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Modelling the early growth of ductal carcinoma in situ of the breast.

Abstract:

The growth of a tumour in a rigid walled cylindrical duct is examined in order to model the initial stages of tumour cell expansion in ductal carcinoma in situ (DCIS) of the breast. A nutrient-limited growth model is formulated, in which cell movement is described by a Stokes flow constitutive relation. The effects on the shape of the tumour boundary of the material properties (i.e. the viscosity) and the extent to which the cells adhere to the duct wall are studied using numerical and asympt...

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Publication status:
Published

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Publisher copy:
10.1007/s00285-003-0214-x

Authors


Franks, SJ More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Underwood, JC More by this author
Journal:
Journal of mathematical biology
Volume:
47
Issue:
5
Pages:
424-452
Publication date:
2003-11-05
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
URN:
uuid:b6869d77-fd2d-485e-a464-c7da011c5ed5
Source identifiers:
319095
Local pid:
pubs:319095

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