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Mathematical modelling of cilia-driven transport of biological fluids

Abstract:

Cilia-driven flow occurs in the airway surface liquid, in the female and male reproductive tracts and enables symmetry-breaking in the embryonic node. Viscoelastic rheology is found in healthy states in some systems, whereas in others may characterise disease, motivating the development of mathematical models that take this effect into account. We derive the fundamental solution for linear viscoelastic flow, which is subsequently used as a basis for slender-body theory. Our numerical algorith...

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Publication status:
Published

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Publisher copy:
10.1098/rspa.2009.0018

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume:
465
Issue:
2108
Pages:
2417-2439
Publication date:
2009-08-08
DOI:
EISSN:
1471-2946
ISSN:
1364-5021
URN:
uuid:4b31bbcb-509c-4713-ba72-89c84d55a378
Source identifiers:
4491
Local pid:
pubs:4491

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