Abstract
This article is concerned with the asymptotic accuracy of the Computational Singular Perturbation (CSP) method developed by Lam and Goussis [The CSP method for simplifying kinetics, Int. J. Chem. Kin. 26 (1994) 461–486] to reduce the dimensionality of a system of chemical kinetics equations. The method, which is generally applicable to multiple-time scale problems arising in a broad array of scientific disciplines, exploits the presence of disparate time scales to model the dynamics by an evolution equation on a lower-dimensional slow manifold. In this article it is shown that the successive applications of the CSP algorithm generate, order by order, the asymptotic expansion of a slow manifold. The results are illustrated on the Michaelis–Menten–Henri equations of enzyme kinetics.
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Zagaris, A., Kaper, H. & Kaper, T. Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics. J Nonlinear Sci 14, 59–91 (2004). https://doi.org/10.1007/s00332-003-0582-9
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DOI: https://doi.org/10.1007/s00332-003-0582-9