+) from a chemical entity.
src_code:NR
Addition of a methyl group (-CH3) to a chemical entity.
sbo
SBO:0000214
Added on September 13 2006 by Nicolas Le Novere.
methylation
Addition of a methyl group (-CH3) to a chemical entity.
src_code:NR
Addition of an acetyl group (-COCH3) to a chemical entity.
sbo
SBO:0000215
Added on September 13 2006 by Nicolas Le Novere.
acetylation
Addition of an acetyl group (-COCH3) to a chemical entity.
src_code:NR
Addition of a phosphate group (-H2PO4) to a chemical entity.
sbo
SBO:0000216
Added on September 13 2006 by Nicolas Le Novere.
phosphorylation
Addition of a phosphate group (-H2PO4) to a chemical entity.
src_code:NR
Addition of a saccharide group to a chemical entity.
sbo
SBO:0000217
Added on September 13 2006 by Nicolas Le Novere.
glycosylation
Addition of a saccharide group to a chemical entity.
src_code:NR
Addition of a palmitoyl group (CH3-[CH2]14-CO-) to a chemical entity.
sbo
SBO:0000218
Added on September 13 2006 by Nicolas Le Novere.
palmitoylation
Addition of a palmitoyl group (CH3-[CH2]14-CO-) to a chemical entity.
src_code:NR
Addition of a myristoyl (CH3-[CH2]12-CO-) to a chemical entity.
sbo
SBO:0000219
Added on September 13 2006 by Nicolas Le Novere.
myristoylation
Addition of a myristoyl (CH3-[CH2]12-CO-) to a chemical entity.
src_code:NR
Addition of a sulfate group (SO4--) to a chemical entity.
sbo
sulphation
SBO:0000220
Added on September 13 2006 by Nicolas Le Novere.
sulfation
Addition of a sulfate group (SO4--) to a chemical entity.
src_code:NR
Addition of a prenyl group (generic sense) to a chemical entity.
sbo
isoprenylation
SBO:0000221
Added on September 13 2006 by Nicolas Le Novere.
prenylation
Addition of a prenyl group (generic sense) to a chemical entity.
src_code:NR
Addition of a farnesyl group (CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)2) to a chemical entity.
sbo
SBO:0000222
Added on September 13 2006 by Nicolas Le Novere.
farnesylation
Addition of a farnesyl group (CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)2) to a chemical entity.
src_code:NR
Addition of a geranylgeranyl group (CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)2) to a chemical entity.
sbo
SBO:0000223
Added on September 13 2006 by Nicolas Le Novere.
geranylgeranylation
Addition of a geranylgeranyl group (CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)-CH2-CH2-CH=C(CH3)2) to a chemical entity.
src_code:NR
Covalent linkage to the protein ubiquitin.
sbo
SBO:0000224
Added on September 13 2006 by Nicolas Le Novere.
ubiquitination
Covalent linkage to the protein ubiquitin.
src_code:NR
Time during which some action is awaited.
sbo
SBO:0000225
Added on September 13 2006 by Nicolas Le Novere.
delay
Time during which some action is awaited.
src_code:NR
A quantitative measure of an amount or property of an entity expressed in terms of another dimension, such as unit length, area or volume.
sbo
SBO:0000226
density of an entity pool
A quantitative measure of an amount or property of an entity expressed in terms of another dimension, such as unit length, area or volume.
src_code:NR
The mass of an entity expressed with reference to another dimension, such as unit length, area or volume.
sbo
SBO:0000227
mass density of an entity
The mass of an entity expressed with reference to another dimension, such as unit length, area or volume.
src_code:NR
Mass of an entity per unit volume.
sbo
SBO:0000228
volume density of an entity
Mass of an entity per unit volume.
src_code:NR
The mass of an entity per unit of surface area.
sbo
SBO:0000229
Added on September 13 2006 by Nicolas Le Novere.
area density of an entity
The mass of an entity per unit of surface area.
src_code:NR
Mass of an entity per unit length.
sbo
SBO:0000230
linear density of an entity
Mass of an entity per unit length.
src_code:NR
Representation of an entity that manifests, unfolds or develops through time, such as a discrete event, or a mutual or reciprocal action or influence that happens between participating physical entities, and/or other occurring entities.
sbo
SBO:0000231
modified as part of ontology 'refactoring' process [SF bug #3172586]
Name changed to "interaction" on November 18 2008 by Nicolas Le Novere.
Definition changed to mention interaction with other interactions, in order to cover "process" and "relationship".
occurring entity representation
Representation of an entity that manifests, unfolds or develops through time, such as a discrete event, or a mutual or reciprocal action or influence that happens between participating physical entities, and/or other occurring entities.
src_code:NR
A phenomenon that takes place and which may be observable, or may be determined to have occurred as the result of an action or process.
sbo
SBO:0000232
obsolete event
true
A phenomenon that takes place and which may be observable, or may be determined to have occurred as the result of an action or process.
src_code:NR
Addition of an hydroxyl group (-OH) to a chemical entity.
sbo
SBO:0000233
Added on September 20 2006 by Nicolas Le Novere.
hydroxylation
Addition of an hydroxyl group (-OH) to a chemical entity.
src_code:NR
Modelling approach, pioneered by Rene Thomas and Stuart Kaufman, where the evolution of a system is described by the transitions between discrete activity states of "genes" that control each other.
sbo
SBO:0000234
Created on October 17 2006 by Nicolas Le Novere
logical framework
Modelling approach, pioneered by Rene Thomas and Stuart Kaufman, where the evolution of a system is described by the transitions between discrete activity states of "genes" that control each other.
src_code:NR
Entity that affects or is affected by an event.
sbo
SBO:0000235
participant
true
Entity that affects or is affected by an event.
src_code:NR
Representation of an entity that may participate in an interaction, a process or relationship of significance.
sbo
new synonym
SBO:0000236
modified as part of ontology 'refactoring' process [SF bug #3172586]
18 November 2008 by Nicolas Le Novere: Name reduced to entity, and definition modified.
physical entity representation
Representation of an entity that may participate in an interaction, a process or relationship of significance.
src_code:NR
Combining the influence of several entities or events in a unique influence.
sbo
SBO:0000237
Created by Nicolas Le Novere on November 10 2006.
"logical" added in the name by Nicolas Le Novere on November 17 2008.
logical combination
Combining the influence of several entities or events in a unique influence.
src_code:NR
The preceding event or participating entity cannot participate to the control.
sbo
SBO:0000238
Created on November 10 2006 by Nicolas Le Novere
not
The preceding event or participating entity cannot participate to the control.
src_code:NR
Regulation of the influence of a reaction participant by binding an effector to a binding site of the participant different of the site of the participant conveying the influence.
sbo
SBO:0000239
Create on November 10 2006 by Nicolas Le Novere.
allosteric control
Regulation of the influence of a reaction participant by binding an effector to a binding site of the participant different of the site of the participant conveying the influence.
src_code:NR
A real thing that is defined by its physico-chemical structure.
sbo
SBO:0000240
Created on November 10 2006 by Nicolas Le Novere.
material entity
A real thing that is defined by its physico-chemical structure.
src_code:NR
A real thing, defined by its properties or the actions it performs, rather than it physico-chemical structure.
sbo
SBO:0000241
Created on November 10 2006 by Nicolas Le Novere.
Name changed from "conceptual" to "functional" on November 18 2008 by Nicolas Le Novere.
functional entity
A real thing, defined by its properties or the actions it performs, rather than it physico-chemical structure.
src_code:NR
A component that allows another component to pass through itself, possibly connecting different compartments.
sbo
SBO:0000242
channel
A component that allows another component to pass through itself, possibly connecting different compartments.
src_code:NR
A locatable region of genomic sequence, corresponding to a unit of inheritance, which is associated with regulatory regions, transcribed regions and/or other functional sequence regions.
Sequence Ontology SO:0000704
sbo
SBO:0000243
Created on November 10 2006 by Nicolas Le Novere.
gene
A locatable region of genomic sequence, corresponding to a unit of inheritance, which is associated with regulatory regions, transcribed regions and/or other functional sequence regions.
Sequence Ontology SO:0000704
src_code:NR
Participating entity that binds to a specific physical entity and initiates the response to that physical entity.The original concept of the receptor was introduced independently at the end of the 19th century by John Newport Langley (1852-1925) and Paul Ehrlich (1854-1915).
Langley JN.On the reaction of cells and of nerve-endings to certain poisons, chiefly as regards the reaction of striated muscle to nicotine and to curari. J Physiol. 1905 Dec 30;33(4-5):374-413.
sbo
SBO:0000244
Created on November 10 2006 by Nicolas Le Novere
receptor
Participating entity that binds to a specific physical entity and initiates the response to that physical entity.The original concept of the receptor was introduced independently at the end of the 19th century by John Newport Langley (1852-1925) and Paul Ehrlich (1854-1915).
Langley JN.On the reaction of cells and of nerve-endings to certain poisons, chiefly as regards the reaction of striated muscle to nicotine and to curari. J Physiol. 1905 Dec 30;33(4-5):374-413.
src_code:NR
Molecular entity mainly built-up by the repetition of pseudo-identical units.
CHEBI:33839
sbo
SBO:0000245
Created on November 10 2006 by Nicolas Le Novere.
macromolecule
Molecular entity mainly built-up by the repetition of pseudo-identical units.
CHEBI:33839
src_code:NR
Macromolecule whose sequence is encoded in the genome of living organisms.
sbo
SBO:0000246
Cf. CHEBI:33695
information macromolecule
Macromolecule whose sequence is encoded in the genome of living organisms.
src_code:NR
Simple, non-repetitive chemical entity.
sbo
SBO:0000247
Created on November 10 2006 by Nicolas Le Novere.
simple chemical
Simple, non-repetitive chemical entity.
src_code:NR
Macromolecule whose sequence is not directly encoded in the genome.
sbo
SBO:0000248
chemical macromolecule
Macromolecule whose sequence is not directly encoded in the genome.
src_code:NR
Macromolecule consisting of a large number of monosaccharide residues linked by glycosidic bonds.
CHEBI:18154
sbo
SBO:0000249
Created on November 10 2006 by Nicolas Le Novere.
polysaccharide
Macromolecule consisting of a large number of monosaccharide residues linked by glycosidic bonds.
CHEBI:18154
src_code:NR
Macromolecule formed by a repetition of ribonucleosides linked by phosphodiester bonds.
CHEBI:33697
sbo
RNA
SBO:0000250
Created on November 10 2006 by Nicolas Le Novere.
ribonucleic acid
Macromolecule formed by a repetition of ribonucleosides linked by phosphodiester bonds.
CHEBI:33697
src_code:NR
Polymer composed of nucleotides containing deoxyribose and linked by phosphodiester bonds.
CHEBI:16991
sbo
DNA
SBO:0000251
Created on November 10 2006 by Nicolas Le Novere.
deoxyribonucleic acid
Polymer composed of nucleotides containing deoxyribose and linked by phosphodiester bonds.
CHEBI:16991
src_code:NR
Naturally occurring macromolecule formed by the repetition of amino-acid residues linked by peptidic bonds. A polypeptide chain is synthesized by the ribosome.
CHEBI:16541
sbo
SBO:0000252
Name changed on January 10 2007 by Nicolas Le Novere, to disambiguate from non-ribosomal peptides.
Created on November 10 2006 by Nicolas Le Novere.
polypeptide chain
Naturally occurring macromolecule formed by the repetition of amino-acid residues linked by peptidic bonds. A polypeptide chain is synthesized by the ribosome.
CHEBI:16541
src_code:NR
Entity composed of several independant components that are not linked by covalent bonds.
sbo
SBO:0000253
Created on November 10 2006 by Nicolas Le Novere.
non-covalent complex
Entity composed of several independant components that are not linked by covalent bonds.
src_code:NR
Measure of the degree to which an object opposes the passage of an electric current. The SI unit of electrical resistance is the ohm.
sbo
SBO:0000254
Created on November 10 2006 by Nicolas Le Novere.
electrical resistance
Measure of the degree to which an object opposes the passage of an electric current. The SI unit of electrical resistance is the ohm.
src_code:NR
Parameter characterising a physical system or the environment, and independent of life's influence.
sbo
SBO:0000255
Name modified from physical parameter to physical characteristic on March 17 2007 by Nicolas Le Novere.
Terms 'biochemical parameter' (SBO:0000256) and 'physical characteristic' (SBO:0000255) obsoleted as described by SourceForge Tracker #3102840. Please use parent term 'quantitative parameter', SBO:0000002, or a more suitable term.
physical characteristic
true
Parameter characterising a physical system or the environment, and independent of life's influence.
src_code:NR
Parameter that depends on the biochemical properties of a system.
sbo
SBO:0000256
Terms 'biochemical parameter' (SBO:0000256) and 'physical
characteristic' (SBO:0000255) obsoleted as described by SourceForge Tracker #3102840.
Please use parent term 'quantitative parameter', SBO:0000002, or a more suitable term.
biochemical parameter
true
Parameter that depends on the biochemical properties of a system.
src_code:NR
Measure of how easily electricity flows along a certain path through an electrical element. The SI derived unit of conductance is the Siemens.
sbo
SBO:0000257
conductance
Measure of how easily electricity flows along a certain path through an electrical element. The SI derived unit of conductance is the Siemens.
src_code:NR
Measure of the amount of electric charge stored (or separated) for a given electric potential. The unit of capacitance id the Farad.
sbo
SBO:0000258
Created on November 10 2006 by Nicolas Le Novere.
capacitance
Measure of the amount of electric charge stored (or separated) for a given electric potential. The unit of capacitance id the Farad.
src_code:NR
Difference of electrical potential between two points of an electrical network, expressed in volts.
sbo
electrical potential difference
SBO:0000259
Created on November 10 2006 by Nicolas Le Novere.
voltage
Difference of electrical potential between two points of an electrical network, expressed in volts.
src_code:NR
Inhibition of a unireactant enzyme by one inhibitor that binds once to the free enzyme and prevents the binding of the substrate. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
simple intersecting linear competitive inhibition of unireactant enzymes
SBO:0000260
enzymatic rate law for simple competitive inhibition of irreversible unireactant enzymes by one inhibitor
Inhibition of a unireactant enzyme by one inhibitor that binds once to the free enzyme and prevents the binding of the substrate. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Dissociation constant of a compound from a target of which it inhibits the function.
sbo
Ki
inhibition constant
SBO:0000261
Created on November 10 2006 by Nicolas Le Novere.
inhibitory constant
Dissociation constant of a compound from a target of which it inhibits the function.
src_code:NR
Inhibition of a unireactant enzyme by one inhibitor that binds only to the complex enzyme-substrate and totally prevent the catalysis. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
<ci>Ks</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
simple linear uncompetitive inhibition
SBO:0000262
enzymatic rate law for simple uncompetitive inhibition of irreversible unireactant enzymes
Inhibition of a unireactant enzyme by one inhibitor that binds only to the complex enzyme-substrate and totally prevent the catalysis. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
<ci>Ks</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Ratio of an equilibrium constant in a given condition by the same equilibrium constant is not fullfilled.
sbo
SBO:0000263
Created on November 10 2006 by Nicolas Le Novere
relative equilibrium constant
Ratio of an equilibrium constant in a given condition by the same equilibrium constant is not fullfilled.
src_code:NR
Ratio of the dissociation constant of an inhibitor from the complex enzyme-substrate on the dissociation constant of an inhibitor from the free enzyme.
sbo
SBO:0000264
Created on November 10 2006 by Nicolas Le Novere
relative inhibition constant
Ratio of the dissociation constant of an inhibitor from the complex enzyme-substrate on the dissociation constant of an inhibitor from the free enzyme.
src_code:NR
Inhibition of a unireactant enzyme by one inhibitor that can bind to the complex enzyme-substrate and the free enzyme, possibly with different equilibrium constant, and totally prevent the catalysis. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000385">a</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<apply>
<times/>
<ci>a</ci>
<ci>Ki</ci>
</apply></apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
simple intersecting linear mixed-type competitive inhibition
SBO:0000265
enzymatic rate law for simple mixed-type inhibition of irreversible unireactant enzymes
Inhibition of a unireactant enzyme by one inhibitor that can bind to the complex enzyme-substrate and the free enzyme, possibly with different equilibrium constant, and totally prevent the catalysis. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000385">a</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<apply>
<times/>
<ci>a</ci>
<ci>Ki</ci>
</apply></apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of a unireactant enzyme by one inhibitor that can bind to the complex enzyme-substrate and the free enzyme with the same equilibrium constant, and totally prevent the catalysis.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000266
enzymatic rate law for simple irreversible non-competitive inhibition of unireactant enzymes
Inhibition of a unireactant enzyme by one inhibitor that can bind to the complex enzyme-substrate and the free enzyme with the same equilibrium constant, and totally prevent the catalysis.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of a unireactant enzyme by one inhibitor that can bind one or several times to the free enzyme, and prevent the binding of the substrate. The enzymes do not catalyse the reactions in both directions.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000189">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>S</ci>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<power/>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
<ci>n</ci>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
multiple competitive inhibition by one inhibitor of unireactant enzymes
SBO:0000267
n indicates the number of binding sites for the inhibitor I.
enzymatic rate law for competitive inhibition of irreversible unireactant enzymes by one inhibitor
Inhibition of a unireactant enzyme by one inhibitor that can bind one or several times to the free enzyme, and prevent the binding of the substrate. The enzymes do not catalyse the reactions in both directions.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000189">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<ci>S</ci>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<power/>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I</ci>
<ci>Ki</ci>
</apply>
</apply>
<ci>n</ci>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Enzyme kinetics is the study of the rates of chemical reactions that are catalysed by enzymes, how this rate is controlled, and how drugs and poisons can inhibit its activity.
sbo
SBO:0000268
enzymatic rate law
Enzyme kinetics is the study of the rates of chemical reactions that are catalysed by enzymes, how this rate is controlled, and how drugs and poisons can inhibit its activity.
src_code:NR
Kinetics of enzymes that catalyse the transformation of only one substrate.
sbo
SBO:0000269
enzymatic rate law for unireactant enzymes
Kinetics of enzymes that catalyse the transformation of only one substrate.
src_code:NR
Inhibition of a unireactant enzyme by inhibitors that bind to the free enzyme on the same binding site than the substrate. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">I</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ki</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000270
enzymatic rate law for competitive inhibition of irreversible unireactant enzymes by exclusive inhibitors
Inhibition of a unireactant enzyme by inhibitors that bind to the free enzyme on the same binding site than the substrate. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">I</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ki</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of a unireactant enzyme by two inhibitors that bind to the free enzyme on the same binding site than the substrate. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000271
enzymatic rate law for competitive inhibition of irreversible unireactant enzymes by two exclusive inhibitors
Inhibition of a unireactant enzyme by two inhibitors that bind to the free enzyme on the same binding site than the substrate. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Number of entities that inhibit a reaction.
sbo
SBO:0000272
Created on November 11 2006 by Nicolas Le Novere.
number of inhibitors
Number of entities that inhibit a reaction.
src_code:NR
Inhibition of a unireactant enzyme by inhibitors that bind independently to the free enzyme and preclude the binding of the substrate. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000189">m</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<power/>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">I</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ki</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
<apply>
<selector/>
<ci type="vector">m</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000273
n indicates the number of inhibitors, and mi the number of binding sites for the inhibitor Ii.
enzymatic rate law for competitive inhibition of irreversible unireactant enzymes by non-exclusive non-cooperative inhibitors
Inhibition of a unireactant enzyme by inhibitors that bind independently to the free enzyme and preclude the binding of the substrate. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000189">m</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<product/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<power/>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">I</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ki</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
<apply>
<selector/>
<ci type="vector">m</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of a unireactant enzyme by two inhibitors that can bind independently once to the free enzyme and preclude the binding of the substrate. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>I1</ci>
<ci>I2</ci>
</apply>
<apply>
<times/>
<ci>Ki1</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000274
enzymatic rate law for simple competitive inhibition of irreversible unireactant enzymes by two non-exclusive, non-cooperative inhibitors
Inhibition of a unireactant enzyme by two inhibitors that can bind independently once to the free enzyme and preclude the binding of the substrate. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>I1</ci>
<ci>I2</ci>
</apply>
<apply>
<times/>
<ci>Ki1</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of a unireactant enzyme by inhibitors that can bind to the complex enzyme-substrate and the free enzyme, possibly with different equilibrium constants, and totally prevent the catalysis. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000385">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">I</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ki</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">I</ci>
<ci> i </ci>
</apply>
<apply>
<times/>
<apply>
<selector/>
<ci type="vector">a</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ki</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000275
enzymatic rate law for mixed-type inhibition of irreversible enzymes by mutually exclusive inhibitors
Inhibition of a unireactant enzyme by inhibitors that can bind to the complex enzyme-substrate and the free enzyme, possibly with different equilibrium constants, and totally prevent the catalysis. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000385">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">I</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ki</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">I</ci>
<ci> i </ci>
</apply>
<apply>
<times/>
<apply>
<selector/>
<ci type="vector">a</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ki</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of unireactant enzymes by two inhibitors that can bind to the complex enzyme-substrate and the free enzyme, possibly with different equilibrium constant, and totally prevent the catalysis. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000385">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000385">b</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<apply>
<times/>
<ci>a</ci>
<ci>Ki1</ci>
</apply>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<apply>
<times/>
<ci>b</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000276
enzymatic rate law for mixed-type inhibition of irreversible unireactant enzymes by two inhibitors
Inhibition of unireactant enzymes by two inhibitors that can bind to the complex enzyme-substrate and the free enzyme, possibly with different equilibrium constant, and totally prevent the catalysis. The enzymes do not catalyse the reactions in both directions. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000385">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000385">b</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<apply>
<times/>
<ci>a</ci>
<ci>Ki1</ci>
</apply>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<apply>
<times/>
<ci>b</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of unireactant enzymes by two inhibitors that can bind to the complex enzyme-substrate and the free enzyme with the same equilibrium constant and totally prevent the catalysis. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000277
enzymatic rate law for non-competitive inhibition of irreversible unireactant enzymes by two exclusively binding inhibitors
Inhibition of unireactant enzymes by two inhibitors that can bind to the complex enzyme-substrate and the free enzyme with the same equilibrium constant and totally prevent the catalysis. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
A messenger RNA is a ribonucleic acid synthesized during the transcription of a gene, and that carries the information to encode one or several proteins.
sbo
mRNA
SBO:0000278
Created on November 16 2006 by Nicolas Le Novere
messenger RNA
A messenger RNA is a ribonucleic acid synthesized during the transcription of a gene, and that carries the information to encode one or several proteins.
src_code:NR
Pressure (symbol: p) is the force per unit area applied on a surface in a direction perpendicular to that surface. The unit of pressure is the Pascal (Pa), that is equal to 1 Newton per square meter.
sbo
SBO:0000279
Created on November 21 2006 by Nicolas Le Novere
pressure
Pressure (symbol: p) is the force per unit area applied on a surface in a direction perpendicular to that surface. The unit of pressure is the Pascal (Pa), that is equal to 1 Newton per square meter.
src_code:NR
In biochemistry, a ligand is an effector, a physical entity that binds to a site on a receptor's surface by intermolecular forces.
sbo
SBO:0000280
Created on November 27 2006 by Nicolas Le Novere
ligand
In biochemistry, a ligand is an effector, a physical entity that binds to a site on a receptor's surface by intermolecular forces.
src_code:NR
Quantity characterizing a chemical equilibrium in a chemical reaction, which is a useful tool to determine the concentration of various reactants or products in a system where chemical equilibrium occurs.
sbo
Keq
SBO:0000281
Created on November 27 2006 by Nicolas Le Novere on the suggestion of Martin Golebiewski.
equilibrium constant
Quantity characterizing a chemical equilibrium in a chemical reaction, which is a useful tool to determine the concentration of various reactants or products in a system where chemical equilibrium occurs.
src_code:NR
Equilibrium constant that measures the propensity of a larger object to separate (dissociate) reversibly into smaller components, as when a complex falls apart into its component molecules, or when a salt splits up into its component ions. The dissociation constant is usually denoted Kd and is the inverse of the affinity constant.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000338">koff</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000341">Kon</ci></bvar>
<apply>
<divide/>
<ci>koff</ci>
<ci>Kon</ci>
</apply>
</lambda>
</math>
sbo
Kd
SBO:0000282
Created on November 27 2006 by Nicolas Le Novere
dissociation constant
Equilibrium constant that measures the propensity of a larger object to separate (dissociate) reversibly into smaller components, as when a complex falls apart into its component molecules, or when a salt splits up into its component ions. The dissociation constant is usually denoted Kd and is the inverse of the affinity constant.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000338">koff</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000341">Kon</ci></bvar>
<apply>
<divide/>
<ci>koff</ci>
<ci>Kon</ci>
</apply>
</lambda>
</math>
src_code:NR
Equilibrium constant that indicates the extent of dissociation of hydrogen ions from an acid. The equilibrium is that of a proton transfer from an acid, HA, to water, H2O. The term for the concentration of water, [H2O], is omitted from the general equilibrium constant expression. Ka=([H3O+]*[A-])/(HA)
sbo
Ka
SBO:0000283
Created on November 27 2006 by Nicolas Le Novere on a suggestion by Martin Golebviewski
acid dissociation constant
Equilibrium constant that indicates the extent of dissociation of hydrogen ions from an acid. The equilibrium is that of a proton transfer from an acid, HA, to water, H2O. The term for the concentration of water, [H2O], is omitted from the general equilibrium constant expression. Ka=([H3O+]*[A-])/(HA)
src_code:NR
Participating entity that facilitates the movement of another physical entity from a defined subset of the physical environment (for instance a cellular compartment) to another.
sbo
SBO:0000284
Created on November 28 2006 by Nicolas Le Novere
transporter
Participating entity that facilitates the movement of another physical entity from a defined subset of the physical environment (for instance a cellular compartment) to another.
src_code:NR
Material entity whose nature is unknown or irrelevant.
sbo
SBO:0000285
material entity of unspecified nature
Material entity whose nature is unknown or irrelevant.
src_code:NR
Non-covalent association of identical, or pseudo-identical, entities. By pseudo-identical entities, we mean biochemical elements that differ chemically, although remaining globally identical in structure and/or function. Examples are homologous subunits in an hetero-oligomeric receptor.
sbo
SBO:0000286
Created on December 1 2006 by Nicolas Le Novere.
multimer
Non-covalent association of identical, or pseudo-identical, entities. By pseudo-identical entities, we mean biochemical elements that differ chemically, although remaining globally identical in structure and/or function. Examples are homologous subunits in an hetero-oligomeric receptor.
src_code:NR
Concentration of an active compound at which 50% of its maximal effect is observed. The EC50 is not a pure characteristic of the compound but depends on the conditions or the measurement.
sbo
SBO:0000287
Created on December 7th 2006 by Nicolas Le Novere on the suggestion of Martin Golebiewski
EC50
Concentration of an active compound at which 50% of its maximal effect is observed. The EC50 is not a pure characteristic of the compound but depends on the conditions or the measurement.
src_code:NR
Also called half maximal inhibitory concentration, it represents the concentration of an inhibitor substance that is required to suppress 50% of an effect.
sbo
SBO:0000288
Created on December 7 2006 by Nicolas Le Novere on the request of Martin Golebiewski.
IC50
Also called half maximal inhibitory concentration, it represents the concentration of an inhibitor substance that is required to suppress 50% of an effect.
src_code:NR
Logical or physical subset of the event space that contains pools, that is sets of participants considered identical when it comes to the event they are involved into. A compartment can have any number of dimensions, including 0, and be of any size including null.
sbo
SBO:0000289
Created on December 11 2006 by Nicolas Le Novere
functional compartment
Logical or physical subset of the event space that contains pools, that is sets of participants considered identical when it comes to the event they are involved into. A compartment can have any number of dimensions, including 0, and be of any size including null.
src_code:NR
Specific location of space, that can be bounded or not. A physical compartment can have 1, 2 or 3 dimensions.
sbo
SBO:0000290
Created on December 14 2006 by Nicolas Le Novere
physical compartment
Specific location of space, that can be bounded or not. A physical compartment can have 1, 2 or 3 dimensions.
src_code:NR
Entity defined by the absence of any actual object. An empty set is often used to represent the source of a creation process or the result of a degradation process.
sbo
SBO:0000291
moved from conceptual to material entity
empty set
Entity defined by the absence of any actual object. An empty set is often used to represent the source of a creation process or the result of a degradation process.
src_code:NR
Modelling approach where the quantities of participants are considered continuous, and represented by real values. The associated simulation methods make use of differential equations. The models take into account the distribution of the entities and describe the spatial fluxes.
sbo
SBO:0000292
Created on December 22 2006 by Nicolas Le Novere
spatial continuous framework
Modelling approach where the quantities of participants are considered continuous, and represented by real values. The associated simulation methods make use of differential equations. The models take into account the distribution of the entities and describe the spatial fluxes.
src_code:NR
Modelling approach where the quantities of participants are considered continuous, and represented by real values. The associated simulation methods make use of differential equations. The models do not take into account the distribution of the entities and describe only the temporal fluxes.
sbo
SBO:0000293
Created on December 22 2006 by Nicolas Le Novere
non-spatial continuous framework
Modelling approach where the quantities of participants are considered continuous, and represented by real values. The associated simulation methods make use of differential equations. The models do not take into account the distribution of the entities and describe only the temporal fluxes.
src_code:NR
Modelling approach where the quantities of participants are considered discrete, and represented by integer values. The associated simulation methods can be deterministic or stochastic. The models take into account the distribution of the entities and describe the spatial fluxes.
sbo
SBO:0000294
Created on December 22 2006 by Nicolas Le Novere
spatial discrete framework
Modelling approach where the quantities of participants are considered discrete, and represented by integer values. The associated simulation methods can be deterministic or stochastic. The models take into account the distribution of the entities and describe the spatial fluxes.
src_code:NR
Modelling approach where the quantities of participants are considered discrete, and represented by integer values. The associated simulation methods can be deterministic or stochastic.The models do not take into account the distribution of the entities and describe only the temporal fluxes.
sbo
SBO:0000295
Created on Decemer 22 2006 by Nicolas Le Novere
non-spatial discrete framework
Modelling approach where the quantities of participants are considered discrete, and represented by integer values. The associated simulation methods can be deterministic or stochastic.The models do not take into account the distribution of the entities and describe only the temporal fluxes.
src_code:NR
Non-covalent complex of one or more macromolecules and zero or more simple chemicals.
sbo
SBO:0000296
Created on January 10 2007 by Nicolas Le Novere.
macromolecular complex
Non-covalent complex of one or more macromolecules and zero or more simple chemicals.
src_code:NR
Macromolecular complex containing one or more polypeptide chains possibly associated with simple chemicals.
CHEBI:36080
sbo
SBO:0000297
Created on January 10 2007 by Nicolas Le Novere on the suggestion of Douglas Kell
protein complex
Macromolecular complex containing one or more polypeptide chains possibly associated with simple chemicals.
CHEBI:36080
src_code:NR
Chemical entity that is engineered by a human-designed process ex-vivo rather than a produced by a living entity.
sbo
SBO:0000298
Created on January 10 2006 by Nicolas Le Novere
synthetic chemical compound
Chemical entity that is engineered by a human-designed process ex-vivo rather than a produced by a living entity.
src_code:NR
Substance produced by metabolism or by a metabolic process.
sbo
SBO:0000299
Created on January 10 2007 by Nicolas Le Novere on the suggestion of Douglas Kell
metabolite
Substance produced by metabolism or by a metabolic process.
src_code:NR
Total amount of enzyme catalysing a reaction, divided by the volume of reaction.
sbo
Et
SBO:0000300
Created on January 20 2007 by Nicolas Le Novere
total concentration of enzyme
true
Total amount of enzyme catalysing a reaction, divided by the volume of reaction.
src_code:NR
Constant representing the actual efficiency of an enzyme at a given concentration, taking into account its microscopic catalytic activity and the rates of substrate binding and dissociation.
NB. The symbol Vmax and the names maximum rate and maximum velocity are in widespread use although under normal circumstances there is no finite substrate concentration at which v = V and hence no maximum in the mathematical sense (Eur. J. Biochem. 128:281-291).<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Km</ci></bvar>
<apply>
<divide/>
<ci>Vmax</ci>
<ci>Km</ci>
</apply>
</lambda>
</math>
sbo
SBO:0000301
Created on January 20 2007 by Nicolas Le Novere
May 15 2008: Added a note of usage of Vmax following comment from Andreas Draeger
total catalytic efficiency
Constant representing the actual efficiency of an enzyme at a given concentration, taking into account its microscopic catalytic activity and the rates of substrate binding and dissociation.
NB. The symbol Vmax and the names maximum rate and maximum velocity are in widespread use although under normal circumstances there is no finite substrate concentration at which v = V and hence no maximum in the mathematical sense (Eur. J. Biochem. 128:281-291).<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000186">Vmax</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Km</ci></bvar>
<apply>
<divide/>
<ci>Vmax</ci>
<ci>Km</ci>
</apply>
</lambda>
</math>
src_code:NR
Constant representing the actual efficiency of an enzyme, taking into account its microscopic catalytic activity and the rates of substrate binding and dissociation.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Km</ci></bvar>
<apply>
<divide/>
<ci>kcat</ci>
<ci>Km</ci>
</apply>
</lambda>
</math>
sbo
SBO:0000302
Created on January 20 2007 by Nicolas Le Novere
catalytic efficiency
Constant representing the actual efficiency of an enzyme, taking into account its microscopic catalytic activity and the rates of substrate binding and dissociation.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Km</ci></bvar>
<apply>
<divide/>
<ci>kcat</ci>
<ci>Km</ci>
</apply>
</lambda>
</math>
src_code:NR
Derivative of a biochemical energy per a substance.
sbo
chemical potential
SBO:0000303
Created on February 3 2007 by Nicolas Le Novere.
biochemical potential
Derivative of a biochemical energy per a substance.
src_code:NR
Negative logarithm (base 10) of the activity of hydrogen in a solution. Ina diluted solution, this activity is equal to the concentration of protons (in fact of ions H3O+). The pH is proportional to the chemical potential of hydrogen, by the relation: pH = -µH ÷ 2.3RT. (with µH=-RTln[H+]).
sbo
potential of hydrogen
SBO:0000304
Created on February 3 2007 by Nicolas Le Novere.
pH
Negative logarithm (base 10) of the activity of hydrogen in a solution. Ina diluted solution, this activity is equal to the concentration of protons (in fact of ions H3O+). The pH is proportional to the chemical potential of hydrogen, by the relation: pH = -µH ÷ 2.3RT. (with µH=-RTln[H+]).
src_code:NR
Negative logarithm (base 10) of the activity of hydroxyde in a solution. In a diluted solution, this activity is equal to the concentration of ions HO-.
sbo
SBO:0000305
Created on February 3 2007 by Nicolas Le Novere.
pOH
Negative logarithm (base 10) of the activity of hydroxyde in a solution. In a diluted solution, this activity is equal to the concentration of ions HO-.
src_code:NR
negative logarithm (base 10) of a dissociation constant.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000282">K</ci></bvar>
<apply>
<minus/>
<apply>
<log/>
<ci>K</ci>
</apply>
</apply>
</lambda>
</math>
sbo
dissociation potential
SBO:0000306
Created on February 3 2007 by Nicolas Le Novere on a suggestion of Martin Golebiewski.
pK
negative logarithm (base 10) of a dissociation constant.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000282">K</ci></bvar>
<apply>
<minus/>
<apply>
<log/>
<ci>K</ci>
</apply>
</apply>
</lambda>
</math>
src_code:NR
negative logarithm (base 10) of an acid dissociation constant.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000283">Ka</ci></bvar>
<apply>
<minus/>
<apply>
<log/>
<ci>Ka</ci>
</apply>
</apply>
</lambda>
</math>
sbo
potential of acid
SBO:0000307
Created on February 3 2007 by Nicolas Le Novere.
pKa
negative logarithm (base 10) of an acid dissociation constant.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000283">Ka</ci></bvar>
<apply>
<minus/>
<apply>
<log/>
<ci>Ka</ci>
</apply>
</apply>
</lambda>
</math>
src_code:NR
Quantitative parameter that characterises a biochemical equilibrium.
sbo
SBO:0000308
Created on February 3 2007 by Nicolas Le Novere.
equilibrium or steady-state characteristic
Quantitative parameter that characterises a biochemical equilibrium.
src_code:NR
Quantitative parameter that characterises a dissociation.
sbo
SBO:0000309
Created on February 3 2007 by Nicolas Le Novere
dissociation characteristic
Quantitative parameter that characterises a dissociation.
src_code:NR
Quantitative parameter that characterises an acid-base reaction.
sbo
SBO:0000310
Created on February 3 2007 by Nicolas Le Novere.
acid dissociation characteristic
Quantitative parameter that characterises an acid-base reaction.
src_code:NR
Incompletely processed single strand of messenger ribonucleic acid (mRNA), synthesized from a DNA template in the nucleus of a cell by transcription and containing copies of the introns and exons of a gene.
sbo
Precursor mRNA
pre-mRNA
SBO:0000311
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
heterogeneous nuclear RNA
Incompletely processed single strand of messenger ribonucleic acid (mRNA), synthesized from a DNA template in the nucleus of a cell by transcription and containing copies of the introns and exons of a gene.
src_code:NR
Completely processed single strand of messenger ribonucleic acid (mRNA), synthesized from a DNA template in the nucleus of a cell by transcription and containing copies of only the exons of a gene.
sbo
SBO:0000312
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
mature messenger RNA
Completely processed single strand of messenger ribonucleic acid (mRNA), synthesized from a DNA template in the nucleus of a cell by transcription and containing copies of only the exons of a gene.
src_code:NR
Small RNA chain (73-93 nucleotides) that transfers a specific amino acid to a growing polypeptide chain at the ribosomal site of protein synthesis during translation. It has a site for amino acid attachment and a three-base region called the anticodon that recognizes the corresponding three-base codon region on mRNA via complementary base pairing. Each type of tRNA molecule can be attached to only one type of amino acid, but because the genetic code is degenerate - that is, it contains multiple codons that specify the same amino acid - multiple types of tRNA molecules bearing different anticodons may carry the same amino acid.
sbo
tRNA
SBO:0000313
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
transfer RNA
Small RNA chain (73-93 nucleotides) that transfers a specific amino acid to a growing polypeptide chain at the ribosomal site of protein synthesis during translation. It has a site for amino acid attachment and a three-base region called the anticodon that recognizes the corresponding three-base codon region on mRNA via complementary base pairing. Each type of tRNA molecule can be attached to only one type of amino acid, but because the genetic code is degenerate - that is, it contains multiple codons that specify the same amino acid - multiple types of tRNA molecules bearing different anticodons may carry the same amino acid.
src_code:NR
Type of RNA that is the central component of the ribosome, the protein manufacturing machinery of all living cells.
sbo
rRNA
SBO:0000314
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
ribosomal RNA
Type of RNA that is the central component of the ribosome, the protein manufacturing machinery of all living cells.
src_code:NR
RNA molecule that catalyzes a chemical reaction.
sbo
ribonucleic acid enzyme
SBO:0000315
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
ribozyme
RNA molecule that catalyzes a chemical reaction.
src_code:NR
Single-stranded RNA molecules thought to regulate the expression of other genes. miRNAs are encoded by genes that are transcribed from DNA but not translated into protein (non-coding RNA).
sbo
miRNA
SBO:0000316
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
microRNA
Single-stranded RNA molecules thought to regulate the expression of other genes. miRNAs are encoded by genes that are transcribed from DNA but not translated into protein (non-coding RNA).
src_code:NR
siRNA are 20-25 nucleotide-long double-stranded RNA molecules involved in the regulation of the expression of specific genes, antiviral mechanisms, shaping the chromatin structure of a genome etc.
sbo
siRNA
SBO:0000317
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
small interfering RNA
siRNA are 20-25 nucleotide-long double-stranded RNA molecules involved in the regulation of the expression of specific genes, antiviral mechanisms, shaping the chromatin structure of a genome etc.
src_code:NR
Small RNA molecules that are found within the nucleus of eukaryotic cells. They are involved in a variety of important processes such as RNA splicing (removal of introns from heterogeneous nuclear RNA), regulation of transcription factors or RNA polymerase II and maintaining the telomeres. They are always associated with specific proteins, and the complexes are referred to as small nuclear ribonucleoproteins (snRNP).
sbo
snRNA
SBO:0000318
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
small nuclear RNA
Small RNA molecules that are found within the nucleus of eukaryotic cells. They are involved in a variety of important processes such as RNA splicing (removal of introns from heterogeneous nuclear RNA), regulation of transcription factors or RNA polymerase II and maintaining the telomeres. They are always associated with specific proteins, and the complexes are referred to as small nuclear ribonucleoproteins (snRNP).
src_code:NR
Small RNA molecules that guide chemical modifications (methylation or pseudouridylation) of ribosomal RNAs (rRNAs) and other RNA genes. They are frequently encoded in the introns of ribosomal proteins and are synthesized by RNA polymerase II, but can also be transcribed as independent (sometimes polycistronic) transcriptional units. snoRNAs are a component in the small nucleolar ribonucleoprotein (snoRNP), which contains snoRNA and proteins.
sbo
snoRNA
SBO:0000319
Created on March 12 2007 by Nicolas Le Novere with help from Laure Gambardella
small nucleolar RNA
Small RNA molecules that guide chemical modifications (methylation or pseudouridylation) of ribosomal RNAs (rRNAs) and other RNA genes. They are frequently encoded in the introns of ribosomal proteins and are synthesized by RNA polymerase II, but can also be transcribed as independent (sometimes polycistronic) transcriptional units. snoRNAs are a component in the small nucleolar ribonucleoprotein (snoRNP), which contains snoRNA and proteins.
src_code:NR
Numerical parameter that quantifies the velocity of product creation by a reversible enzymatic reaction.
sbo
kcatp
SBO:0000320
Created on March 11 2007 by Nicolas Le Novere
product catalytic rate constant
Numerical parameter that quantifies the velocity of product creation by a reversible enzymatic reaction.
src_code:NR
Numerical parameter that quantifies the velocity of substrate creation by a reversible enzymatic reaction.
sbo
kcats
SBO:0000321
Created on March 11 2007 by Nicolas Le Novere.
substrate catalytic rate constant
Numerical parameter that quantifies the velocity of substrate creation by a reversible enzymatic reaction.
src_code:NR
Substrate concentration at which the velocity of product production by the forward activity of a reversible enzyme is half its maximum.
sbo
Kms
SBO:0000322
Created on March 11 2007 by Nicolas Le Novere
Michaelis constant for substrate
Substrate concentration at which the velocity of product production by the forward activity of a reversible enzyme is half its maximum.
src_code:NR
Product concentration at which the velocity of substrate production by the reverse activity of a reversible enzyme is half its maximum.
sbo
Kmp
SBO:0000323
Created on March 11 2007 by Nicolas Le Novere
Michaelis constant for product
Product concentration at which the velocity of substrate production by the reverse activity of a reversible enzyme is half its maximum.
src_code:NR
Limiting maximal velocity of the forward reaction of a reversible enzyme, reached when the substrate is in large excess and all the enzyme is complexed.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000320">kcatp</ci></bvar>
<apply>
<times/>
<ci>Et</ci>
<ci>kcatp</ci>
</apply>
</lambda>
</math>
sbo
Vmaxf
SBO:0000324
The symbol Vmax and the names maximum rate and maximum velocity are in widespread use although under normal circumstances there is no finite substrate concentration at which v = V and hence no maximum in the mathematical sense (Eur. J. Biochem. 128:281-291).
forward maximal velocity
Limiting maximal velocity of the forward reaction of a reversible enzyme, reached when the substrate is in large excess and all the enzyme is complexed.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000320">kcatp</ci></bvar>
<apply>
<times/>
<ci>Et</ci>
<ci>kcatp</ci>
</apply>
</lambda>
</math>
src_code:NR
Limiting maximal velocity of the reverse reaction of a reversible enzyme, reached when the product is in large excess and all the enzyme is complexed.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000321">kcats</ci></bvar>
<apply>
<times/>
<ci>Et</ci>
<ci>kcats</ci>
</apply>
</lambda>
</math>
sbo
Vmaxr
SBO:0000325
The symbol Vmax and the names maximum rate and maximum velocity are in widespread use although under normal circumstances there is no finite substrate concentration at which v = V and hence no maximum in the mathematical sense (Eur. J. Biochem. 128:281-291).
reverse maximal velocity
Limiting maximal velocity of the reverse reaction of a reversible enzyme, reached when the product is in large excess and all the enzyme is complexed.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000321">kcats</ci></bvar>
<apply>
<times/>
<ci>Et</ci>
<ci>kcats</ci>
</apply>
</lambda>
</math>
src_code:NR
Kinetics of enzymes that react only with one substance, their substrate, and are not modulated by other compounds.
sbo
SBO:0000326
enzymatic rate law for non-modulated unireactant enzymes
Kinetics of enzymes that react only with one substance, their substrate, and are not modulated by other compounds.
src_code:NR
Chemical entity having a net electric charge.
sbo
SBO:0000327
Created on March 18 2007 by Nicolas Le Novere
non-macromolecular ion
Chemical entity having a net electric charge.
src_code:NR
chemical entity possessing an unpaired electron.
sbo
SBO:0000328
Created on March 18 2007 by Nicolas Le Novere.
non-macromolecular radical
chemical entity possessing an unpaired electron.
src_code:NR
First nucleotide of a gene that is copied in the transcribed RNA.
Sequence Ontology SO:0000315
sbo
TSS
SBO:0000329
Created on September 28 2007 by Nicolas Le Novere.
transcription start site
First nucleotide of a gene that is copied in the transcribed RNA.
Sequence Ontology SO:0000315
src_code:NR
Removal of a phosphate group (-H2PO4) from a chemical entity.
sbo
SBO:0000330
dephosphorylation
Removal of a phosphate group (-H2PO4) from a chemical entity.
src_code:NR
Time interval over which a quantified entity is reduced to half its original value.
sbo
SBO:0000331
half-life
Time interval over which a quantified entity is reduced to half its original value.
src_code:NR
Time taken by a quantity decreasing according to a mono-exponential decay to be divided by two. Sometimes called t1/2.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000356">l</ci></bvar>
<apply>
<divide/>
<apply>
<ln/>
<cn type="integer">2</cn>
</apply>
<ci>l</ci>
</apply>
</lambda>
</math>
sbo
SBO:0000332
half-life of an exponential decay
Time taken by a quantity decreasing according to a mono-exponential decay to be divided by two. Sometimes called t1/2.<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000356">l</ci></bvar>
<apply>
<divide/>
<apply>
<ln/>
<cn type="integer">2</cn>
</apply>
<ci>l</ci>
</apply>
</lambda>
</math>
src_code:NR
Monotonic decrease of a quantity proportionally to its value.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000332">l</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<divide/>
<ci>R</ci>
<ci>l</ci>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000333
monoexponential decay rate law
Monotonic decrease of a quantity proportionally to its value.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000332">l</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000509">R</ci></bvar>
<apply>
<divide/>
<ci>R</ci>
<ci>l</ci>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
RNA molecule that is not translated into a protein.
Sequence Ontology SO:0000655
sbo
SBO:0000334
Created on 03 January 2008 by Nicolas Le Novere
non-coding RNA
RNA molecule that is not translated into a protein.
Sequence Ontology SO:0000655
src_code:NR
Portion of DNA or RNA that is transcribed into another RNA, such as a messenger RNA or a non-coding RNA (for instance a transfert RNA or a ribosomal RNA).
sbo
SBO:0000335
Created on January 03 2008 by Nicolas Le Novere
gene coding region
Portion of DNA or RNA that is transcribed into another RNA, such as a messenger RNA or a non-coding RNA (for instance a transfert RNA or a ribosomal RNA).
src_code:NR
Entity participating in a physical or functional interaction.
sbo
SBO:0000336
Created on January 31 2008 on the suggestion of Samuel Kerrien.
interactor
Entity participating in a physical or functional interaction.
src_code:NR
Equilibrium constant that measures the propensity of two objects to assemble (associate) reversibly into a larger component. The association constant is usually denoted Ka and is the inverse of the dissociation constant. <math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000338">koff</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000341">Kon</ci></bvar>
<apply>
<divide/>
<ci>kon</ci>
<ci>Koff</ci>
</apply>
</lambda>
</math>
sbo
Ka
affinity constant
SBO:0000337
Created on February 26 2008 by Nicolas Le Novere on the request of Samuel Kerrien.
association constant
Equilibrium constant that measures the propensity of two objects to assemble (associate) reversibly into a larger component. The association constant is usually denoted Ka and is the inverse of the dissociation constant. <math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000338">koff</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000341">Kon</ci></bvar>
<apply>
<divide/>
<ci>kon</ci>
<ci>Koff</ci>
</apply>
</lambda>
</math>
src_code:NR
Rate with which a complex dissociates into its components.
sbo
kd
SBO:0000338
Created on February 26 2008 by Nicolas Le Novere on the request of Samuel Kerrien.
dissociation rate constant
Rate with which a complex dissociates into its components.
src_code:NR
Rate with which two components associate into a complex.
sbo
SBO:0000339
Created on February 26 2008 by Nicolas Le Novere on the request of Samuel Kerrien.
bimolecular association rate constant
Rate with which two components associate into a complex.
src_code:NR
Rate with which three components associate into a complex.
sbo
SBO:0000340
created on February 26 2008 by Nicolas Le Novere on the suggestion of Samuel Kerrien.
trimolecular association rate constant
Rate with which three components associate into a complex.
src_code:NR
Rate with which components associate into a complex.
sbo
SBO:0000341
Created on February 26 2008 by Nicolas Le Novere on the suggestion of Samuel Kerrien.
association rate constant
Rate with which components associate into a complex.
src_code:NR
Mutual or reciprocal action or influence between molecular entities.
sbo
SBO:0000342
Created on February 16 2008 byt Nicolas Le Novere on the suggestion of Samuel Kerrien.
molecular or genetic interaction
Mutual or reciprocal action or influence between molecular entities.
src_code:NR
A phenomenon whereby an observed phenotype, qualitative or quantative, is not explainable by the simple additive effects of the individual gene pertubations alone. Genetic interaction between perturbed genes is usually expected to generate a 'defective' phenotype. The level of defectiveness is often used to sub-classify this phenomenon.
sbo
SBO:0000343
http://en.wikipedia.org/wiki/Genetic_interaction
SBO:0000499 'genetic interaction' deprecated.
genetic interaction
A phenomenon whereby an observed phenotype, qualitative or quantative, is not explainable by the simple additive effects of the individual gene pertubations alone. Genetic interaction between perturbed genes is usually expected to generate a 'defective' phenotype. The level of defectiveness is often used to sub-classify this phenomenon.
src_code:NR
Relationship between molecular entities, based on contacts, direct or indirect.
sbo
SBO:0000344
Created on February 26 2008 by Nicolas Le Novere on the suggestion of Samuel Kerrien.
molecular interaction
Relationship between molecular entities, based on contacts, direct or indirect.
src_code:NR
Fundmental quantity of the measuring system used to sequence events, to compare the durations of events and the intervals between them, and to quantify the motions or the transformation of entities. The SI base unit for time is the SI second. The second is the duration of
9,192,631,770 periods of the radiation corresponding to the transition
between the two hyperfine levels of the ground state of the caesium 133
atom.
sbo
SBO:0000345
Created on February 28 2008 by Nicolas Le Novere on the suggestion of Martin Golebievski
time
true
Fundmental quantity of the measuring system used to sequence events, to compare the durations of events and the intervals between them, and to quantify the motions or the transformation of entities. The SI base unit for time is the SI second. The second is the duration of
9,192,631,770 periods of the radiation corresponding to the transition
between the two hyperfine levels of the ground state of the caesium 133
atom.
src_code:NR
Fundamental quantity of the measuring system used to sequence events, to compare the durations of events and the intervals between them, and to quantify the motions or the transformation of entities. The SI base unit for time is the SI second. The second is the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom.
sbo
SBO:0000346
temporal measure
Fundamental quantity of the measuring system used to sequence events, to compare the durations of events and the intervals between them, and to quantify the motions or the transformation of entities. The SI base unit for time is the SI second. The second is the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom.
src_code:NR
Amount of time during which an event persists.
sbo
SBO:0000347
duration
Amount of time during which an event persists.
src_code:NR
Time that it takes for an exponential decay to reach 1/e (about 37%) of the original value. This characterises the frequency response of a first-order, linear time-invariant system. This is also the average lifetime of an element in the decaying set. It is the inverse of the exponential decay constant. <math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000356">l</ci></bvar>
<apply>
<divide/>
<cn type="integer">1</cn>
<ci>l</ci>
</apply>
</lambda>
</math>
sbo
mean lifetime
SBO:0000348
exponential time constant
Time that it takes for an exponential decay to reach 1/e (about 37%) of the original value. This characterises the frequency response of a first-order, linear time-invariant system. This is also the average lifetime of an element in the decaying set. It is the inverse of the exponential decay constant. <math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000356">l</ci></bvar>
<apply>
<divide/>
<cn type="integer">1</cn>
<ci>l</ci>
</apply>
</lambda>
</math>
src_code:NR
Kinetic constant describing the rate of an irreversible enzyme inactivation
by decay of the active enzyme into its inactive form.
sbo
kinact
SBO:0000349
Created on February 29 2008 by Nicolas Le Novere on the request of Martin Golebvieski
inactivation rate constant
Kinetic constant describing the rate of an irreversible enzyme inactivation
by decay of the active enzyme into its inactive form.
src_code:NR
The speed of an enzymatic reaction at a defined concentration of substrate(s) and enzyme.
sbo
SBO:0000350
created by Nick Juty on March 28th 2008 on request of Martin Golebvieski
forward reaction velocity
The speed of an enzymatic reaction at a defined concentration of substrate(s) and enzyme.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000352
Created by Nick Juty 28th March 2008
reverse zeroth order rate constant
Numerical parameter that quantifies the reverse velocity of a chemical reaction independant of the reactant quantities. This parameter encompasses all the contributions to the velocity. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
The speed of an enzymatic reaction at a defined concentration of substrate(s) and enzyme.
sbo
SBO:0000353
Created by Nick Juty 28th March 2008
reverse reaction velocity
The speed of an enzymatic reaction at a defined concentration of substrate(s) and enzyme.
src_code:NR
Fragment of a macromolecule that carries genetic information.
sbo
SBO:0000354
Created by Nicolas Le Novere on April 23 2008 on the suggestion of SBGN forum
informational molecule segment
Fragment of a macromolecule that carries genetic information.
src_code:NR
Mathematical expression stating that a quantity is conserved in a system, whatever happens within the boundaries of that system.
sbo
SBO:0000355
Created on April 25 by Nicolas Le Novere, on the demand of SBML forum
conservation law
Mathematical expression stating that a quantity is conserved in a system, whatever happens within the boundaries of that system.
src_code:NR
Kinetic constant characterising a mono-exponential decay. It is the inverse of the mean lifetime of the continuant being decayed. Its unit is "per time". <math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000348">t</ci></bvar>
<apply>
<divide/>
<cn type="integer">1</cn>
<ci>t</ci>
</apply>
</lambda>
</math>
sbo
SBO:0000356
Created on April 29 2008 by Nicolas Le Novere
decay constant
Kinetic constant characterising a mono-exponential decay. It is the inverse of the mean lifetime of the continuant being decayed. Its unit is "per time". <math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000348">t</ci></bvar>
<apply>
<divide/>
<cn type="integer">1</cn>
<ci>t</ci>
</apply>
</lambda>
</math>
src_code:NR
Biochemical networks can be affected by external influences. Those influences can be well-defined physical perturbations, such as a light pulse, or a change in temperature but also more complex of not well defined phenomena, for instance a biological process, an experimental setup, or a mutation.
sbo
SBO:0000357
Created on May 07 2008 by Nicolas Le Novere for SBGN needs.
biological effect of a perturbation
Biochemical networks can be affected by external influences. Those influences can be well-defined physical perturbations, such as a light pulse, or a change in temperature but also more complex of not well defined phenomena, for instance a biological process, an experimental setup, or a mutation.
src_code:NR
A biochemical network can generate phenotypes or affects biological processes. Such processes can take place at different levels and are independent of the biochemical network itself.
sbo
SBO:0000358
Potentially obsolete....use with caution
phenotype
A biochemical network can generate phenotypes or affects biological processes. Such processes can take place at different levels and are independent of the biochemical network itself.
src_code:NR
A chemical moiety that exists under different forms but is not created nor destroyed in a biochemical system. In any given system such a conserved moiety is characterized by a finite number of particles that exist in the system and is invariant.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000002">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000157">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000360">S</ci></bvar>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 0 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<times/>
<apply>
<selector/>
<ci type="vector">a</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">S</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</lambda>
</math>
sbo
SBO:0000359
Created on May 9th 2008 by Nicolas Le Novere on the suggestion of Pedro Mendes and Stefan Hoops.
mass conservation law
A chemical moiety that exists under different forms but is not created nor destroyed in a biochemical system. In any given system such a conserved moiety is characterized by a finite number of particles that exist in the system and is invariant.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000002">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000157">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000360">S</ci></bvar>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 0 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<times/>
<apply>
<selector/>
<ci type="vector">a</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">S</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</lambda>
</math>
src_code:NR
The enumeration of co-localised, identical biochemical entities of a specific state, which constitute a pool. The form of enumeration may be purely numerical, or may be given in relation to another dimension such as length or volume.
sbo
SBO:0000360
quantity of an entity pool
The enumeration of co-localised, identical biochemical entities of a specific state, which constitute a pool. The form of enumeration may be purely numerical, or may be given in relation to another dimension such as length or volume.
src_code:NR
A numerical measure of the quantity, or of some property, of the entities that constitute the entity pool.
sbo
SBO:0000361
amount of an entity pool
A numerical measure of the quantity, or of some property, of the entities that constitute the entity pool.
src_code:NR
If all forms of a moiety exist in a single compartment and the size of that compartment is fixed then the Mass Conservation is also a Concentration Conservation.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000002">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000157">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000196">S</ci></bvar>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 0 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<times/>
<apply>
<selector/>
<ci type="vector">a</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">S</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</lambda>
</math>
sbo
SBO:0000362
Created on May 9th 2008 by Nicolas Le Novere on the suggestion of Stefan Hoops
concentration conservation law
If all forms of a moiety exist in a single compartment and the size of that compartment is fixed then the Mass Conservation is also a Concentration Conservation.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000002">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000157">n</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000196">S</ci></bvar>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 0 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<times/>
<apply>
<selector/>
<ci type="vector">a</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">S</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</lambda>
</math>
src_code:NR
Dissociation constant of a potentiator (activator) from a target (e.g. an
enzyme) of which it activates the function.
sbo
Kx
SBO:0000363
Created 20th May 2008 by Nick Juty on the request of Martin Golebiewski.
activation constant
Dissociation constant of a potentiator (activator) from a target (e.g. an
enzyme) of which it activates the function.
src_code:NR
Number of monomers composing a multimeric entity.
sbo
SBO:0000364
Created on May 23 by Nicolas Le Novere for SBGN need.
multimer cardinality
Number of monomers composing a multimeric entity.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction where reactants have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000365
created 4th June 2008 - Nick Juty
forward non-integral order rate constant, continuous case
Numerical parameter that quantifies the forward velocity of a chemical reaction where reactants have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the reactants.It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Numerical parameter that quantifies the forward velocity of a chemical reaction where reactants have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a discrete framework.
sbo
SBO:0000366
created 4th June 2008 - Nick Juty
forward non-integral order rate constant, discrete case
Numerical parameter that quantifies the forward velocity of a chemical reaction where reactants have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the reactants. It is to be used in a reaction modelled using a discrete framework.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction where products have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the products. It is to be used in a reaction modelled using a discrete framework.
sbo
SBO:0000367
created 4th June 2008 - Nick Juty
reverse non-integral order rate constant, discrete case
Numerical parameter that quantifies the reverse velocity of a chemical reaction where products have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the products. It is to be used in a reaction modelled using a discrete framework.
src_code:NR
Numerical parameter that quantifies the reverse velocity of a chemical reaction where products have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the products. It is to be used in a reaction modelled using a continuous framework.
sbo
SBO:0000368
created 4th June 2008 - Nick Juty
reverse non-integral order rate constant, continuous case
Numerical parameter that quantifies the reverse velocity of a chemical reaction where products have non-integral orders. This parameter encompasses all the contributions to the velocity except the quantity of the products. It is to be used in a reaction modelled using a continuous framework.
src_code:NR
Region of a gene that is involved in the modulation of the expression of the gene.
sbo
SBO:0000369
Created for SBGN purposes.
gene regulatory region
Region of a gene that is involved in the modulation of the expression of the gene.
src_code:NR
Michaelis constant derived or experimentally measured under non-equilibrium conditions.
sbo
SBO:0000370
Created 11th July 2008 by Nick Juty (with Lukas Endler and Nicolas Le Novere)
Michaelis constant in non-equilibrium situation
Michaelis constant derived or experimentally measured under non-equilibrium conditions.
src_code:NR
Michaelis constant derived using a steady-state assumption for enzyme-substrate and enzyme-product intermediates. For example see Briggs-Haldane equation (SBO:0000031).
sbo
SBO:0000371
Created 11th July 2008 by Nick Juty (with Lukas Endler and Nicolas Le Novere)
Michaelis constant in quasi-steady state situation
Michaelis constant derived using a steady-state assumption for enzyme-substrate and enzyme-product intermediates. For example see Briggs-Haldane equation (SBO:0000031).
src_code:NR
Michaelis constant derived assuming enzyme-substrate and enzyme-product intermediates are formed in consecutive irreversible reactions. The constant K is the ratio of the forward rate constants. For example see Van Slyke-Cullen equation (SBO:0000030).
sbo
SBO:0000372
Created 11th July 2008 by Nick Juty (with Lukas Endler and Nicolas Le Novere)
Michaelis constant in irreversible situation
Michaelis constant derived assuming enzyme-substrate and enzyme-product intermediates are formed in consecutive irreversible reactions. The constant K is the ratio of the forward rate constants. For example see Van Slyke-Cullen equation (SBO:0000030).
src_code:NR
Michaelis constant as determined in a reaction where the formation of the enzyme-substrate complex occurs at a much faster rate than subsequent steps, and so are assumed to be in a quasi-equilibrium situation. K is equivalent to an equilibrium constant. For example see Henri-Michaelis-Menten equation (SBO:0000029).
sbo
SBO:0000373
Modified for clarification [SF req #2969519]
Michaelis constant in fast equilibrium situation
Michaelis constant as determined in a reaction where the formation of the enzyme-substrate complex occurs at a much faster rate than subsequent steps, and so are assumed to be in a quasi-equilibrium situation. K is equivalent to an equilibrium constant. For example see Henri-Michaelis-Menten equation (SBO:0000029).
src_code:NR
connectedness between entities and/or interactions representing their relatedness or influence.
sbo
SBO:0000374
Name and definition changed on November 18 2008 by Nicolas Le Novere
relationship
connectedness between entities and/or interactions representing their relatedness or influence.
src_code:NR
A sequential series of actions, motions, or occurrences, such as chemical reactions, that affect one or more entities in a phenomenologically characteristic manner.
sbo
SBO:0000375
definition modified 21/10/08 - NJ
name and definition modified 18/Nov/2008 - Nicolas Le Novere
process
A sequential series of actions, motions, or occurrences, such as chemical reactions, that affect one or more entities in a phenomenologically characteristic manner.
src_code:NR
Decomposition of a compound by reaction with water, where the hydroxyl and H groups are incorporated into different products
sbo
SBO:0000376
Created 30/9/08 - NJ
hydrolysis
Decomposition of a compound by reaction with water, where the hydroxyl and H groups are incorporated into different products
src_code:NR
A reaction in which the principal reactant and principal product are isomers of each other
sbo
SBO:0000377
Created 30/9/08 - NJ
isomerisation
A reaction in which the principal reactant and principal product are isomers of each other
src_code:NR
Inhibition of a unireactant enzyme by competing substrates (Sa) that bind to the free enzyme on the same binding site. The enzyme does not catalyse the reactions in both directions.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">Sa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ksa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">Sa</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ksa</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000378
See Cornish-Bowden Fundementals of Enzyme Kinetics (3rd Edition 2004): Ch5.6, pp127.
enzymatic rate law for inhibition of irreversible unireactant enzymes by competing substrates
Inhibition of a unireactant enzyme by competing substrates (Sa) that bind to the free enzyme on the same binding site. The enzyme does not catalyse the reactions in both directions.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">Sa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ksa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<sum/>
<bvar><ci> i </ci></bvar>
<lowlimit><cn type="integer"> 1 </cn></lowlimit>
<uplimit><ci> n </ci></uplimit>
<apply>
<divide/>
<apply>
<selector/>
<ci type="vector">Sa</ci>
<ci> i </ci>
</apply>
<apply>
<selector/>
<ci type="vector">Ksa</ci>
<ci> i </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of a unireactant enzyme by two inhibitors that can bind once to the free enzyme and preclude the binding of the substrate. Binding of one inhibitor may affect binding of the other, or not. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000383">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>I1</ci>
<ci>I2</ci>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Ki1</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000379
See Segel I., Enzyme Kinetics, Wiley-Interscience;1993, ISBN 0-471-30309-7, Chapter 8, System B3, pp481.
enzymatic rate law for simple competitive inhibition of irreversible unireactant enzymes by two non-exclusive inhibitors
Inhibition of a unireactant enzyme by two inhibitors that can bind once to the free enzyme and preclude the binding of the substrate. Binding of one inhibitor may affect binding of the other, or not. The enzymes do not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000521">I2</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000383">a</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki1</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Ki2</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>I1</ci>
<ci>Ki1</ci>
</apply>
<apply>
<divide/>
<ci>I2</ci>
<ci>Ki2</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>I1</ci>
<ci>I2</ci>
</apply>
<apply>
<times/>
<ci>a</ci>
<ci>Ki1</ci>
<ci>Ki2</ci>
</apply>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
number used as a multiplicative or exponential factor for quantities, expressions or functions
sbo
SBO:0000380
created by Lukas Endler and Nick Juty 17/9/08
biochemical coefficient
number used as a multiplicative or exponential factor for quantities, expressions or functions
src_code:NR
A multiplicative factor for quantities, expressions or functions
sbo
SBO:0000381
created by Nick Juty and Lukas Endler - 17/9/08
biochemical proportionality coefficient
A multiplicative factor for quantities, expressions or functions
src_code:NR
number used as an exponential factor for quantities, expressions or functions
sbo
SBO:0000382
created by Lukas Endler and Nick Juty - 17/9/08
biochemical exponential coefficient
number used as an exponential factor for quantities, expressions or functions
src_code:NR
The coefficient used to quantify the effect on inhibition constants of multiple inhibitors binding non-exclusively to the enzyme.
sbo
SBO:0000383
Created by Lukas Endler and Nick Juty - 18/9/08
biochemical cooperative inhibition coefficient
The coefficient used to quantify the effect on inhibition constants of multiple inhibitors binding non-exclusively to the enzyme.
src_code:NR
Coefficient that quantifies the effect on inhibition constants of either binding of multiple substrates or inhibitors.
sbo
SBO:0000384
Created by Lukas Endler and Nick Juty - 18/9/08
biochemical inhibitory proportionality coefficient
Coefficient that quantifies the effect on inhibition constants of either binding of multiple substrates or inhibitors.
src_code:NR
The coefficient that describes the proportional change of Ks or Ki when inhibitor or substrate is bound, respectively, to the enzyme.
sbo
SBO:0000385
Created by Nick Juty and Lukas Endler - 18/9/08.
biochemical cooperative inhibitor substrate coefficient
The coefficient that describes the proportional change of Ks or Ki when inhibitor or substrate is bound, respectively, to the enzyme.
src_code:NR
Inhibition of a unireactant enzyme by a competing substrate (Sa) that binds to the free enzyme on the same binding site. The enzyme does not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">Sa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ksa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>Sa</ci>
<ci>Ksa</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000386
See Cornish-Bowden Fundementals of Enzyme Kinetics (3rd Edition 2004): Ch5.6, pp127.
enzymatic rate law for inhibition of irreversible unireactant enzymes by single competing substrate
Inhibition of a unireactant enzyme by a competing substrate (Sa) that binds to the free enzyme on the same binding site. The enzyme does not catalyse the reactions in both directions.<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">Sa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ksa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>Sa</ci>
<ci>Ksa</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of a unireactant enzyme by a competing product (P) that binds to the free enzyme on the same binding site. The enzyme does not catalyse the reactions in both directions.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Kp</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>P</ci>
<ci>Kp</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000387
See Cornish-Bowden Fundementals of Enzyme Kinetics (3rd Edition 2004): Ch2.8, pp55
enzymatic rate law for competitive inhibition of irreversible unireactant enzyme by product
Inhibition of a unireactant enzyme by a competing product (P) that binds to the free enzyme on the same binding site. The enzyme does not catalyse the reactions in both directions.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Kp</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>P</ci>
<ci>Kp</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Inhibition of a unireactant enzyme by a competing substrate (Sa) that binds to the free enzyme on the same binding site, and competitive inhibition by a product (P) and an alternative product (Pa). The enzyme does not catalyse the reactions in both directions.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">Sa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ksa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Kp</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Kpa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">Pa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>Sa</ci>
<ci>Ksa</ci>
</apply>
<apply>
<divide/>
<ci>P</ci>
<ci>Kpa</ci>
</apply>
<apply>
<divide/>
<ci>Pa</ci>
<ci>Kpa</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000388
enzymatic rate law for inhibition of irreversible unireactant enzymes by single competing substrate with product inhibition
Inhibition of a unireactant enzyme by a competing substrate (Sa) that binds to the free enzyme on the same binding site, and competitive inhibition by a product (P) and an alternative product (Pa). The enzyme does not catalyse the reactions in both directions.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000025">kcat</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000505">Et</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">S</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">Sa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ks</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000027">Ksa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Kp</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000261">Kpa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">P</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">Pa</ci></bvar>
<bvar><ci definitionURL="http://biomodels.net/SBO/#SBO:0000272">n</ci></bvar>
<apply>
<divide/>
<apply>
<times/>
<ci>kcat</ci>
<ci>Et</ci>
<ci>S</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ks</ci>
<apply>
<plus/>
<cn type="integer">1</cn>
<apply>
<divide/>
<ci>Sa</ci>
<ci>Ksa</ci>
</apply>
<apply>
<divide/>
<ci>P</ci>
<ci>Kpa</ci>
</apply>
<apply>
<divide/>
<ci>Pa</ci>
<ci>Kpa</ci>
</apply>
</apply>
</apply>
<ci>S</ci>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
A parameter value taken by a switch, which has a discrete set of values which can be alternated or switched between.
sbo
SBO:0000389
Created by NJ and LE for BioModels Database - 19/9/08
switch value
A parameter value taken by a switch, which has a discrete set of values which can be alternated or switched between.
src_code:NR
A parameter that has precisely two discrete values which may be switched between. Usually for the boolean parameter these are indicated as '0 or 1' or 'True or False'.
sbo
binary switch
SBO:0000390
Created by NJ and LE for Biomodels database - 19/9/08.
boolean switch
A parameter that has precisely two discrete values which may be switched between. Usually for the boolean parameter these are indicated as '0 or 1' or 'True or False'.
src_code:NR
A mathematical expression that describes a steady state situation
sbo
SBO:0000391
binding or interaction equilibria
branch to hold mathematical expressions for equilibrium thermodynamics, electrochemical, binding, solution equilibria, complexes....
steady state expression
A mathematical expression that describes a steady state situation
src_code:NR
Term to signify those material or conceptual entities that are identical in some respect within a frame of reference
sbo
SBO:0000392
created 20/10/08 - NJ and LE
created for SBGN (equivalence arc - 2.6.9)
equivalence
Term to signify those material or conceptual entities that are identical in some respect within a frame of reference
src_code:NR
Generation of a material or conceptual entity.
sbo
SBO:0000393
created 20/10/08 - LE and NJ
created for SBGN (production - 2.6.2)
production
Generation of a material or conceptual entity.
src_code:NR
Decrease in amount of a material or conceptual entity.
sbo
SBO:0000394
created 20/10/08 - LE and NJ
created for SBGN (consumption - 2.6.1)
consumption
Decrease in amount of a material or conceptual entity.
src_code:NR
An aggregation of interactions and entities into a single process.
sbo
SBO:0000395
created 20/10/08 - LE and NJ
created for SBGN PD (submap - 2.4.3)
Name and definition changed on November 18 2008 by Nicolas Le Novere
encapsulating process
An aggregation of interactions and entities into a single process.
src_code:NR
An equivocal or conjectural process, whose existence is assumed but not proven.
sbo
SBO:0000396
created 20/10/08 - NJ and LE
created for SBGN (uncertain process - 2.5.3)
uncertain process
An equivocal or conjectural process, whose existence is assumed but not proven.
src_code:NR
One or more processes that are not represented in certain representations or interpretations of a model.
sbo
SBO:0000397
created 20/10/08 - LE and NJ
created for SBGN (omitted process - 2.5.2)
omitted process
One or more processes that are not represented in certain representations or interpretations of a model.
src_code:NR
Relationship between entities (material or conceptual) and logical operators, or between logical operators themselves.
sbo
SBO:0000398
created 20/10/08 - LE and NJ.
created for SBGN purposes (logical arc - 2.6.8)
logical relationship
Relationship between entities (material or conceptual) and logical operators, or between logical operators themselves.
src_code:NR
A process in which a carboxyl group (COOH) is removed from a molecule as carbon dioxide.
sbo
SBO:0000399
created 21/10/08 - NJ
decarboxylation
A process in which a carboxyl group (COOH) is removed from a molecule as carbon dioxide.
src_code:NR
Removal of a carbonyl group (-C-O-) from a molecule, usually as carbon monoxide
sbo
SBO:0000400
created 21/10/08 - NJ
decarbonylation
Removal of a carbonyl group (-C-O-) from a molecule, usually as carbon monoxide
src_code:NR
Removal of an amine group from a molecule, often under the addition of water
sbo
SBO:0000401
deamination
Removal of an amine group from a molecule, often under the addition of water
src_code:NR
Covalent reaction that results in the transfer of a chemical group from one molecule to another.
sbo
SBO:0000402
created 21/10/08
transfer of a chemical group
Covalent reaction that results in the transfer of a chemical group from one molecule to another.
src_code:NR
The transfer of an amino group between two molecules. Commonly in biology this is restricted to reactions between an amino acid and an alpha-keto carbonic acid, whereby the reacting amino acid is converted into an alpha-keto acid, and the alpha-keto acid reactant into an amino acid.
sbo
SBO:0000403
created 21/10/08 - NJ
modified to add more biological detail, to differentiate from alkylamino-de-amination.
transamination
The transfer of an amino group between two molecules. Commonly in biology this is restricted to reactions between an amino acid and an alpha-keto carbonic acid, whereby the reacting amino acid is converted into an alpha-keto acid, and the alpha-keto acid reactant into an amino acid.
src_code:NR
Functional entity associated with or derived from a unit of inheritance.
sbo
SBO:0000404
unit of genetic information
Functional entity associated with or derived from a unit of inheritance.
src_code:NR
A material entity that is responsible for a perturbing effect
sbo
SBO:0000405
perturbing agent
A material entity that is responsible for a perturbing effect
src_code:NR
An entity that can be measured quantitatively
sbo
SBO:0000406
observable
An entity that can be measured quantitatively
src_code:NR
Control that precludes the execution of a process.
sbo
SBO:0000407
Created by Nicolas Le Novere for the needs of SBGN ER.
absolute inhibition
Control that precludes the execution of a process.
src_code:NR
Effect of a biological entity on biological structures or processes.
sbo
SBO:0000408
Added for SBGN activity flow.
biological activity
true
Effect of a biological entity on biological structures or processes.
src_code:NR
Entity that results from the interaction between other entities.
sbo
SBO:0000409
Added for SBGN entity relationships
interaction outcome
Entity that results from the interaction between other entities.
src_code:NR
A compartment whose existence is inferred due to the presence of known material entities which must be bounded, allowing the creation of material entity pools.
sbo
SBO:0000410
Created by Nicolas Le Novere on the demand of Frank Bergmann for SBGN purposes.
implicit compartment
A compartment whose existence is inferred due to the presence of known material entities which must be bounded, allowing the creation of material entity pools.
src_code:NR
Control that always triggers the controlled process.
sbo
SBO:0000411
absolute stimulation
Control that always triggers the controlled process.
src_code:NR
The potential action that a biological entity has on other entities. Example are enzymatic activity, binding activity etc.
sbo
SBO:0000412
Created by Nicolas Le Novere for SBGN purpose
biological activity
The potential action that a biological entity has on other entities. Example are enzymatic activity, binding activity etc.
src_code:NR
The connectedness between entities as related by their position
sbo
SBO:0000413
positional relationship
The connectedness between entities as related by their position
src_code:NR
Positional relationship between entities on the same strand (e.g. in DNA), or on the same side.
sbo
SBO:0000414
cis from the latin for 'same side'
cis
Positional relationship between entities on the same strand (e.g. in DNA), or on the same side.
src_code:NR
Positional relationship between entities on different sides, or strands
sbo
SBO:0000415
From latin 'trans' meaning across, beyond, or through
trans
Positional relationship between entities on different sides, or strands
src_code:NR
One of the two values possible from a boolean switch, which equates to '1', 'on' or 'input'.
sbo
SBO:0000416
true
One of the two values possible from a boolean switch, which equates to '1', 'on' or 'input'.
src_code:NR
One of the two values possible from a boolean switch, which equates to '0', 'off' or 'no input'.
sbo
SBO:0000417
false
One of the two values possible from a boolean switch, which equates to '0', 'off' or 'no input'.
src_code:NR
Non-covalent association between several independant complexes
sbo
SBO:0000418
multimer of complexes
Non-covalent association between several independant complexes
src_code:NR
Non-covalent association between portions of macromolecules that carry genetic information
sbo
SBO:0000419
multimer of informational molecule segment
Non-covalent association between portions of macromolecules that carry genetic information
src_code:NR
Non-covalent association between several macromolecules
sbo
SBO:0000420
multimer of macromolecules
Non-covalent association between several macromolecules
src_code:NR
Non-covalent association between several simple chemicals
sbo
SBO:0000421
multimer of simple chemicals
Non-covalent association between several simple chemicals
src_code:NR
Inhibitory constant for the binding of a given ligand with an isomeric form of an enzyme.
sbo
SBO:0000422
see Segel Enzyme Kinetics (Wiley Classics Library, 1993), chapter 9 pg. 525
isoinhibition constant
Inhibitory constant for the binding of a given ligand with an isomeric form of an enzyme.
src_code:NR
In reversible reactions this is the concentration of product that is required to achieve half activation or inhibition in Hill-type kinetics, in the absence of the substrate.
sbo
SBO:0000423
pseudo-dissociation constant for product
In reversible reactions this is the concentration of product that is required to achieve half activation or inhibition in Hill-type kinetics, in the absence of the substrate.
src_code:NR
In reversible reactions this is the concentration of substrate that is required to achieve half activation or inhibition in Hill-type kinetics, in the absence of the product.
sbo
SBO:0000424
pseudo-dissociation constant for substrate
In reversible reactions this is the concentration of substrate that is required to achieve half activation or inhibition in Hill-type kinetics, in the absence of the product.
src_code:NR
Reversible Hill-type kinetics represents the situation where a single substrate and product bind cooperatively and reversibly to the enzyme. Co-operativity is seen if the Hill coefficient (h) is greater than 1, indicating that the binding of one substrate (or product) molecule facilitates the binding of the next. The opposite effect is evident with a coefficient less than 1.
sbo
SBO:0000425
SF tracker (2912726) - name change to include 'enzymatic'.
reversible Hill-type enzymatic rate law
Reversible Hill-type kinetics represents the situation where a single substrate and product bind cooperatively and reversibly to the enzyme. Co-operativity is seen if the Hill coefficient (h) is greater than 1, indicating that the binding of one substrate (or product) molecule facilitates the binding of the next. The opposite effect is evident with a coefficient less than 1.
src_code:NR
Reversible Hill-type kinetics in the presence of at least one modifier whose binding is affected by the presence of the substrate or product.
sbo
SBO:0000426
modulated reversible Hill-type rate law
Reversible Hill-type kinetics in the presence of at least one modifier whose binding is affected by the presence of the substrate or product.
src_code:NR
The modifier can be either an activator or inhibitor depending on the value of alpha (activator for values larger than 1, inhibitor for values smaller than 1; no effect if exactly 1). This reflects the effect of the presence of substrate and product on the binding of the modifier. The equation, derived by Hofmeyr and Cornish-Bowden (Comput. Appl. Biosci. 13, 377 - 385 (1997) <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000515"> substrate
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000512"> product
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000518"> Modifier
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000281"> Keq
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000324"> Vf
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000424"> Ks
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000423"> Kp
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000190"> h
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000287"> Mhalf
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000381"> alpha
</ci>
</bvar>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> Vf </ci>
<ci> substrate </ci>
</apply>
<ci> Ks </ci>
</apply>
<apply>
<minus/>
<cn> 1 </cn>
<apply>
<divide/>
<ci> product </ci>
<apply>
<times/>
<ci> substrate </ci>
<ci> Keq </ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci> substrate </ci>
<ci> Ks </ci>
</apply>
<apply>
<divide/>
<ci> product </ci>
<ci> Kp </ci>
</apply>
</apply>
<apply>
<minus/>
<ci> h </ci>
<cn> 1 </cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<plus/>
<cn> 1 </cn>
<apply>
<power/>
<apply>
<divide/>
<ci> Modifier </ci>
<ci> Mhalf </ci>
</apply>
<ci> h </ci>
</apply>
</apply>
<apply>
<plus/>
<cn> 1 </cn>
<apply>
<times/>
<ci> alpha </ci>
<apply>
<power/>
<apply>
<divide/>
<ci> Modifier </ci>
<ci> Mhalf </ci>
</apply>
<ci> h </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci> substrate </ci>
<ci> Ks </ci>
</apply>
<apply>
<divide/>
<ci> product </ci>
<ci> Kp </ci>
</apply>
</apply>
<ci> h </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000427
Definition modified from WebCell. The equation was originally derived by Hofmeyr and Cornish-Bowden (Comput. Appl. Biosci. 13, 377 - 385 (1997).
modulated reversible Hill-type rate law with one modifier
The modifier can be either an activator or inhibitor depending on the value of alpha (activator for values larger than 1, inhibitor for values smaller than 1; no effect if exactly 1). This reflects the effect of the presence of substrate and product on the binding of the modifier. The equation, derived by Hofmeyr and Cornish-Bowden (Comput. Appl. Biosci. 13, 377 - 385 (1997) <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000515"> substrate
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000512"> product
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000518"> Modifier
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000281"> Keq
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000324"> Vf
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000424"> Ks
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000423"> Kp
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000190"> h
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000287"> Mhalf
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000381"> alpha
</ci>
</bvar>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> Vf </ci>
<ci> substrate </ci>
</apply>
<ci> Ks </ci>
</apply>
<apply>
<minus/>
<cn> 1 </cn>
<apply>
<divide/>
<ci> product </ci>
<apply>
<times/>
<ci> substrate </ci>
<ci> Keq </ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci> substrate </ci>
<ci> Ks </ci>
</apply>
<apply>
<divide/>
<ci> product </ci>
<ci> Kp </ci>
</apply>
</apply>
<apply>
<minus/>
<ci> h </ci>
<cn> 1 </cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<plus/>
<cn> 1 </cn>
<apply>
<power/>
<apply>
<divide/>
<ci> Modifier </ci>
<ci> Mhalf </ci>
</apply>
<ci> h </ci>
</apply>
</apply>
<apply>
<plus/>
<cn> 1 </cn>
<apply>
<times/>
<ci> alpha </ci>
<apply>
<power/>
<apply>
<divide/>
<ci> Modifier </ci>
<ci> Mhalf </ci>
</apply>
<ci> h </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci> substrate </ci>
<ci> Ks </ci>
</apply>
<apply>
<divide/>
<ci> product </ci>
<ci> Kp </ci>
</apply>
</apply>
<ci> h </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
The modifiers can be either activators or inhibitors depending on the values of and alpha (activators for values larger than 1, inhibitors for values smaller than 1; no effect if exactly 1). The assumption is that the binding of one modifier affects the binding of the second. Modifiers are assumed to bind at different sites. The synergetic effects of the two modifiers depend on the parameter alpha (if unity then they are independent; if zero they compete for the same binding site). and reflect the effect of the presence of substrate and product on the binding of modifier A or modifier B. alphaA and alphaB factors account for the effect of substrate and product binding on the binding of modifier A and modifier B respectively. alphaAB accounts for the interaction of the modifiers on each others binding.
(if < 1 Ma is inhibitor, if > 1 activator)
alpha_2
: factor accounting for the effect of S and P on the binding of Mb
(if < 1 Mb is inhibitor, if > 1 activator)
alpha_3
: factor accounting for interaction of Ma to Mb binding to the enzyme (and v. v.).<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">substrate</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">product</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000518">ModifierA</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000518">ModifierB</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000281">Keq</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000324">Vf</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000424">Shalve</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000423">Phalve</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000190">h</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000287">MAhalf</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000381">alphaA</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000287">MBhalf</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000381">alphaB</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000381">alphaAB</ci>
</bvar>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>Vf</ci>
<ci>substrate</ci>
</apply>
<ci>Ks</ci>
</apply>
<apply>
<minus/>
<cn>1</cn>
<apply>
<divide/>
<ci>product</ci>
<apply>
<times/>
<ci>substrate</ci>
<ci>Keq</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci>substrate</ci>
<ci>Ks</ci>
</apply>
<apply>
<divide/>
<ci>product</ci>
<ci>Kp</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>h</ci>
<cn>1</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<plus/>
<cn>1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierA</ci>
<ci>MAhalf</ci>
</apply>
<ci>h</ci>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierB</ci>
<ci>MBhalf</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<cn>1</cn>
<apply>
<times/>
<ci>alphaA</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierA</ci>
<ci>MAhalf</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>alphaB</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierB</ci>
<ci>MBhalf</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>alphaA</ci>
<ci>alphaB</ci>
<ci>alphaAB</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierA</ci>
<ci>MAhalf</ci>
</apply>
<ci>h</ci>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierB</ci>
<ci>MBhalf</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci>substrate</ci>
<ci>Ks</ci>
</apply>
<apply>
<divide/>
<ci>product</ci>
<ci>Kp</ci>
</apply>
</apply>
<ci>h</ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000428
definition modified from WebCell. Equation originally derived by Hofmeyr and Cornish-Bowden (Comput. Appl. Biosci. 13, 377 - 385 (1997)).
modulated reversible Hill-type rate law with two modifiers
The modifiers can be either activators or inhibitors depending on the values of and alpha (activators for values larger than 1, inhibitors for values smaller than 1; no effect if exactly 1). The assumption is that the binding of one modifier affects the binding of the second. Modifiers are assumed to bind at different sites. The synergetic effects of the two modifiers depend on the parameter alpha (if unity then they are independent; if zero they compete for the same binding site). and reflect the effect of the presence of substrate and product on the binding of modifier A or modifier B. alphaA and alphaB factors account for the effect of substrate and product binding on the binding of modifier A and modifier B respectively. alphaAB accounts for the interaction of the modifiers on each others binding.
(if < 1 Ma is inhibitor, if > 1 activator)
alpha_2
: factor accounting for the effect of S and P on the binding of Mb
(if < 1 Mb is inhibitor, if > 1 activator)
alpha_3
: factor accounting for interaction of Ma to Mb binding to the enzyme (and v. v.).<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000515">substrate</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000512">product</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000518">ModifierA</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000518">ModifierB</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000281">Keq</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000324">Vf</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000424">Shalve</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000423">Phalve</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000190">h</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000287">MAhalf</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000381">alphaA</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000287">MBhalf</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000381">alphaB</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000381">alphaAB</ci>
</bvar>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>Vf</ci>
<ci>substrate</ci>
</apply>
<ci>Ks</ci>
</apply>
<apply>
<minus/>
<cn>1</cn>
<apply>
<divide/>
<ci>product</ci>
<apply>
<times/>
<ci>substrate</ci>
<ci>Keq</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci>substrate</ci>
<ci>Ks</ci>
</apply>
<apply>
<divide/>
<ci>product</ci>
<ci>Kp</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>h</ci>
<cn>1</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<plus/>
<cn>1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierA</ci>
<ci>MAhalf</ci>
</apply>
<ci>h</ci>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierB</ci>
<ci>MBhalf</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<cn>1</cn>
<apply>
<times/>
<ci>alphaA</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierA</ci>
<ci>MAhalf</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>alphaB</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierB</ci>
<ci>MBhalf</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>alphaA</ci>
<ci>alphaB</ci>
<ci>alphaAB</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierA</ci>
<ci>MAhalf</ci>
</apply>
<ci>h</ci>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>ModifierB</ci>
<ci>MBhalf</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci>substrate</ci>
<ci>Ks</ci>
</apply>
<apply>
<divide/>
<ci>product</ci>
<ci>Kp</ci>
</apply>
</apply>
<ci>h</ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Kinetics of enzyme-catalysed reactions with 2 or more substrates or products
sbo
SBO:0000429
enzymatic rate law for multireactant enzymes
Kinetics of enzyme-catalysed reactions with 2 or more substrates or products
src_code:NR
Kinetics of enzymes that react with one substance, and whose activity may be positively or negatively modulated.
sbo
SBO:0000430
enzymatic rate law for modulated unireactant enzymes
Kinetics of enzymes that react with one substance, and whose activity may be positively or negatively modulated.
src_code:NR
Reversible equivalent of Hill kinetics, where substrate and product bind co-operatively to the enzyme. A Hill coefficient (h) of greater than 1 indicates positive co-operativity between substrate and product, while h values below 1 indicate negative co-operativity.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000515"> substrate
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000512"> product
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000281"> Keq
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000324"> Vf
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000424"> Ks
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000423"> Kp
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000190"> h
</ci>
</bvar>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> Vf </ci>
<ci> substrate </ci>
</apply>
<ci> Ks</ci>
</apply>
<apply>
<minus/>
<cn> 1 </cn>
<apply>
<divide/>
<ci> product </ci>
<apply>
<times/>
<ci> substrate </ci>
<ci> Keq </ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci> substrate </ci>
<ci> Ks</ci>
</apply>
<apply>
<divide/>
<ci> product </ci>
<ci> Kp </ci>
</apply>
</apply>
<apply>
<minus/>
<ci> h </ci>
<cn> 1 </cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn> 1 </cn>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci> substrate </ci>
<ci> Ks</ci>
</apply>
<apply>
<divide/>
<ci> product </ci>
<ci> Kp </ci>
</apply>
</apply>
<ci> h </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000431
definition modified from WebCell
unmodulated reversible Hill-type rate law
Reversible equivalent of Hill kinetics, where substrate and product bind co-operatively to the enzyme. A Hill coefficient (h) of greater than 1 indicates positive co-operativity between substrate and product, while h values below 1 indicate negative co-operativity.
<math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000515"> substrate
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000512"> product
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000281"> Keq
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000324"> Vf
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000424"> Ks
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000423"> Kp
</ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000190"> h
</ci>
</bvar>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci> Vf </ci>
<ci> substrate </ci>
</apply>
<ci> Ks</ci>
</apply>
<apply>
<minus/>
<cn> 1 </cn>
<apply>
<divide/>
<ci> product </ci>
<apply>
<times/>
<ci> substrate </ci>
<ci> Keq </ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci> substrate </ci>
<ci> Ks</ci>
</apply>
<apply>
<divide/>
<ci> product </ci>
<ci> Kp </ci>
</apply>
</apply>
<apply>
<minus/>
<ci> h </ci>
<cn> 1 </cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn> 1 </cn>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci> substrate </ci>
<ci> Ks</ci>
</apply>
<apply>
<divide/>
<ci> product </ci>
<ci> Kp </ci>
</apply>
</apply>
<ci> h </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
src_code:NR
Enzymatic rate law for an irreversible reaction involving two substrates and one product. <math xmlns="http://www.w3.org/1998/Math/MathML">
<semantics definitionURL="http://biomodels.net/SBO/#SBO:0000062">
<lambda>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000515"> A </ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000515"> B </ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000322"> KmA </ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000322"> KmB </ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000261"> KiA </ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000505"> Et </ci>
</bvar>
<bvar>
<ci definitionURL="http://biomodels.net/SBO/#SBO:0000320"> kcat </ci>
</bvar>
<apply>
<divide/>
<apply>
<times/>
<ci> Et </ci>
<ci> kcat </ci>
<ci> A </ci>
<ci> B </ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci> KiA </ci>
<ci> KmB </ci>
</apply>
<apply>
<times/>
<ci> KmB </ci>
<ci> A </ci>
</apply>
<apply>
<times/>
<ci> KmA </ci>
<ci> B </ci>
</apply>
<apply>
<times/>
<ci> A </ci>
<ci> B </ci>
</apply>
</apply>
</apply>
</lambda>
</semantics>
</math>
sbo
SBO:0000432
irreversible Michaelis Menten rate law for two substrates
Enzymatic rate law for an irreversible reaction involving two substrates and one product.