Institut de Mathématiques de Luminy

Abstract 2006-12

Crumière Anne, Ruet Paul.
Spatial differentiation and positive circuits in a discrete framework

We consider the interactions of genes in several cells located on a 1-dimensional infinite grid, we assume that the expression levels of genes are discrete, and we show that the existence of a positive circuit is a necessary condition for a certain form of multistationnarity, namely the presence of several periodic fixed points having at least one cell with the same expression levels.


Last update : june 19, 2006, EL.