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

DOI10.1098/rsta.1991.0125zbMath0744.92018OpenAlexW1999030877MaRDI QIDQ4007277

Meghan A. Burke, Philip K. Maini, James D. Murray

Publication date: 27 September 1992

Published in: Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:640defbe-5e21-4476-8530-d89984ad4a7b

zbMATH Keywords

singular perturbation analysisQSSAMichaelis-Menten reactionenzyme-substrate reactiondiffusion of substrateenzyme to substrate ratioquasi-steady- state assumption

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Chemical kinetics in thermodynamics and heat transfer (80A30)

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The use of algebraic sets in the approximation of inertial manifolds and lumping in chemical kinetic systems ⋮ Delay stability of reaction systems ⋮ Trend to equilibrium for a reaction-diffusion system modelling reversible enzyme reaction ⋮ Diffusion fronts in enzyme-catalysed reactions ⋮ Local diffusion models for stochastic reacting systems: estimation issues in equation-free numerics ⋮ Maini's many contributions to mathematical enzyme kinetics: a review

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