Computing reaction kinetic realizations of positive nonlinear systems using mixed integer programming

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

2 Citations (Scopus)

Abstract

The reaction kinetic realizations of nonnegative polynomial systems are studied in this paper. It is briefly reviewed that a wide class of positive systems can be written in or simply transformed to kinetic form. Based on the structure of kinetic realizations, valuable information can be obtained about the dynamical properties of the investigated systems using the results of chemical reaction network theory (CRNT). Since the realizations of a given system can have many different structures, mixed integer linear programming is used to generate the ones with required properties (i.e. the minimal/maximal number of reactions or complexes).

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages981-986
Number of pages6
DOIs
Publication statusPublished - 2010
Event8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010 - Bologna, Italy
Duration: Sep 1 2010Sep 3 2010

Other

Other8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010
CountryItaly
CityBologna
Period9/1/109/3/10

Fingerprint

Integer programming
Reaction kinetics
Nonlinear systems
Kinetics
Circuit theory
Linear programming
Chemical reactions
Polynomials

Keywords

  • Chemical reaction networks
  • Mixed integer optimization
  • Nonlinear systems
  • Positive systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Computing reaction kinetic realizations of positive nonlinear systems using mixed integer programming. / Szederkényi, G.

IFAC Proceedings Volumes (IFAC-PapersOnline). 2010. p. 981-986.

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

Szederkényi, G 2010, Computing reaction kinetic realizations of positive nonlinear systems using mixed integer programming. in IFAC Proceedings Volumes (IFAC-PapersOnline). pp. 981-986, 8th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2010, Bologna, Italy, 9/1/10. https://doi.org/10.3182/20100901-3-IT-2016.00108
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