Helfrich model of membrane bending: From Gibbs theory of liquid interfaces to membranes as thick anisotropic elastic layers

Felix Campelo, Clement Arnarez, Siewert J. Marrink*, Michael M. Kozlov

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

76 Scopus citations

Abstract

Helfrich model of membrane bending elasticity has been most influential in establishment and development of Soft-Matter Physics of lipid bilayers and biological membranes. Recently, Helfrich theory has been extensively used in Cell Biology to understand the phenomena of shaping, fusion and fission of cellular membranes. The general background of Helfrich theory on the one hand, and the ways of specifying the model parameters on the other, are important for quantitative treatment of particular biologically relevant membrane phenomena. Here we present the origin of Helfrich model within the context of the general Gibbs theory of capillary interfaces, and review the strategies of computing the membrane elastic moduli based on considering a lipid monolayer as a three-dimensional thick layer characterized by trans-monolayer profiles of elastic parameters. We present the results of original computations of these profiles by a state-of-the-art numerical approach.

Original languageEnglish
Pages (from-to)25-33
Number of pages9
JournalAdvances in Colloid and Interface Science
Volume208
DOIs
StatePublished - Jun 2014

Funding

FundersFunder number
Joseph Klafter Chair in Biophysics
Israel Science Foundation758/11

    Keywords

    • Curvature
    • Membrane elasticity
    • Molecular dynamics
    • Surface thermodynamics
    • Trans-monolayer elasticity profile

    Fingerprint

    Dive into the research topics of 'Helfrich model of membrane bending: From Gibbs theory of liquid interfaces to membranes as thick anisotropic elastic layers'. Together they form a unique fingerprint.

    Cite this