Challenges in theoretical investigations on configurations of lipid membranes

Abstract

This review reports some key results in theoretical investigations on configurations of lipid membranes and presents several challenges in this field which involve (i) exact solutions to the shape equation of lipid vesicles; (ii) exact solutions to the governing equations of open lipid membranes; (iii) neck condition of two-phase vesicles in the budding state; (iv) nonlocal theory of membrane elasticity; (v) relationship between symmetry and the magnitude of free energy.

Chin. Phys. B 22, 028701 (2013)

References in corpus (4)

• Geometric theory on the elasticity of bio-membranes
• Cylindrical equilibrium shapes of fluid membranes
• Compatibility between shape equation and boundary conditions of lipid membranes with free edges
• Periodic-cylinder vesicle with minimal energy

Cited by in corpus (4)

• Recent theoretical advances in elasticity of membranes following Helfrich's spontaneous curvature model
• Finite Element Approximation for the Dynamics of Fluidic Two-Phase Biomembranes
• Gradient flow dynamics of two-phase biomembranes: Sharp interface variational formulation and finite element approximation
• Structure preserving discretisations of gradient flows for axisymmetric two-phase biomembranes