12–16 oct. 2026
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

Symmetry breaking in bacterial colonies in a kinetic reaction–transport model

13 oct. 2026, 11:00
45m
Amphithéâtre L. Schwartz - RdC - Bâtiment 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre L. Schwartz - RdC - Bâtiment 1R3

Institut de Mathématiques de Toulouse

1 R.3, Université Paul Sabatier, 118 Rte de Narbonne, 31400 Toulouse

Orateur

Maxime Estavoyer (Aix-Marseille Université)

Description

We study the emergence of symmetry breaking in expanding bacterial colonies in the presence of a localized prey. While colony expansion is typically radially symmetric, environmental interactions can induce anisotropic propagation patterns. We introduce a kinetic reaction–transport model for motile and proliferating bacteria, combining persistent motion, stochastic reorientation, and division at the microscopic scale. From this description, we derive macroscopic equations for the bacterial density, leading to a nonlinear system governing colony dynamics. We analyze front propagation through travelling wave solutions and associated spreading speeds. We show that the presence of a prey alters the effective transport and proliferation terms, resulting in changes in front speed and triggering a breakdown of radial symmetry. Our approach combines analytical results, numerical simulations, and experimental data at both the colony and single-cell scales.

This work is carried out in collaboration with Vincent Calvez.

Documents de présentation

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