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Avascular tumour dynamics and necrosis

Abstract:

We consider the dynamic growth of a tumour, concentrating on the possible development of a necrotic region and examine some simple tumour geometries in detail. The growth and death rates of the cells in the viable rim of the tumour are taken to be determined by the local oxygen concentration. Crucially the cell motion is determined by the forces generated by cell affinity, by cell interaction and by the need to get the waste products of cell death, primarily water, out of the tumour and produ...

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Publication status:
Published

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Publisher copy:
10.1142/S0218202599000294

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Pettet, GJ More by this author
McElwain, DLS More by this author
Journal:
MATHEMATICAL MODELS and METHODS IN APPLIED SCIENCES
Volume:
9
Issue:
4
Pages:
569-579
Publication date:
1999-06-05
DOI:
EISSN:
1793-6314
ISSN:
0218-2025
URN:
uuid:c8fede77-c397-4f6d-a8cd-0206d5d5b29a
Source identifiers:
357251
Local pid:
pubs:357251

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