ERC Adora (9/2017-2/2023)   Asymptotic dynamical organizations   Publications

Mastere M2:  "Mathématiques de la modélisation"

Some lecture notes are available here

INRIA team MAMBA  

A short-vitae                                                     My preprints  are on the open archiv  HAL

Research topics

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.

Mechanical models of tissue growth :    The degenerate Cahn-Hilliard equation, porous media flows, Hele-Shaw dynamics motivated living tissues.

Structured populations:     Age structured, polymerization processes by aggregation and fragmentation. Monge-Kantorovich distance.