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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




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

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References


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Key Terms

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

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Acknowledgements

Please cite www.physiome.org 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.

[This page was last modified 02Nov16, 2:41 pm.]

Model development and archiving support at physiome.org provided by the following grants: 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.