Ever wondered what links the spots on a leopard, the invasion of the grey squirrel in the UK, and the spread of certain cancers?
Answer - They have all been modelled by mathematics. This talk will review the work of Alan Turing who, in 1952, proposed a number of ground-breaking ideas to account for how patterns occur in developmental biology. It will then show how a similar class of mathematical equations have been used to model how waves of invasion can arise in ecology and in disease. In the latter, for the case of tumour growth, it will be shown how the model suggests therapeutic strategies.