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Haptotaxis in Pre-necrotic Avascular Tumours

Mallet, Daniel G. & Pettet, Graeme J. (2008) Haptotaxis in Pre-necrotic Avascular Tumours. In Wilson, Lachlan B. (Ed.) Mathematical Biology Research Trends. Nova Science Publishers, Hauppauge, NY.

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.

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ID Code: 9468
Item Type: Book Chapter
Additional Information: For more information about this book please refer to the publisher's website (see link) or contact the author.
Additional URLs:
Keywords: mathematical model, haptotaxis, multicell tumour spheroid
ISBN: 9781604561418
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Biological Mathematics (010202)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2008 Nova Science Publishers
Deposited On: 13 Sep 2007
Last Modified: 01 Mar 2012 00:12

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