Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics

This article is concerned withthe asymptotic accuracy of theComputational 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 asystem of chemical kinetics equations.The method,which is generally applicable tomultiple-time scale problemsarising in a broad array of scientific disciplines,exploits the presence ofdisparate time scales to modelthe dynamics by an evolution equationon a lower-dimensional slow manifold.In this article it is shown thatthe successive applicationsof the CSP algorithm generate, order by order, the asymptotic expansionof a slow manifold.The results are illustratedon the Michaelis–Menten–Henriequations of enzyme kinetics.