Recent theoretical advances in elasticity of membranes following Helfrich's spontaneous curvature model
Z. C. Tu, Z. C. Ou-Yang
TL;DR
This review summarizes recent theoretical progress in membrane elasticity based on Helfrich's spontaneous curvature model, including governing equations, analytic solutions, and membrane configurations.
Contribution
It compiles recent advances in the theoretical understanding of membrane elasticity following Helfrich's model, highlighting new equations and solutions.
Findings
Governing equations for various membrane types are presented
Analytic solutions to membrane equilibrium configurations are demonstrated
Configurations of lipid vesicles and chiral membranes are summarized
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.
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