While major advances have been made in the area of cancer research
over the last few decades, certain aspects of the avascular tumour
growth processes remain poorly understood. The mathematical model
discussed in this monograph therefore provides a more biologically
realistic description of avascular tumour growth by taking into
account stochastic cellular and extracellular tumour growth
processes. The discussion is presented in two distinct parts- the
first comprises the construction of a model for avascular tumour
growth with random variation, while the second consists of refining
the approach to develop a stochastically perturbed avascular tumour
model. A numerical solution method was also developed to solve the
model with stochastic perturbation, producing a reasonable set of
solution results. The model results has shown a reasonably good fit
for published experimental data. Convergence analysis of the model
solution was also investigated. Mathematical modelling has helped
develop a more reasonable approximation to the biological model,
and should be especially useful to graduate students and
researchers in Mathematics and Biological fields.
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