Computing core reactions of uncertain polynomial kinetic systems

Zoltan A. Tuza, Gabor Szederkenyi

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

1 Citation (Scopus)

Abstract

Kinetic systems form a wide nonlinear system class with good descriptive power that can efficiently be used for the dynamical modeling of non-negative models emerging not only in (bio)chemistry but in other important scientific and engineering fields as well. The directed graph structure assigned to kinetic models give us important information about the qualitative dynamical properties of the system. In this paper we extend the previous results for computing structurally invariant directed edges (called core reactions) for uncertain kinetic polynomial models, where the uncertainty is represented as a multi-dimensional interval in the space of monomial coefficients. We show that the computation can be put into the framework of linear programming. Using illustrative examples we demonstrate the properties of the computed structures and the potential application of the method in the support of structural identification of biochemical networks.

Original languageEnglish
Title of host publication2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings
EditorsVictor Munoz, Joseba Quevedo, Jorge L. Martinez, Jesus Morales
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1140-1147
Number of pages8
ISBN (Electronic)9781479999361
DOIs
Publication statusPublished - Jul 14 2015
Event23rd Mediterranean Conference on Control and Automation, MED 2015 - Torremolinos, Spain
Duration: Jun 16 2015Jun 19 2015

Publication series

Name2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings

Other

Other23rd Mediterranean Conference on Control and Automation, MED 2015
CountrySpain
CityTorremolinos
Period6/16/156/19/15

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Keywords

  • Biologically inspired systems
  • Nonlinear systems
  • Optimisation

ASJC Scopus subject areas

  • Control and Optimization
  • Control and Systems Engineering

Cite this

Tuza, Z. A., & Szederkenyi, G. (2015). Computing core reactions of uncertain polynomial kinetic systems. In V. Munoz, J. Quevedo, J. L. Martinez, & J. Morales (Eds.), 2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings (pp. 1140-1147). [7158909] (2015 23rd Mediterranean Conference on Control and Automation, MED 2015 - Conference Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2015.7158909