- 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 ...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1017/S095679250100448X
-
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- Journal:
- EUROPEAN JOURNAL OF APPLIED MATHEMATICS
- Volume:
- 12
- Issue:
- 5
- Pages:
- 529-556
- Publication date:
- 2001-10-05
- DOI:
- EISSN:
-
1469-4425
- ISSN:
-
0956-7925
- URN:
-
uuid:1383b5d8-72d9-44c6-8668-306a285eec00
- Source identifiers:
-
506
- Local pid:
- pubs:506
- Language:
- English
- Copyright date:
- 2001
Journal article
Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular tumour
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