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# Progress3.MM

Sequence of two catalyzed 1st order Michaelis Menten-type irreversible reactions.

Model number: 0270

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## Description

Two irreversible reactions are governed by Michaelis-Menten kinetics. Consider the following two cases for the first reaction, dA/dt = -VmaxA*A/(KmA+A) : Case 1: A<<KmA, The reaction rate is ~VmaxA/Kma and the flux is VmaxA*(A/KmA)<<VmaxA. Case 2: A>>KmA. The reaction rate is ~VmaxA/A and the flux is VmaxA. The reaction rate is slowest when A<<KmA. The flux is greatest when A>>KmA.

Figure plots concentration (mM) as a function of time of substrate A and its reaction products B and C.

## Equations

$\large { \frac {dA}{dt} = -V_{\text{\small{maxA}}} *\frac {A}{K_\small{mA}+A} }$
$\large { \frac {dB}{dt} = V_{\text{\small{maxA}}} *\frac {A}{K_\small{mA}+A} - V_{\text{\small{maxB}}} *\frac {B}{K_\small{mB}+B} }$
$\large { \frac {dC}{dt} = -V_{\text{\small{maxB}}} *\frac {B}{K_\small{mB}+B} }$
Where Concentrations and Km are in mM, and Vmax has units of mM/sec.

## References




## Related Models

Single Compartment Models:

Two Compartment Models:

N>2 Compartment Models:

Osmotic Exchange:

Pharmacology:

## Key Terms

Progress curves, irreversible reactions,PK_PD, pharmacokinetics, first order kinetics, Michaelis-Menten, tutorial, Progress3.MM