Mathematical Biosciences and Engineering, 2010, 7(2): 301-312. doi: 10.3934/mbe.2010.7.301.

Primary: 37G15; Secondary: 92C45.

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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

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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Keywords Hopf bifurcations; Poincaré-Bendixson theorem.; Oscillations; Chemical reaction networks

Citation: Julien Coatléven, Claudio Altafini. A kinetic mechanism inducing oscillations in simple chemical reactions networks. Mathematical Biosciences and Engineering, 2010, 7(2): 301-312. doi: 10.3934/mbe.2010.7.301

 

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