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Monolayer slip effects on the dynamics of a lipid bilayer vesicle in a viscous flow

Published online by Cambridge University Press:  18 March 2010

JONATHAN T. SCHWALBE ,
PETIA M. VLAHOVSKA  and
MICHAEL J. MIKSIS
JONATHAN T. SCHWALBE
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60202, USA
PETIA M. VLAHOVSKA
Affiliation:
Thayer School of Engineering, Dartmouth College, Hanover, NH 03755, USA
MICHAEL J. MIKSIS*
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60202, USA
*
†Email address for correspondence: miksis@northwestern.edu
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Abstract

The dynamics of a closed lipid bilayer membrane (a vesicle) in a linear viscous flow is investigated. The model accounts for the transport of lipids along each monolayer and intermonolayer friction, as well as the membrane fluidity, incompressibility and resistance to bending. Assuming a nearly spherical vesicle, the leading order analysis results in a nonlinear coupled system of equations for the dynamics of the shape and the bilayer density difference. Multiple solution states are found as a function of viscosity ratio and the monolayer slip coefficient. The dynamics and stability of these solutions is discussed.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 647: Dedicated to Professor S. H. Davis on his 70th birthday , 25 March 2010 , pp. 403 - 419
Copyright
Copyright © Cambridge University Press 2010

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