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University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Aggregation of bacteria by chemotaxis: mathematical and numerical analysis

## Aggregation of bacteria by chemotaxis: mathematical and numerical analysisAdd to your list(s) Download to your calendar using vCal - Nicolas Vauchelet (Univ. Paris 13)
- Thursday 24 November 2016, 14:00-15:00
- CMS, MR5.
If you have a question about this talk, please contact Ariane Trescases. Chemotaxis is the phenomenon by which cells direct their motion according to a chemical present in their environment. In the case of positive chemotaxis, strong aggregation may occur that create patch. From a mathematical point of view, it leads to the study of the so-called aggregation equation which describes the interaction through a potential. Such model can be derived thanks to a hyperbolic limit of kinetic equations modeling the run-and-tumble process of bacteria. In this case the interacting potential is pointy, then solutions of aggregation equation may blow-up in finite time. In this work, we propose to study the existence of weak measure solutions for such aggregation equation, which allows to define solutions beyond the blow-up time. Our approach is based on the definition of weak measure solutions for transport equation with discontinuous coefficients. Then we investigate its numerical simulations and propose a numerical analysis. This talk is part of the Geometric Analysis and Partial Differential Equations seminar series. ## This talk is included in these lists:- All CMS events
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