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A three phase model to investigate the effects of dead material on the growth of avascular tumours

Abstract:

In vivo tumours are highly heterogeneous entities which often comprise intratumoural regions of hypoxia and widespread necrosis. In this paper, we develop a new three phase model of nutrient-limited, avascular tumour growth to investigate how dead material within the tumour may influence the tumour’s growth dynamics. We model the tumour as a mixture of tumour cells, dead cellular material and extracellular fluid. The model equations are derived using mass and momentum balances for each phase ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1051/mmnp/2019039

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-0919-4537
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St John's College
Role:
Author
ORCID:
0000-0002-0146-9164
Publisher:
EDP Sciences Publisher's website
Journal:
Mathematical Modelling of Natural Phenomena Journal website
Volume:
15
Issue:
1
Article number:
22
Publication date:
2020-03-18
Acceptance date:
2019-09-02
DOI:
EISSN:
1760-6101
ISSN:
0973-5348
Source identifiers:
1053421
Language:
English
Keywords:
Pubs id:
pubs:1053421
UUID:
uuid:1be2438b-2403-4cca-a5e3-cb0717b985cb
Local pid:
pubs:1053421
Deposit date:
2019-09-15

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