Haptotaxis in Pre-necrotic Avascular Tumours
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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|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.|
|Keywords:||mathematical model, haptotaxis, multicell tumour spheroid|
|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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