Recent theoretical advances in elasticity of membranes following Helfrich's spontaneous curvature model
arXiv:1405.0651 · doi:10.1016/j.cis.2014.01.008
Abstract
Recent theoretical advances in elasticity of membranes following Helfrich's famous spontaneous curvature model are summarized in this review. The governing equations describing equilibrium configurations of lipid vesicles, lipid membranes with free edges, and chiral lipid membranes are presented. Several analytic solutions to these equations and their corresponding configurations are demonstrated.
10 pages, 8 figures
References in corpus (8)
- Topological Defects in Spherical Nematics
- Geometric theory on the elasticity of bio-membranes
- Interface mediated interactions between particles -- a geometrical approach
- Geometry of surface mediated interactions
- Cylindrical equilibrium shapes of fluid membranes
- Vesicle shape, molecular tilt, and the suppression of necks
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Cited by in corpus (7)
- Newton-Cartan Submanifolds and Fluid Membranes
- Black Holes and Biophysical (Mem)-branes
- Application of Self-Consistent Field Theory to Self-Assembled Bilayer Membranes
- Construction of nuclear envelope shape by a high-genus vesicle with pore-size constraint
- General neck condition for the limit shape of budding vesicles
- Minimizing Configurations for Elastic Surface Energies with Elastic Boundaries
- Generalized Monge gauge