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A cellular automaton model for tumour growth in inhomogeneous environment

Abstract:

Most of the existing mathematical models for tumour growth and tumour-induced angiogenesis neglect blood flow. This is an important factor on which both nutrient and metabolite supply depend. In this paper we aim to address this shortcoming by developing a mathematical model which shows how blood flow and red blood cell heterogeneity influence the growth of systems of normal and cancerous cells. The model is developed in two stages. First we determine the distribution of oxygen in a native va...

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Publication date:
2003-01-01
UUID:
uuid:ac580a53-d17d-4139-ac89-128f106ade74
Local pid:
oai:eprints.maths.ox.ac.uk:371
Deposit date:
2011-05-19

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