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Journal article

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

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
MATHEMATICAL MODELS and METHODS IN APPLIED SCIENCES
Volume:
9
Issue:
4
Pages:
569-579
Publication date:
1999-06-01
DOI:
EISSN:
1793-6314
ISSN:
0218-2025
Source identifiers:
357251
Pubs id:
pubs:357251
UUID:
uuid:c8fede77-c397-4f6d-a8cd-0206d5d5b29a
Local pid:
pubs:357251
Deposit date:
2013-11-16

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