SCALING IN BIOCHEMICAL KINETICS - DISSECTION OF A RELAXATION-OSCILLATOR

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.