University of Birmingham > Talks@bham > Mathematics Colloquium > Bacterial collective movement: patterns, pathways, scales, models

Bacterial collective movement: patterns, pathways, scales, models

Add to your list(s) Download to your calendar using vCal

  • UserProf. BenoĆ®t Perthame, Laboratoire J.-L. Lions, Universite P. et M. Curie, CNRS, UPD, INRIA de Paris
  • ClockWednesday 01 March 2017, 16:00-17:00
  • HouseLecture room A, Watson building.

If you have a question about this talk, please contact Simon Goodwin.

Cell communities exhibit remarkable patterns which result from complex and poorly understood mechanisms. The simplest of them are traveling pulses. Many partial differential equations have been proposed in this field and two classes are remarkable

- semilinear parabolic systems for the cell population density and the nutrients,

- Fokker-Planck equations as the famous Keller-Segel model for chemotaxis.

To go further, address finer experimental observations, fit precise measurements and understand the various scales, new classes of models have appeared. At the mesoscopic scale, they have been based on Boltzmann-kinetic models after the experimental observation of the run and tumble movement of bacteria. They are useful to include informations at the individual cell level through the tumbling kernel. They also allow to derive macroscopic models (at the population scale), as the Keller-Segel system, in the diffusion limit.

We will finally explain how the microscopic behavior of E. coli, and its modulation of the tumbles, can be explained using molecular pathways. This gives rise to the Flux Limited Keller-Segel equation in the diffusion limit. In opposition to the traditional Keller-Segel system, this new model can sustain robust traveling bands as observed in the famous experiment of Adler.

This talk is part of the Mathematics Colloquium series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on from the University of Cambridge.