Paul Ruet
IRIF, Université Paris Diderot
https://www.irif.fr/~ruet/
Date(s) : 09/05/2016 iCal
14 h 00 min - 16 h 00 min
Boolean networks represent the interaction of finitely many variables which may take two values, 0 and 1. They have been extensively used as models of various biological networks, notably genetic regulatory networks since the early works of S. Kauffman and R. Thomas. In this context, a variable models the (discretized) expression level of a gene, and certain dynamical properties of the network have a natural biological interpretation: the existence of several fixed points (or more generally attractors) corresponds to cellular differentiation, and sustained oscillations (cyclic attractors) correspond to a form of homeostasis. In this talk, I will give an overview of recent results relating these dynamical properties to the structure of the networks, in terms of (positive or negative, local or global) cycles. In particular, we shall see that, while the existence of several fixed points is well-known to imply the existence of a local positive cycle, sustained oscillations do not imply the existence of a local negative cycle.
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