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CompartmentalModeling

Guides

  • Compartmental Modeling

Tech Notes

  • Vertical Transmission Models

Symbols

  • DynamicTransmissionModel
  • ForceOfInfection
  • Incidence
  • NextGenerationMatrix
  • CollectModel
  • CompartmentalModelGraph
  • CompetitiveInhibitorKinetics
  • DefinePropensityFunction
  • DeriveTransitions
  • DynamicTransmissionModel
  • EnzymeReaction
  • EpidemiologyModelData
  • EpidemiologyModel
  • ExpandModel
  • ForceOfInfection
  • HillKinetics
  • Incidence
  • KineticCompartmentalModel
  • KineticReactionNetworkModel
  • MichaelisMentenKinetics
  • NextGenerationMatrix
  • NoncompetitiveInhibitorKinetics
  • NullCompartment
  • ResolveCompartmentalModel
  • StochasticSolve
  • StoichiometryTable
  • StratifyModel
  • Transition
  • UncompetitiveInhibitorKinetics
  • VitalDemographicsModel
  • $C
  • $CompartmentalModelingVersion
  • $EpidemiologyColor
  • $EpidemiologyModelingVersion
  • $R
  • $SystemsBiologyModelingVersion
RobertNachbar`SystemsBiologyModeling`
MichaelisMentenKinetics
​
MichaelisMentenKinetics
[{sub,
k
m
},
v
max
,t]
gives the irreversible enzyme catalyzed rate expression as a function of
t
for the substrate
sub
with Michaelis constant
k
m
and maximum rate
v
max
.
​
​
MichaelisMentenKinetics
[{sub,
km
s
},{prod,
km
p
},
v
max
,t]
gives the reversible enzyme catalyzed rate expression as a function of
t
for the substrate
sub
with Michaelis constant
km
s
, product
prod
with the Michaelis constant
km
p
, and maximum rate
v
max
.
​
Details and Options

Examples  
(4)
Basic Examples  
(2)
Compute the rate expression for an irreversible enzyme catalyzed reaction with Michaelis-Menten kinetics:
In[1]:=
MichaelisMentenKinetics
[{,km},vmax,t]
Out[1]=
vmax[t]
km1+
[t]
km

Define an enzyme-catalyzed reaction with Michaelis-Menten kinetics:
In[2]:=
Transition
→,"KineticLaw"
MichaelisMentenKinetics
[{,km},vmax,t]
Out[2]=
Transition→,KineticLaw
vmax[t]
km1+
[t]
km


​
Compute the rate expression for an irreversible enzyme catalyzed reaction with Michaelis-Menten kinetics:
In[1]:=
MichaelisMentenKinetics
[{,kms},{,kmp},vmax,t]
Out[1]=
vmax-
[t]
kmp
+
[t]
kms
1+
[t]
kmp
+
[t]
kms
Define a reversible enzyme-catalyzed reaction with Michaelis-Menten kinetics:
In[2]:=
Transition
→,"KineticLaw"
MichaelisMentenKinetics
[{,kms},{,kmp},vmax,t]
Out[2]=
Transition→,KineticLaw
vmax-
[t]
kmp
+
[t]
kms
1+
[t]
kmp
+
[t]
kms

Applications  
(2)

SeeAlso
EnzymeReaction
 
▪
HillKinetics
 
▪
CompetitiveInhibitorKinetics
 
▪
NoncompetitiveInhibitorKinetics
 
▪
UncompetitiveInhibitorKinetics
 
▪
KineticReactionNetworkModel
RelatedGuides
▪
Compartmental Modeling
""

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