A numerical method for osmotic water flow and solute diffusion with deformable membrane boundaries in two spatial dimension

Osmotic forces and solute diffusion are increasingly seen as playing a fundamental role in cell movement. Here, we present a numerical method that allows for studying the interplay between diffusive, osmotic and mechanical effects. An osmotically active solute obeys a advection–diffusion equation in...

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Bibliographic Details
Published in:Journal of computational physics Vol. 350; pp. 728 - 746
Main Authors: Yao, Lingxing, Mori, Yoichiro
Format: Journal Article
Language:English
Published: Cambridge Elsevier Inc 01.12.2017
Elsevier Science Ltd
Subjects:
Advection diffusion
Cartesian grid embedded boundary method
Computational physics
Deformation
Deformation mechanisms
Diffusion
Fluid structure interaction
Formability
Immersed boundary method
Numerical analysis
Numerical methods
Osmosis
Pressure
Water flow
Osmosis
Advection diffusion
Fluid structure interaction
Immersed boundary method
Cartesian grid embedded boundary method
ISSN:0021-9991, 1090-2716
Online Access:Get full text
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Summary:Osmotic forces and solute diffusion are increasingly seen as playing a fundamental role in cell movement. Here, we present a numerical method that allows for studying the interplay between diffusive, osmotic and mechanical effects. An osmotically active solute obeys a advection–diffusion equation in a region demarcated by a deformable membrane. The interfacial membrane allows transmembrane water flow which is determined by osmotic and mechanical pressure differences across the membrane. The numerical method is based on an immersed boundary method for fluid–structure interaction and a Cartesian grid embedded boundary method for the solute. We demonstrate our numerical algorithm with the test case of an osmotic engine, a recently proposed mechanism for cell propulsion.
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ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2017.09.006