SCALING IN BIOCHEMICAL KINETICS - DISSECTION OF A RELAXATION-OSCILLATOR

Citation
L. Segel et A. Goldbeter, SCALING IN BIOCHEMICAL KINETICS - DISSECTION OF A RELAXATION-OSCILLATOR, Journal of mathematical biology, 32(2), 1994, pp. 147-160
Citations number
15
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
03036812
Volume
32
Issue
2
Year of publication
1994
Pages
147 - 160
Database
ISI
SICI code
0303-6812(1994)32:2<147:SIBK-D>2.0.ZU;2-2
Abstract
In a case study of a class of biochemical models, methods of scaling a re employed to determine the expected limits of validity of singular p erturbation approaches to a relaxation oscillator. This work complemen ts earlier analysis of the use of the quasi-steady-state approximation for the Michaelis-Menten approximation. These studies present an adva ntage over more conventional approaches in which attention is concentr ated on a single parameter, in that the range of convergence is deline ated more precisely in the full parameter space of the problem.