2016/07/07 by А. А. Дроздова, Drozdova, Anna A.
Biochemistry, Genetics and Molecular Biology · Engineering · #ATP Synthase and ATPases Research #FOS: Physical sciences #Lipid Membrane Structure and Behavior #Nanopore and Nanochannel Transport Studies #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.1607.01927
openalex publication_date 2016/07/07 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
This review describes the analytical calculation of lateral pressure profile\nin lipid membrane with finite curvature. The derivation is based on the\npreviously developed microscopic model of flexible strings [1,2]. According to\nthis theory the energy per unit chain is considered as energy of flexible\nstring (Euler's elastic beam of finite thickness) and interaction between\nchains is considered as an entropic repulsion. This microscopic theory allows\nto obtain expression for lateral pressure distribution in bent lipid membrane\nif treating a bending as a small deviation from the flat membrane conformation\nand using perturbation theory with small parameter L0J, where L0 is the\nmonolayer thickness, J is mean curvature of membrane. Because lateral pressure\ndistribution is related to the elastic properties of lipid bilayer [3] then\nfirst spontaneous moment of lateral pressure and the expression for bending\nmodulus may be derived from this theoretical model. Finally, based on\nanalytical expression for the lateral pressure distribution in bent lipid\nmembrane one can obtain analytically the energy difference between two states\nof mechanosensitive channel, particularly MscL [4, 5, 6]. Calculated expression\ndepends on inter-facial surface tension, the channel area change in region\nbetween hydrophobic interior and the aqueous surroundings and the bending\nmodulus and spontaneous bending moment values.\n