Loss of Linearity and Symmetrisation in Regulatory Networks

Jacques Demongeot (1) , Eric Goles (2) , Sylvain Sené (3)

1 TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
2 CMM - Centre de modélisation mathématique / Centro de Modelamiento Matemático [Santiago]
3 DM2L - Data Mining and Machine Learning

This article aims at giving some new theoretical properties of threshold Boolean automata networks which are good mathematical objects to model biological regulatory networks. The objective is the emphasis of a necessary condition for which these networks, when they are governed by a non-linear evolution law, are sensitive to the influence of boundary conditions. Then, this paper opens an argued discussion about the notion of "symmetrisability'' of regulatory networks which is relevant to understand some specific dynamical behaviours of real biological networks, and shows that this notion allows to explain an important feature of the \emph{Arabidopsis thaliana} floral morphogenesis model.

Mots clés: Symmetrisation; Stochastic and deterministic regulatory networks; Robustness; Boundary conditions

Domaines: Informatique [cs]

Jacques Demongeot, Eric Goles, Sylvain Sené. Loss of Linearity and Symmetrisation in Regulatory Networks. Advanced Information Networking and Applications Workshops, May 2009, Bradford, United Kingdom. ⟨10.1109/WAINA.2009.64⟩. ⟨hal-01499511⟩