Modeling the size distribution of adipose cells using a Lifshitz-Slyozov model (Postponed)

Nom de l'orateur
Léo Meyer
Etablissement de l'orateur
Institut Denis Poisson, Université d'Orléans
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires

Adipose cells or adipocytes are the specialized cells composing the adipose tissue in a variety of species.Their role is the storage of energy in the form of a lipid droplet inside their membrane. Based on the amount of lipid they contain, one can consider the distribution of adipocyte per amount of lipid and observe a peculiar feature : the resulting distribution is bimodal, thus having two local maxima. The aim of this talk is to introduce a model built from the work in Soula & al. (2013) that is able to reproduce this bimodal feature using a Lifshitz-Slyozov model. Additionally we present some result on this model and its relation to the Becker-Döring model. We can show that under some assumptions the later converges to the former and by looking at higher order term we can build an extended diffusive Lifshitz-Slyozov model which better describes the dynamics of adipose cells. I will also present some probabilistic insight into this convergence and some numerical simulations