A Tutorial on Chemical Reaction Network Dynamics

被引：89

作者：

Angeli, David ^{[1
,2
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2AZ, England

[2] Univ Florence, Dipartimento Sistemi & Informat, Florence, Italy

来源：

EUROPEAN JOURNAL OF CONTROL | 2009年 / 15卷 / 3-4期

关键词：

Chemical Reaction Networks; Persistence; Multi-stability; Entropy; Monotone dynamics; MULTIPLE EQUILIBRIA; STABILITY;

D O I：

10.3166/EJC.15.398-406

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Chemical Reaction Networks (CRNs for short) can be effectively modeled by means of nonlinear, parameter-dependent systems of ordinary differential equations. The uncertain knowledge of parameters makes for the need of qualitative tools which relate structure and dynamics of such nonlinear systems. We present an account of different results which allow to claim properties such as global asymptotic stability, persistence, monotonicity and existence of a unique equilibrium on the basis of graphical representations of the network.

引用

页码：398 / 406

页数：9

共 27 条

[1]

ANGELI D, 2007, LECT NOTES CONTROL I

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