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Continuum approximations of individual-based models for epithelial monolayers

Abstract:

This work examines a 1D individual-based model (IBM) for a system of tightly adherent cells, such as an epithelial monolayer. Each cell occupies a bounded region, defined by the location of its endpoints, has both elastic and viscous mechanical properties and is subject to drag generated by adhesion to the substrate. Differential-algebraic equations governing the evolution of the system are obtained from energy considerations. This IBM is then approximated by continuum models (systems of part...

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Publisher copy:
10.1093/imammb/dqp015

Authors


Fozard, JA More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Jensen, OE More by this author
Journal:
Mathematical Medicine and Biology
Volume:
27
Issue:
1
Pages:
39-74
Publication date:
2009-07-17
DOI:
EISSN:
1477-8602
ISSN:
1477-8599
URN:
uuid:2470e708-8cef-4a05-932d-47d5cdbc4301
Source identifiers:
319119
Local pid:
pubs:319119

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