The formation of spatiotemporal patterning in biology has intrigued experimentalists and
theoreticians for many generations. Here we present a brief review of some mathematical …

We consider a simple cell-chemotaxis model for spatial pattern formation on two-
dimensional domains proposed by Oster and Murray (1989, J. exp. Zool. 251, 186–202). We …

Chemotaxis is known to be important in cell aggregation in a variety of contexts. We propose
a simple partial differential equation model for a chemotactic system of two species, a …

There is an obvious case for studying bacteria. For example, bacteria are responsible for a
large number of diseases and they are responsible for most of the recycling that takes place …

We consider a cell-chemotaxis model which can generate spatially heterogeneous patterns
in cell density and chemoattractant. A local perturbation about the uniform steady state …

Reaction–diffusion and cell-chemotaxis mechanisms have been widely used as models for
biological pattern formation. Applications require the formation of specific patterns. Both …

Résumé One of the characteristics of biological systems is their ability to produce and
sustain spatial and spatio-temporal pattern. Elucidating the underlying mechanisms …

Ideas from the theory of dynamical systems are applied in biological pattern formation. By
considering a simple reaction-diffusion model subjected to an external excitation, we find …

The study of growth and form is central to the understanding of many areas in the physical,
chemical and biological sciences. D'Arcy Thompson was one of the key figures in the early …

Realistic pattern formation models in biology usually have several parameters. The
determination of sets of parameter values which generate specific patterns is not an easy …