Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/15406
Title: 
A numerical simulation of avascular tumour growth
Authors: 
Issue Date: 
2005
Citation: 
Tan, L. S., & Ang, K. C. (2005). A numerical simulation of avascular tumour growth. Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM), 46(E), C902-C917.
Abstract: 
We develop and calibrate a mathematical model for avascular tumour
growth. The model is formulated as a set of partial differential
equations describing the spatia-temporal changes in cell concentrations
based on reaction-diffusion dynamics and the law of mass
conservation. Unlike existing models, the current model takes into
account the dependence of the cell proliferation rate on the growth
inhibiting factors secreted by necrotic cells; furthermore, the model
incorporates an element of random variation to the mitotic rate and
nutrient supply. The model is solved using standard finite difference
techniques. Results obtained from the simulation compare well with
published experimental data. The biological and clinical implications
of these results are also discussed.
URI: 
ISSN: 
1446-1811
Website: 
Appears in Collections:Journal Articles

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