Analytical calculation of the lipid bilayer bending modulus

Bending and Gaussian moduli of a homogenious single-component lipid bilayer are calculated analytically using microscopic model of the lipid hydrocarbon chains. The approach allows for thermodynamic averaging over different chains conformations. Each chain is modeled as a flexible string with finite...

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Published in:Physical review. E 2016-10, Vol.94 (4-1), p.042415-042415, Article 042415
Main Authors: Kheyfets, Boris, Galimzyanov, Timur, Drozdova, Anna, Mukhin, Sergei
Format: Article
Language:English
Subjects:
Elasticity
Lipid Bilayers - chemistry
Models, Biological
Molecular Conformation
Thermodynamics
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description Bending and Gaussian moduli of a homogenious single-component lipid bilayer are calculated analytically using microscopic model of the lipid hydrocarbon chains. The approach allows for thermodynamic averaging over different chains conformations. Each chain is modeled as a flexible string with finite bending rigidity and an incompressible cross-section area. The interchain steric repulsion is accounted for self-consistently determined single-chain confining parabolic potential. The model provides a simple analytical expression for the membrane bending modulus, which falls within a range of experimental values. An observed dependence of the modulus on hydrocarbon chain length is also reproduced. Correspondence between our microscopic model and the membrane theory of elasticity is established.
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subjects Elasticity
Lipid Bilayers - chemistry
Models, Biological
Molecular Conformation
Thermodynamics
title Analytical calculation of the lipid bilayer bending modulus
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