Model number
0270

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

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.

fig 1

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

Equations

e0

e1

e2

Where Concentrations and Km are in mM, and Vmax has units of mM/sec.

Download JSim model project file

Help running a JSim model.

References

None.

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

Please cite https://www.imagwiki.nibib.nih.gov/physiome in any publication for which this software is used and send one reprint to the address given below:
The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061.

Model development and archiving support at https://www.imagwiki.nibib.nih.gov/physiome provided by the following grants: NIH U01HL122199 Analyzing the Cardiac Power Grid, 09/15/2015 - 05/31/2020, NIH/NIBIB BE08407 Software Integration, JSim and SBW 6/1/09-5/31/13; NIH/NHLBI T15 HL88516-01 Modeling for Heart, Lung and Blood: From Cell to Organ, 4/1/07-3/31/11; NSF BES-0506477 Adaptive Multi-Scale Model Simulation, 8/15/05-7/31/08; NIH/NHLBI R01 HL073598 Core 3: 3D Imaging and Computer Modeling of the Respiratory Tract, 9/1/04-8/31/09; as well as prior support from NIH/NCRR P41 RR01243 Simulation Resource in Circulatory Mass Transport and Exchange, 12/1/1980-11/30/01 and NIH/NIBIB R01 EB001973 JSim: A Simulation Analysis Platform, 3/1/02-2/28/07.