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Haptotaxis in Tumour Growth and Invasion
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In this work, a number of mathematical models of§haptotactic cell migration are developed. These§models of haptotaxis are presented in two distinct§parts the first comprises an investigation of§haptotaxis in pre necrotic avascular tumours, while §the second consists of the modelling of§adhesion mediated haptotactic cell migration within§tissue, with particular attention paid to the§biological appropriateness of the description of§cell extracellular matrix adhesion. A model is§developed that describes the effects of passive and§active haptotactic migration on the cellular dynamics§and growth of pre necrotic avascular tumours. This§model is also extended to describe the§internalisation of labelled cells and inert§microspheres within multicell tumour spheroids. Also§presented is a novel model of adhesion receptor§mediated haptotactic cell migration. Specific§applications of the model to tumour invasion§processes are then discussed. This model includes a§more biologically realistic description of cell§adhesion than has been considered in previous models§of cell population haptotaxis.
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