In this paper we examine spatio-temporal pattern formation in reaction-diffusion systems on
the surface of the unit sphere in 3D. We first generalise the usual linear stability analysis for …

In recent years, models for lattices of discrete cells have been attracting increased attention
due to their greater flexibility to represent signalling and contact-dependent cell-cell …

We consider the use of reaction-diffusion equations to model biological pattern formation
and describe the derivation of the reaction-terms for several illustrative examples. After a …

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

Understanding how structures (eg hair, teeth, feathers, limbs and pigmentation patterns)
arise from the initially unstructured fertilised egg is one of the key challenges in …

A spatially heterogeneous two component mixed quasimonotone system of reaction
diffusion equations is considered. The kinetic functions exhibit mixed quasimonotonicity and …