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- W71707048 abstract "We develop a mathematical model describing the haptotactic migration of cells in a prenecrotic avascular tumour. Initially, the model which involves a moving boundary is developed for general threedimensional geometry and then modified for the specific multicell tumour spheroid geometry. A full nondimensionalisation is performed and the model is mapped to a fixed domain to facilitation numerical simulation. Numerically calculated solution profiles are then presented to provide predictions of the behaviour of cells in prenecrotic multicell tumour spheroids. Attention is paid to both passively migrating cells, and cells that respond to gradients in a simultaneously constructed extracellular matrix that is, cells that migrate haptotactically. The model solutions are used to propose biologically relevant hypotheses about the behaviour of cells in prenecrotic avascular tumours and the extracellular matrix in which they reside." @default.
- W71707048 created "2016-06-24" @default.
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- W71707048 date "2008-01-01" @default.
- W71707048 modified "2023-09-26" @default.
- W71707048 title "Haptotaxis in pre-necrotic avascular tumours" @default.
- W71707048 hasPublicationYear "2008" @default.
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