Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 35, Issue 1-2, Pages 137-144Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0895-7177(01)00156-X
Keywords
total quasi-steady-state approximation; fitting procedure; aggregation technique; singular perturbation
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Analytic approximations of the time-evolution of the single enzyme-substrate reaction are valid for all but a small region of parameter space in the positive initial enzyme-initial substrate concentration plane. We find velocity equations for the substrate decomposition and product formation with the aid of the total quasi-steady-state approximation and an aggregation technique for cases where neither the more normally employed standard nor reverse quasi-steady-state approximations are valid. Applications to determining reaction kinetic parameters are discussed. (C) 2001 Elsevier Science Ltd. All rights reserved.
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