Institut de Mathématiques de Luminy

Abstract 2006-23

Remy Elisabeth, Ruet Paul.
On differentiation and homeostatic behaviours of Boolean dynamical systems.

We study rules proposed by the biologist R. Thomas relating the structure of a concurrent system of interacting genes (represented by a signed directed graph called a regulatory graph) with its dynamical properties. We prove that the results in [10] are stable under projection, and this enables us to relax the assumptions under which they are valid. More precisely, we relate here the presence of a positive (resp. negative) circuit in a regulatory graph to a more general form of biological differentiation (resp. of homeostasis).

 


Last update : november 29, 2006, EL.