The Mathematical Institute, University of Oxford, Eprints Archive

On the quasi-steady state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion

Maini, P. K. and Burke, Meghan and Murray, J. D. (1991) On the quasi-steady state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion. Philosophical Transactions of the Royal Society A, 337 (1646). pp. 299-306. ISSN 0962-8428

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Abstract

We consider a recent extension to the validity of the quasi-steady-state assumption (QSSA) which includes the case where the ratio of the initial enzyme to substrate concentration is not necessarily small. We extend the analysis to include diffusion of substrate, in which case the initial enzyme to substrate ratio is spatially dependent and no longer constant. We show that the region in which the QSSA holds depends on the nature of the enzyme-substrate reaction: if the enzyme is inactivated by the substrate then the QSSA holds in a growing disc; if the enzyme is unchanged after reaction then the QSSA holds in a ring travelling through space.

Item Type:Article
Uncontrolled Keywords:n/a
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:514
Deposited By:Philip Maini
Deposited On:13 Dec 2006
Last Modified:20 Jul 2009 14:22

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