The Mathematical Institute, University of Oxford, Eprints Archive

Enzyme kinetics at high enzyme concentrations

Schnell, S. and Maini, P. K. (2000) Enzyme kinetics at high enzyme concentrations. Bulletin of Mathematical Biology, 62 (3). pp. 483-499.

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Abstract

We re-visit previous analyses of the classical Michaelis-Menten substrate-enzyme reaction and, with the aid of the reverse quasi-steady-state assumption, we challenge the approximation d[C]/dt ≈ 0 for the basic enzyme reaction at high enzyme concentration. For the first time, an approximate solution for the concentrations of the reactants uniformly valid in time is reported. Numerical simulations are presented to verify this solution. We show that an analytical approximation can be found for the reactants for each initial condition using the appropriate quasi-steady-state assumption. An advantage of the present formalism is that it provides a new procedure for fitting experimental data to determine reaction constants. Finally, a new necessary criterion is found that ensures the validity of the reverse quasi-steady-state assumption. This is verified numerically.

Item Type:Article
Uncontrolled Keywords:n/a
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:421
Deposited By:Philip Maini
Deposited On:23 Nov 2006
Last Modified:20 Jul 2009 14:21

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