The effect of conservation on the dynamics of chemical reaction networks

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

5 Citations (Scopus)

Abstract

Component mass conservation gives a linear first integral to the dynamic reaction kinetic equations and greatly influences the set of admissible reactions. Therefore, mass conservation can be related to the deficiency of the reaction network and thus to its dynamic properties. In particular, it is shown that a mass conserving CRN without isomers and with a full rank complex composition matrix has zero deficiency. The concepts and results are illustrated on the example of the original and the lumped version of Michaelis-Menten kinetics.

Original languageEnglish
Title of host publication1st IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, TFMST 2013 - Proceedings
Pages30-35
Number of pages6
EditionPART 1
DOIs
Publication statusPublished - Oct 21 2013
Event1st IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, TFMST 2013 - Lyon, France
Duration: Jul 13 2013Jul 16 2013

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume1
ISSN (Print)1474-6670

Other

Other1st IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, TFMST 2013
CountryFrance
CityLyon
Period7/13/137/16/13

Keywords

  • Chemical variables control
  • Graph theoretic models
  • Modelling
  • Process control
  • Structural stability

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Hangos, K. M., & Szederkényi, G. (2013). The effect of conservation on the dynamics of chemical reaction networks. In 1st IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory, TFMST 2013 - Proceedings (PART 1 ed., pp. 30-35). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 1, No. PART 1). https://doi.org/10.3182/20130714-3-FR-4040.00008