Journal
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
Volume 12, Issue 4, Pages 833-845Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10237-012-0447-y
Keywords
Lipid bilayers; Viscous membranes; Surface flow; Bending elasticity
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Funding
- NIGMS NIH HHS [R01 GM104979] Funding Source: Medline
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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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