Cover pieture: A model based on a system of reaction-diffusion equations has been suggested by the author ofthis book to explain how the coat markings on the leopard and other mamma!s are generated. In this book, he gives a whole range of anima! patterning examples -from the stripes on the zebra to the eyespots on the wings ofbutterflies -to demonstrate the wide applicability ofsuch models.

We have extended a mathematical model of gliomas based on proliferation and diffusion rates to incorporate the effects of augmented cell motility in white matter as compared to grey matter. Using a detailed mapping of the white and grey matter in the brain developed for a MRI simulator, we have been able to simulate model tumours on an anatomically accurate brain domain. Our simulations show good agreement with clinically observed tumour geometries and suggest paths of submicroscopic tumour invasion not detectable on CT or MRI images. We expect this model to give insight into microscopic and submicroscopic invasion of the human brain by glioma cells. This method gives insight in microscopic and submicroscopic invasion of the human brain by glioma cells. Additionally, the model can be useful in defining expected pathways of invasion by glioma cells and thereby identify regions of the brain on which to focus treatments.

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