Abstract
The Turing reaction-diffusion model serves as a paradigm model for self-organised pattern formation in biology. We will present the background to this modelling approach and illustrate some of its successes and failures. Then we will consider its behaviour under domain growth, with particular emphasis on robustness, and the effects of noise. Application to areas such as pigmentation patterning in butterflies, ligament development in bivalues, and limb development in mouse will be discussed.