L. Segel et A. Goldbeter, SCALING IN BIOCHEMICAL KINETICS - DISSECTION OF A RELAXATION-OSCILLATOR, Journal of mathematical biology, 32(2), 1994, pp. 147-160
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.