Mesoscopic and Macroscopic Models for Collective Motion of Micro-organisms
Speaker
Vincent Calvez, CNRS, Institut Camille Jordan, Lyon, France
Time
2021-03-16 16:00, in 3 days
Venu
Online——ZOOM
ZOOM INFO

    ZOOM Link: https://zoom.com.cn/j/61342294626
    Conference ID: 613-422-94626
    Password: 243998

Abstract

I will present some past and recent works about waves of micro-organisms in response to self-generated gradients. I will describe two case studies, involving the bacteria Escherichia coli and the amoeboid Dictyostelium discoideum. The former species can travel collectively in a remarkable solitary wave at constant speed and constant shape, in response to chemical stimuli, e.g. nutrient and communication signals. The later species can migrate in rings over long time in response to the lack of oxygen depleted by the cell population. I will present a pair of simple macroscopic PDE models that can capture the basic features of this couple of waves, and are amenable to mathematical analysis. I will also present some extensions at the mesoscopic level, for a better understanding of collective migration.

Bio

Prof. Vincent Calvez, a research director at CNRS, Institute Camille Jordan, Lyon, France. He is working on mathematical biology since my master's degree. He did his PhD under the supervision of Benoit Perthame at Université Pierre et Marie Curie (now Sorbonne Université). He studies mainly collective motion of cells (parabolic and kinetic PDE), dynamics of species invasion (reaction-diffusion and reaction-transport equations), and evolutionary biology (integro-differential and Hamilton-Jacobi equations). He is particularly interested in long-time dynamics (patterns, traveling waves, small variance asymptotics). He was awarded one of the 10th European Mathematical Society prizes in Berlin, 2016.
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