Skip to Main content Skip to Navigation
Theses

Influence des conditions de bord dans les réseaux d'automates booléens à seuil et application à la biologie

Sylvain Sené 1
1 TIMB
TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
Abstract : In this thesis, we focus on the influence of boundary conditions in threshold Boolean automata networks, which are discrete mathematical objects classicaly used to model biological regulations systems. The objective is to emphasise that boundaries, which can be related to electrical potential, hormones flows or even micro-RNA, are elements which can radically change systems behaviour. This objective is reached by developing a study under two distinct axes. The first one consists in showing the links between the influence of boundary conditions and phase transitions emerging from the asymptotic behaviour of theoretical networks, namely cellular automata networks. The second axis focuses on real biological systems and develops the idea according to which boundary conditions gets a significant influence on the attraction basins of dynamical systems used to model these real systems.
Complete list of metadata

Cited literature [103 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-00339748
Contributor : Sylvain Sené <>
Submitted on : Thursday, April 16, 2009 - 10:13:42 AM
Last modification on : Tuesday, June 1, 2021 - 3:44:12 PM
Long-term archiving on: : Wednesday, March 29, 2017 - 4:31:05 PM

Identifiers

  • HAL Id : tel-00339748, version 2

Collections

Citation

Sylvain Sené. Influence des conditions de bord dans les réseaux d'automates booléens à seuil et application à la biologie. Informatique [cs]. Université Joseph-Fourier - Grenoble I, 2008. Français. ⟨tel-00339748v2⟩

Share

Metrics

Record views

654

Files downloads

697