Workshop - Problèmes mathématiques et modélisation en théorie cinétique

Benoît Perthame

Kinetic equations for bacterial movment

Growth and self-organisation of bacterial colonies is of paramount importance in life sciences (biofilms, bacterial invasions). At the individual scale, bacteria as E. coli or B. subtilis perform so-called run-and-tumble movments. This means that they alternate a run phase (or jump) followed by fast re-organization phase (tumble) in which they decide of a new direction for run. For this reason, the population is described by a kinetic equation of scattering type where the tumbling kernel is modelated by the intra-cellular state and the extra-cellular environment.

However, on-going experimental devices exhibit new behaviours and lead to new modeling questions. This talk will present some aspects of the modeling, the connection between models, some qualitative behaviours and quantitative fitting with experiments.

Partenaires

Irmar LMJL ENS Rennes LMBA LAREMA

Tutelles

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL