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A new approach to modelling the formation of necrotic regions in tumours

Abstract:

We present a mathematical model of the growth of tumours. The cells in the tumour are taken to proliferate and die at rates determined by the concentration of oxygen which diffuses into the tumour across its surface. Tumour cells are assumed to be composed primarily of water while the extracellular water is taken to move through the tumour as a porous media flow between the cells. Exchange of water between the two is governed by cell proliferation. We model the mass of cells as an inviscid fl...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Journal:
APPLIED MATHEMATICS LETTERS
Volume:
11
Issue:
3
Pages:
89-94
Publication date:
1998-05-05
DOI:
ISSN:
0893-9659
URN:
uuid:8b795614-ef11-4bdf-962d-5d62bd469fbe
Source identifiers:
357253
Local pid:
pubs:357253

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