Bacterial collective movement: patterns, pathways, scales, models

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• Prof. Benoît Perthame, Laboratoire J.-L. Lions, Universite P. et M. Curie, CNRS, UPD, INRIA de Paris
• Wednesday 01 March 2017, 16:00-17:00
• Lecture Theater A, Watson Building.

If you have a question about this talk, please contact Dr. Maria Carmen Reguera.

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.

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Lecture Theater A, Watson Building
• School of Mathematics events

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