Laboratoire J.-L. Lions Update : March 2018
Sorbonne-Université BC187 4, pl. Jussieu 75252 Paris cedex 05
Tour 16-26, etage 3, bureau 325 tel. (33) 1 44 27 85 18 sec. (33) 1 44 27 42 98
Email : Benoit.Perthame’at’sorbonne-universite.fr
Asymptotic approach to spatial and dynamical organizations
Motion of cells and chemotaxis: Parabolic, hyperbolic and kinetic models are used to describe the collective motion and self-organization of cells or bacterial colonies.
Motivated by darwinian evolution : Multiplication, selection and mutations are principles that can be written in nonlocal parabolic models.
They give rise to solutions that concentrate as Dirac masses.
PDE models for neural assemblies : Closure of stochastic models of neuronal networks lead to interesting PDE models as the Integrate and Fire or Elapsed Time model.
Questions here are to understand desynchronsation, spontaneous activity, information coding.
Tumor growth and resistance to chemotherapy : This is an ongoing project in the team MAMBA
Population balance laws: Growth in cell populations, polymerization processes by aggregation and fragmentation. The inverse problem is particularly interesting.
Renal flows : This was a project with : A. Edwards (CNRS-INSERM, ERL 7226 - UMRS 872), N. Seguin and M. Tournus