Kinetic models for bacterial chemotaxis
Duration: 40 mins 8 secs
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About this item
| Description: |
Calvez, V (École Normale Supérieure)
Wednesday 08 September 2010, 16:10-16:50 |
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| Created: | 2010-09-13 13:33 | ||||
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| Collection: | Partial Differential Equations in Kinetic Theories | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Calvez, V | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | In this talk we discuss kinetic models for self-organization of cells. The framework is the Othmer-Dunbar-Alt model. It describes a velocity-jump process accounting for the motion of cells (e.g. bacteria) biased by a chemical signal. Several behaviours can be observed, ranging from blow-up in finite time to propagation of traveling waves. Blow-up is proved for a specific choice of the model under radial symmetry. The issue of traveling bands of bacteria is addressed through a more involved model. Comparison to experimental data is also discussed. This is a joint work with N. Bournaveas (Univ. Edinburgh), B. Perthame (Univ. Paris 6 "Pierre & Marie Curie"), and A. Buguin, J. Saragosti, P. Silberzan (Institut Curie, Paris). |
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