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Analysis of a tumour growth model with MATLAB
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Paper presented at the 14th Asian Technology Conference in Mathematics(2009), Beijing, China, 17 – 21 December 2009
Mathematical modelling can play a very important role in cancer research. In particular,
modelling the growth of tumour has the potential of shedding light on the mechanisms
of tumour cell growth and proliferation. In this paper, we examine and analyze one such
model with the aid of MATLAB.
The model, first proposed by Sherratt and Chaplain in 2001, is based on a set of partial
differential equations. The equations describe the growth, movement and death of tumour
cells, accompanied by a supply of nutrients. This spatial-temporal model depends on a
number of parameter values as well as rate functions. The model is solved numerically
using finite difference method implemented on MATLAB. Effects and influence of the
parameter values and rate functions are analyzed. Results are validated against a set of
known experimental data, and good agreement is observed.
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