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Multiphase modelling of vascular tumour growth in two spatial dimensions

Abstract:

In this paper we present a continuum mathematical model of vascular tumour growth which is based on a multiphase framework in which the tissue is decomposed into four distinct phases and the principles of conservation of mass and momentum are applied to the normal/healthy cells, tumour cells, blood vessels and extracellular material. The inclusion of a diffusible nutrient, supplied by the blood vessels, allows the vasculature to have a nonlocal influence on the other phases. Two-dimensional c...

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M. E. Hubbard More by this author
H. M. Byrne More by this author
Publication date:
2012
URN:
uuid:c4d420f3-e273-44d9-b14c-eafec78ea564
Local pid:
oai:eprints.maths.ox.ac.uk:1519

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