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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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E. A. Gaffney More by this author
Publication date:
2009
URN:
uuid:6239df0a-a454-4c82-925c-1fc7569d2c95
Local pid:
oai:eprints.maths.ox.ac.uk:1370

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