# Analysis of the CSP Reduction Method for Chemical Kinetics

Source: [Analysis of the CSP Reduction Method for Chemical Kinetics](<https://www.sota2.com/research/paper/68fa4cc31e209131ce94ee5a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T08:56:19.320Z

Authors: Antonios Zagaris, Hans G. Kaper, Tasso J. Kaper

Published: 2003-05-26T17:42:24.000Z

## Abstract

This article is concerned with the asymptotic accuracy of the Computational Singular Perturbation (CSP) method developed by Lam and Goussis to reduce the dimensionality of a system of chemical kinetics equations. The method 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0305355>)

[PDF](<https://arxiv.org/pdf/math/0305355.pdf>)