Recent theoretical advances in elasticity of membranes following Helfrich's spontaneous curvature model

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 presente...

Full description

Saved in:
Bibliographic Details
Published in:Advances in colloid and interface science 2014-06, Vol.208, p.66-75
Main Authors: Tu, Z.C., Ou-Yang, Z.C.
Format: Article
Language:English
Subjects:
Algorithms
Analytic solution
Animals
Biomimetics - methods
Biomimetics - trends
Biophysical Phenomena
Cell Membrane - chemistry
Chemistry
Colloidal state and disperse state
Curvature
Elasticity
Elasticity of membrane
Exact sciences and technology
General and physical chemistry
Governing equation
Helfrich's spontaneous curvature model
Humans
Lipid Bilayers - chemistry
Lipids
Mathematical analysis
Mathematical models
Membrane Fluidity
Membranes
Membranes, Artificial
Models, Biological
Spontaneous
Surface Properties
Vesicles
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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. [Display omitted] •We review the recent advances in elasticity of membranes following Helfrich's model.•We present the shape equation of lipid vesicles and its special solutions.•We show the governing equations of open lipid membranes and a theorem of nonexistence.•Three types of theoretical investigations on chiral lipid membranes are introduced.
ISSN:0001-8686
1873-3727
DOI:10.1016/j.cis.2014.01.008