title: Steady-state spatial patterns in a cell-chemotaxis model.
abstract: We investigate a simple cell-chemotaxis model for the generation of spatial patterns in cell aggregations. For simple boundary-value problems, we analyse the local and global bifurcation of spatially heterogeneous patterns away from the uniform equilibria as the total number of cells is varied. We also discuss the existence of periodic spatially structured solutions for the cells and chemoattractant in the infinite domain.
authors.affiliation: Centre for Mathematical Biology, Mathematical Institute, Oxford, UK.
authors.forename: P
authors.initials: P
authors.lastname: Grindrod
authors.forename: J D
authors.initials: JD
authors.lastname: Murray
authors.forename: S
authors.initials: S
authors.lastname: Sinha
mesh_terms: D000818:Animals; D002468:Cell Physiological Phenomena; D002633:Chemotaxis; D007700:Kinetics; D008433:Mathematics; D008962:Models, Theoretical; D013997:Time Factors