On the geometry of equilibrium solutions of kinetic systems obeying the mass action law

Antonio A. Alonso, Gábor Szederkényi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this contribution the problem relating dynamic behavior and parameter values for weakly reversible chemical reaction networks (CRNs) that obey the mass action law is revisited. The approach is founded on previous methods and results discussed in [15, 16] for weakly reversible CRNs. Two new research directions are however undertaken in this study, one of them exploits an alternative factorization of the Kernel of the Kirchhoff matrix Ak which in a natural way links complex balance with zero deficiency. The other one intends to use the convex structure of the so-called family of solutions described in [15] on the space of reaction channels.

Original languageEnglish
Title of host publication8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012
Pages469-474
Number of pages6
EditionPART 1
DOIs
Publication statusPublished - Oct 9 2012
Event8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012 - Singapore, Singapore
Duration: Jul 10 2012Jul 13 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume8
ISSN (Print)1474-6670

Other

Other8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012
CountrySingapore
CitySingapore
Period7/10/127/13/12

ASJC Scopus subject areas

  • Control and Systems Engineering

Fingerprint Dive into the research topics of 'On the geometry of equilibrium solutions of kinetic systems obeying the mass action law'. Together they form a unique fingerprint.

  • Cite this

    Alonso, A. A., & Szederkényi, G. (2012). On the geometry of equilibrium solutions of kinetic systems obeying the mass action law. In 8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012 (PART 1 ed., pp. 469-474). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 8, No. PART 1). https://doi.org/10.3182/20120710-4-SG-2026.00089