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Robustesse des réseaux d'automates booléens à seuil aux modes d'itération. Application à la modélisation des réseaux de régulation génétique.

Adrien Elena 1
1 TIMB
TIMC - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : In this thesis, we study the influence of a change of iteration mode on the attractors of a threshold boolean automata network. These networks are discrete mathematical objects classicaly used to model biological regulation systems. The objective is to underline the importance of the choice of iteration mode for the dynamics of these networks especially for the observed limit cycles. First we run simulations of the dynamics of unbiased samples of networks with size varying from one node to seven nodes. The results of these simulations show that as the size of these networks increases their dynamics becomes more and more sensitive to the choice of iteration mode. Next we show a theoretical result that links the observed limit cycles for a network iterated with parallel mode and other iteration modes with limit cycles.
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https://tel.archives-ouvertes.fr/tel-00447564
Contributor : Adrien Elena <>
Submitted on : Friday, January 15, 2010 - 12:48:53 PM
Last modification on : Thursday, November 19, 2020 - 3:56:08 PM
Long-term archiving on: : Thursday, June 17, 2010 - 10:49:57 PM

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  • HAL Id : tel-00447564, version 1

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Adrien Elena. Robustesse des réseaux d'automates booléens à seuil aux modes d'itération. Application à la modélisation des réseaux de régulation génétique.. Modélisation et simulation. Université Joseph-Fourier - Grenoble I, 2009. Français. ⟨tel-00447564⟩

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