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Scaling in biochemical kinetics: dissection of a relaxation oscillator

par Segel, Lee A.;Goldbeter, Albert
Référence Journal of mathematical biology, 32, 2, page (147-160)
Publication Publié, 1994

Article révisé par les pairs

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Résumé :

In a case study of a class of biochemical models, methods of scaling are employed to determine the expected limits of validity of singular perturbation approaches to a relaxation oscillator. This work complements earlier analysis of the use of the quasi-steady-state approximation for the Michaelis-Menten approximation. These studies present an advantage over more conventional approaches in which attention is concentrated on a single parameter, in that the range of convergence is delineated more precisely in the full parameter space of the problem. © 1994, Springer-Verlag. All rights reserved.