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 greatest 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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Pharmacology:
- Washout curve simulation by sum of three decaying exponentials.
- Three reactions in series with no enzymes.
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Key Terms
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Model History
Get Model history in CVS.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 26Aug10, 12:46 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.
