Asymptotology of Chemical Reaction Networks

Details Asymptotology of Chemical Reaction Networks Asymptotology of Chemical Reaction Networks

2009-03-29

arxiv.org/abs/0903.5072v2

Chemical Engineering Science 65 (2010) 2310--2324

Physics

Chemical Physics

23 pages, 8 figures, 84 refs, Corrected Journal Version

Scientific paper

10.1016/j.ces.2009.09.005

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.

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