On proving the absence of oscillations in models of genetic circuits

Abstract : Using computer algebra methods to prove that gene regulatory networks cannot oscillate appears to be easier than expected. We illustrate this claim on a family of models related to historical examples.
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Conference papers
Hirokazu Anai, Katsuhisa Horimoto and Temur Kutsia. Second International Conference, AB 2007, Jul 2007, Hagenberg, Austria. Springer Verlag, 4545, pp.66-80, 2007, LNCS. <10.1007/978-3-540-73433-8>


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François Boulier, Marc Lefranc, François Lemaire, Pierre-Emmanuel Morant, Asli Ürgüplü. On proving the absence of oscillations in models of genetic circuits. Hirokazu Anai, Katsuhisa Horimoto and Temur Kutsia. Second International Conference, AB 2007, Jul 2007, Hagenberg, Austria. Springer Verlag, 4545, pp.66-80, 2007, LNCS. <10.1007/978-3-540-73433-8>. <hal-00139667>

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