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Boundary-value problems in the theory of lipid membranes
Authors:Ashutosh Agrawal  David J Steigmann
Institution:(1) Department of Civil and Environmental Engineering, University of California, Berkeley, CA 94720, USA;(2) Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA
Abstract:General contact conditions are developed for lipid membranes interacting with curved substrates along their edges. These include the anchoring conditions familiar from liquid-crystal theory and accommodate non-uniform membranes and non-uniform adhesion between a bulk fluid or membrane and a rigid substrate. The theory is illustrated through explicit solutions and numerical simulations.
Keywords:Lipid membranes  Bilayers  Anchoring conditions  Adhesion
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