Abstract
Anisotropic elasticity in the plane of the lipid membrane appears in a multitude of biophysical problems. It poses a major theoretical challenge due to the inherent curvature of fluid membranes which is coupled to the in-plane elastic deformations. Computer simulations by triangulated surfaces have proven to be very useful to resolve the complex interplay between in-plane ordering of membranes and membrane conformations. In the present work we have developed a procedure for realistic representations of Gaussian models with in-plane vector degrees of freedoms on a triangulated surface. The method opens possibilities for simulations of membranes for a variety of problems involving in-plane orientational degrees of freedoms and direct correspondence to continuum models.
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