title: Traveling Pulses for a Two-Species Chemotaxis Model.
abstract: Mathematical models have been widely used to describe the collective movement of bacteria by chemotaxis. In particular, bacterial concentration waves traveling in a narrow channel have been experimentally observed and can be precisely described thanks to a mathematical model at the macroscopic scale. Such model was derived in [1] using a kinetic model based on an accurate description of the mesoscopic run-and-tumble process. We extend this approach to study the behavior of the interaction between two populations of E. Coli. Separately, each population travels with its own speed in the channel. When put together, a synchronization of the speed of the traveling pulses can be observed. We show that this synchronization depends on the fraction of the fast population. Our approach is based on mathematical analysis of a macroscopic model of partial differential equations. Numerical simulations in comparison with experimental observations show qualitative agreement.
authors.affiliation: Sorbonne Universités, UPMC Univ Paris 06, CNRS, INRIA, UMR 7598, Laboratoire Jacques-Louis Lions, Equipe MAMBA, Paris, France.
authors.forename: Casimir
authors.initials: C
authors.lastname: Emako
authors.affiliation: Institut Jacques Monod - UMR 7592, CNRS Université Denis Diderot, Paris, France.
authors.forename: Charlène
authors.initials: C
authors.lastname: Gayrard
authors.affiliation: Laboratoire Physico-chimie Curie, Institut Curie, PSL Research University, UPMC Univ. Paris 6, CNRS UMR 168, Paris, France.
authors.forename: Axel
authors.initials: A
authors.lastname: Buguin
authors.affiliation: CNRS, Sorbonne Universités, UPMC Univ Paris 06, INRIA, UMR 7598, Laboratoire Jacques-Louis Lions, Equipe MAMBA, Paris, France.
authors.forename: Luís
authors.initials: L
authors.lastname: Neves de Almeida
authors.affiliation: Sorbonne Universités, UPMC Univ Paris 06, CNRS, INRIA, UMR 7598, Laboratoire Jacques-Louis Lions, Equipe MAMBA, Paris, France.
authors.forename: Nicolas
authors.initials: N
authors.lastname: Vauchelet
mesh_terms: D018407:Bacterial Physiological Phenomena; D002633:Chemotaxis / Q000502:physiology*; D019295:Computational Biology; D003198:Computer Simulation; D004926:Escherichia coli / Q000502:physiology; D007700:Kinetics; D018715:Microscopy, Video; D008954:Models, Biological