Inducing sustained oscillations in mass action kinetic networks of a certain class

Irene Otero-Muras, Gabor Szederkenyi, Antonio A. Alonso, Katalin M. Hangos

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

Abstract

Engineering a synthetic oscillator requires an oscillatory model which can be implemented into practice. Some required conditions for a successful practical implementation include the robustness of the oscillation under realistic parameter values and the accessibility to the variables that need to be manipulated. For a particular class of theoretical oscillators derived from mass action kinetic models, oscillations appear provided that some of the concentrations are kept constant at given values. This condition is not trivially accomplished in practice. In this work we provide two different realizations of kinetic networks leading to the desired limit cycle oscillation: a mass action kinetic system with constant inow and outow for some of the species, and a stirred tank reactor configuration with some entrapped species where the nonchemical effect of keeping some concentrations constant is achieved by manipulating some accessible variables. The results, together with the robustness of the approach and the conditions for further practical implementation are discussed and illustrated through the well known Brusselator example.

Original languageEnglish
Title of host publication8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012
Pages475-480
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

Keywords

  • Biochemical reaction
  • Feedback linearization
  • Nonlinear control systems
  • Oscillators

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Otero-Muras, I., Szederkenyi, G., Alonso, A. A., & Hangos, K. M. (2012). Inducing sustained oscillations in mass action kinetic networks of a certain class. In 8th International Symposium on Advanced Control of Chemical Processes, ADCHEM 2012 (PART 1 ed., pp. 475-480). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 8, No. PART 1). https://doi.org/10.3182/20120710-4-SG-2026.00147