Journal of Mathematical Chemistry

, Volume 49, Issue 6, pp 1163–1179

Finding complex balanced and detailed balanced realizations of chemical reaction networks

Authors

    • Process Control Research Group, Computer and Automation Research InstituteHungarian Academy of Sciences
  • Katalin M. Hangos
    • Process Control Research Group, Computer and Automation Research InstituteHungarian Academy of Sciences
    • Department of Electrical Engineering and Information SystemsUniversity of Pannonia
Original Paper

DOI: 10.1007/s10910-011-9804-9

Cite this article as:
Szederkényi, G. & Hangos, K.M. J Math Chem (2011) 49: 1163. doi:10.1007/s10910-011-9804-9

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.

Keywords

Reaction kinetic systems Mass action kinetics Linear programming

Mathematics Subject Classification (2000)

80A30 chemical kinetics

Copyright information

© Springer Science+Business Media, LLC 2011