| ABSTRACT:
Mathematical medical sciences is a growing area of interest, particularly
with many diseases reaching epidemic levels such as diabetes, cancer, heart
disease and many more, and the associated rising costs to society.
Cancer is largely becoming a major concern to modern society with ways
of treating it and even preventing it making up large areas of research. Some
of the key issues relating to cancer growth and its treatment can be addressed
through the use of mathematical modelling.
The intended field of research is aimed to provide insight into the link
between medical science and mathematical modelling. This research project
will develop mathematical models based on applied and numerical
techniques to address areas of cancer growth that, as of yet, have not been
analysed in a mathematical sense. Some of the key areas of interest will
be using mathematical modelling to analyse the effects of interference of
certain growth factors, such as insulin-like growth factors, on cancer growth
along with the interactions that may form between these growth factors and
chemicals released by the cancer cells. The research will also aim to
address issues such as the generality of some of the current models and the
limitations on computer simulations.
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