A kinetic mechanism inducing oscillations in simple chemical reactions networks

2010, Volume 7, Issue 2: 301-312. doi: 10.3934/mbe.2010.7.301

Previous Article Next Article

1.
Laboratoire POEMS, UMR 7231 CNRS/INRIA/ENSTA, INRIA Rocquencourt, B.P. 105 78153, Le Chesnay Cedex
2.
SISSA-ISAS, International School for Advanced Studies, via Beirut 2-4, 34014 Trieste

Received: 01 January 2009 Accepted: 29 June 2018 Published: 01 April 2010
MSC : Primary: 37G15; Secondary: 92C45.

It is known that a kinetic reaction network in which one or more secondary substrates are acting as cofactors may exhibit an oscillatory behavior. The aim of this work is to provide a description of the functional form of such a cofactor action guaranteeing the onset of oscillations in sufficiently simple reaction networks.
- Hopf bifurcations,
- Poincaré-Bendixson theorem.,
- Oscillations,
- Chemical reaction networks
Citation: Julien Coatléven, Claudio Altafini. A kinetic mechanism inducing oscillations in simple chemical reactions networks[J]. Mathematical Biosciences and Engineering, 2010, 7(2): 301-312. doi: 10.3934/mbe.2010.7.301

Related Papers:
Abstract

It is known that a kinetic reaction network in which one or more secondary substrates are acting as cofactors may exhibit an oscillatory behavior. The aim of this work is to provide a description of the functional form of such a cofactor action guaranteeing the onset of oscillations in sufficiently simple reaction networks.
Reader Comments

Your name:*

Email:*
© 2010 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)