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A mathematical model of the stress induced during avascular tumour growth.

Abstract:

In this paper a mathematical model is developed to describe the effect of nonuniform growth on the mechanical stress experienced by cells within an avascular tumour. The constitutive law combines the stress-strain relation of linear elasticity with a growth term that is derived by analogy with thermal expansion. To accommodate the continuous nature of the growth process, the law relates the rate of change of the stress tensor to the rate of change of the strain (rather than relating the stres...

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Publication status:
Published

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Publisher copy:
10.1007/s002850000033

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Journal of mathematical biology
Volume:
40
Issue:
6
Pages:
473-499
Publication date:
2000-06-01
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
Source identifiers:
319135
Language:
English
Keywords:
Pubs id:
pubs:319135
UUID:
uuid:e6669106-99af-4d77-a297-ae99bb71faf1
Local pid:
pubs:319135
Deposit date:
2012-12-19

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