Leo Meyer: Mathematical modeling of the size distribution of adipose cells

par M. Léo Meyer (IDP-Orléans)

jeudi 5 oct. 2023, 11:00 → 12:00 Europe/Paris

Orléans: salle 16 du bâtiment de physique, Tours: Salle E2000 (IDP)

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 Lifshitz-Slyozov equations that is able to replicate this 
bimodale feature. I also introduce a microscopic scale model build from the Becker-Döring equations and show a 
new convergence result toward the LS-inspired model. I will also present some numerical results as well as extensions 
to stochastic models.