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Interaction between surface shape and intra-surface viscous flow on lipid membranes
Padmini Rangamani1, Ashutosh Agrawal, Kranthi K Mandadapu
1Department of Molecular and Cellular Biology, University of California, Berkeley, CA 94720, USA.
Abstract:
The theory of intra-surface viscous flow on lipid bilayers is developed by combining the equations for flow on a curved surface with those that describe the elastic resistance of the bilayer to flexure. The model is derived directly from balance laws and augments an alternative formulation based on a variational principle. Conditions holding along an edge of the membrane are emphasized, and the coupling between flow and membrane shape is simulated numerically.
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