Finding complex balanced and detailed balanced realizations of chemical reaction networks

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46 Citations (Scopus)

Abstract

Reversibility, weak reversibility and deficiency, detailed and complex balancing are generally not "encoded" in the kinetic differential equations but they are realization properties that may imply local or even global asymptotic stability of the underlying reaction kinetic system when further conditions are also fulfilled. In this paper, efficient numerical procedures are given for finding complex balanced or detailed balanced realizations of mass action type chemical reaction networks or kinetic dynamical systems in the framework of linear programming. The procedures are illustrated on numerical examples.

Original languageEnglish
Pages (from-to)1163-1179
Number of pages17
JournalJournal of Mathematical Chemistry
Volume49
Issue number6
DOIs
Publication statusPublished - Jun 1 2011

Keywords

  • Linear programming
  • Mass action kinetics
  • Reaction kinetic systems

ASJC Scopus subject areas

  • Chemistry(all)
  • Applied Mathematics

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