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Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour

Abstract:

In this paper, we develop a mathematical model to describe interactions between tumour cells and a compliant blood vessel that supplies oxygen to the region. We assume that, in addition to proliferating, the tumour cells die through apoptosis and necrosis. We also assume that pressure differences within the tumour mass, caused by spatial variations in proliferation and degradation, cause cell motion. We couple the behaviour of the blood vessel into the model for the oxygen tension. The model ...

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Publication status:
Published

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Publisher copy:
10.1017/S095679250100448X

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
Volume:
12
Issue:
5
Pages:
529-556
Publication date:
2001-10-01
DOI:
EISSN:
1469-4425
ISSN:
0956-7925
Source identifiers:
506
Language:
English
Pubs id:
pubs:506
UUID:
uuid:1383b5d8-72d9-44c6-8668-306a285eec00
Local pid:
pubs:506
Deposit date:
2012-12-19

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