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Pattern formation in multiphase models of chemotactic cell aggregation

Abstract:

We develop a continuum model for the aggregation of cells cultured in a nutrient-rich medium in a culture well. We consider a two-dimensional geometry, representing a vertical slice through the culture well, and assume that the cell layer depth is small compared with the typical lengthscale of the culture well. We adopt a continuum mechanics approach, treating the cells and culture medium as a two-phase mixture. Specifically, the cells and culture medium are treated as fluids. Additionally, t...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1093/imammb/dqx005

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Department:
Linacre College
Role:
Author
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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Publisher:
Oxford University Press Publisher's website
Journal:
Mathematical Medicine and Biology Journal website
Volume:
35
Issue:
3
Pages:
319–346
Publication date:
2017-05-16
Acceptance date:
2017-03-16
DOI:
EISSN:
1477-8602
ISSN:
1477-8599
Pubs id:
pubs:691007
URN:
uri:d1980680-9716-4021-87bf-0d58522f2df7
UUID:
uuid:d1980680-9716-4021-87bf-0d58522f2df7
Local pid:
pubs:691007

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