Asymptotology of chemical reaction networks

被引：44
作者：
Gorban, A. N. [1 ]
Radulescu, O. [2 ]
Zinovyev, A. Y. [3 ]
机构：
[1] Univ Leicester, Leicester LE1 7RH, Leics, England
[2] Univ Rennes 1, IRMAR, UMR 6625, F-35042 Rennes, France
[3] Mines ParisTech, Inst Curie, INSERM, U900, F-75248 Paris, France
来源：
CHEMICAL ENGINEERING SCIENCE | 2010年 / 65卷 / 07期
关键词：
Reaction network; Asymptotology; Dominant system; Limiting step; Multiscale asymptotic; Model reduction; MONOMOLECULAR REACTION SYSTEMS; LUMPING ANALYSIS; BALANCED TRUNCATION; MODEL-REDUCTION; KINETICS; ELUCIDATION; EQUILIBRIUM; MECHANISMS; PRINCIPLES; ENZYME;
D O I：
10.1016/j.ces.2009.09.005
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
The concept of the limiting step is extended to the asymptotology of multiscale reaction networks. Complete theory for linear networks with well separated reaction rate constants is developed. We present algorithms for explicit approximations of eigenvalues and eigenvectors of kinetic matrix. Accuracy of estimates is proven. Performance of the algorithms is demonstrated on simple examples. Application of algorithms to nonlinear systems is discussed. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：2310 / 2324
页数：15
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