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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

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
Journal of mathematical biology
Volume:
40
Issue:
6
Pages:
473-499
Publication date:
2000-06-05
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
URN:
uuid:e6669106-99af-4d77-a297-ae99bb71faf1
Source identifiers:
319135
Local pid:
pubs:319135

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