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1 To live is to change and to be perfect is to have changed often Evil has no substance of its own but is only the defect excess perversion 1 or corruption of that which has substance. Medically a tumour may be de?ned as follows: A mass of tissue formed as the result of abnormal excessive and inapp- priate (i. e. purposeless) proliferation of cells the growth of which continues inde?nitely and regardless of the mechanisms which control normal cellular 2 proliferation In a very real sense a tumour lives to change and changes often in order to be perfect (from the point of view of the tumour itself). A tumour's successful growth and development depends crucially on its ability to proliferate exc- sively to undergo mutations to adapt to its local environment and to spread from its initial location in the host tissue to distant colonies elsewhere in the body. In this respect a malignant tumour (i. e. a cancer) is a paradigmatic microcosm for the whole of biology and o?ers applied mathematicians of all shapes and sizes (modellers applied analysts numerical analysts compu- tional scientists) many exciting and challenging problems. In the context of the current book perhaps one can trace the origins of 3 modellingsolidtumoursbacktotheseminalworkofGreenspan. Itgoeswi- out saying that since the publication of this paper in 1976 many things have 1 J. H. Newman 2 Muir'sTextbookofPathology 12thEdition(1985) Anderson J. R. Ed. E.

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