title: Aggregation of chemotactic organisms in a differential flow.
abstract: We study the effect of advection on the aggregation and pattern formation in chemotactic systems described by Keller-Segel-type models. The evolution of small perturbations is studied analytically in the linear regime complemented by numerical simulations. We show that a uniform differential flow can significantly alter the spatial structure and dynamics of the chemotactic system. The flow leads to the formation of anisotropic aggregates that move following the direction of the flow, even when the chemotactic organisms are not directly advected by the flow. Sufficiently strong advection can stop the aggregation and coarsening process that is then restricted to the direction perpendicular to the flow.
authors.affiliation: Complex and Adaptive Systems Laboratory, Systems Biology Ireland, School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland. javiermunozgarcia@gmail.com
authors.forename: Javier
authors.initials: J
authors.lastname: Muñoz-García
authors.forename: Zoltán
authors.initials: Z
authors.lastname: Neufeld
mesh_terms: D002449:Cell Aggregation / Q000502:physiology*; D002633:Chemotaxis / Q000502:physiology*; D003198:Computer Simulation; D040542:Mechanotransduction, Cellular / Q000502:physiology*; D008954:Models, Biological; D012212:Rheology / Q000379:methods*