|Evolution and self-organization in mathematical models|
Michèle Thieullen (Paris VI)
3 octobre 2008
Through some classical examples we shall wonder what the mathematical counterpart of biological questions such as self-organization and evolution may be. Mathematics tends to establish broad classes of problems bearing the same properties. Thus, mathematically speaking, the study of a model for morphogenesis may have analogies with one of neuronal activity. We shall stress a important common feature of the models considered: first the identification of relevant parameters, and then the existence of values of these parameters for which particular situations (pattern or oscillation for instance) can take place. We shall also discuss the use of stochastic rather than deterministic models.
|Michèle Thieullen (Paris VI)|
Michèle Thieullen appartient au Laboratoire de probabilités et modèles aléatoires de l’université Pierre-et-Marie-Curie (Paris VI).