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Mathematical Biosciences and Engineering

2010, Volume 7, Issue 2: 301-312. doi: 10.3934/mbe.2010.7.301
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A kinetic mechanism inducing oscillations in simple chemical reactions networks

  • 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.

    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

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  • 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.


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  • © 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)
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