Title :
A kinetic mechanism inducing oscillations in simple chemical reactions networks
Author :
Coatléven, J. ; Altafini, C.
Author_Institution :
ENSTA, Paris, France
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.
Keywords :
chemical reactions; oscillations; chemical reactions networks; cofactor action; kinetic reaction network; oscillations; Bifurcation; Biological materials; Chemicals; Circadian rhythm; Eigenvalues and eigenfunctions; Fungi; Genetics; Kinetic theory; Oscillators; Steady-state;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739206