Elasticity of Open Lipid Membranes
The opening-up process of lipid bilayers by talin was observed by Saitoh et al. arose the interest of studying the equilibrium shape equation and boundary conditions of lipid bilayers with free exposed edges. Capovilla et al., Tu and Ou-Yang carefully studied this problem. The free energy of a lipid membrane with an edge is written as
(5)where and represent the arclength element and the line tension of the edge, respectively. The first order variation gives the shape equation and boundary conditions of the lipid membrane:
(6) (7) (8) (9)where, and are normal curvature, geodesic curvature, and geodesic torsion of the boundary curve, respectively. is the unit vector perpendicular to the tangent vector of the curve and the normal vector of the membrane.
Read more about this topic: Elasticity Of Cell Membranes
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