The Mathematical Institute, University of Oxford, Eprints Archive

Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios

Frenzen, C. L. and Maini, P. K. (1988) Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios. Journal of Mathematical Biology, 26 (6). pp. 689-703.

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Abstract

We extend the validity of the quasi-steady state assumption for a model double intermediate enzyme-substrate reaction to include the case where the ratio of initial enzyme to substrate concentration is not necessarily small. Simple analytical solutions are obtained when the reaction rates and the initial substrate concentration satisfy a certain condition. These analytical solutions compare favourably with numerical solutions of the full system of differential equations describing the reaction. Experimental methods are suggested which might permit the application of the quasi-steady state assumption to reactions where it may not have been obviously applicable before.

Item Type:Article
Uncontrolled Keywords:Michaelis Menten approximation - Quasi-steady state assumption - Scaling - Singular perturbations - Fast and slow timescales
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:528
Deposited By:Philip Maini
Deposited On:15 Dec 2006
Last Modified:20 Jul 2009 14:22

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