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arXiv 0903.5072physics.chem-phphysics.comp-ph
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化学反应网络的渐近性

Asymptotology of Chemical Reaction Networks

A. N. Gorban, O. Radulescu, A. Y. Zinovyev

摘要:

将极限步的概念推广到多尺度反应网络的渐近性。发展了具有良好分离的反应速率常数的线性网络的完整理论。给出了动力学矩阵特征值和特征向量的显式逼近算法。估计的准确性得到了证实。简单的例子证明了算法的性能。讨论了算法在非线性系统中的应用。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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