Abstract
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.
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Segel, L., Goldbeter, A. Scaling in biochemical kinetics: dissection of a relaxation oscillator. J. Math. Biol. 32, 147–160 (1994). https://doi.org/10.1007/BF00163029
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DOI: https://doi.org/10.1007/BF00163029