Parametric analysis of dynamically equivalent reaction network models

David Csercsik, Gabor Szederkenyi

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

Abstract

Using the results related to dynamically equivalent realizations of reaction kinetic systems, we analyze the dynamical properties of mass action reaction networks on which the well known structure based theorems of reaction kinetics are not directly applicable with respect to given range of certain rate coefficients. We introduce a transformation matrix to describe parametric changes, and show that if the appropriate transformation matrix has been found, parameter ranges for which certain dynamical properties can be ensured may be determined via the solution of a linear programming problem. The method is illustrated by numerical examples.

Original languageEnglish
Title of host publication2014 22nd Mediterranean Conference on Control and Automation, MED 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1365-1370
Number of pages6
ISBN (Electronic)9781479959006
DOIs
Publication statusPublished - Nov 18 2014
Event22nd Mediterranean Conference on Control and Automation, MED 2014 - Palermo, Italy
Duration: Jun 16 2014Jun 19 2014

Publication series

Name2014 22nd Mediterranean Conference on Control and Automation, MED 2014

Other

Other22nd Mediterranean Conference on Control and Automation, MED 2014
CountryItaly
CityPalermo
Period6/16/146/19/14

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Networks and Communications
  • Computer Science Applications
  • Information Systems

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  • Cite this

    Csercsik, D., & Szederkenyi, G. (2014). Parametric analysis of dynamically equivalent reaction network models. In 2014 22nd Mediterranean Conference on Control and Automation, MED 2014 (pp. 1365-1370). [6961566] (2014 22nd Mediterranean Conference on Control and Automation, MED 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2014.6961566