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This review describes the analytical calculation of lateral pressure profilein lipid membrane with finite curvature. The derivation is based on thepreviously developed microscopic model of flexible strings [1,2]. According tothis theory the energy per unit chain is considered as energy of flexiblestring (Euler's elastic beam of finite thickness) and interaction betweenchains is considered as an entropic repulsion. This microscopic theory allowsto obtain expression for lateral pressure distribution in bent lipid membraneif treating a bending as a small deviation from the flat membrane conformationand using perturbation theory with small parameter L0J, where L0 is themonolayer thickness, J is mean curvature of membrane. Because lateral pressuredistribution is related to the elastic properties of lipid bilayer [3] thenfirst spontaneous moment of lateral pressure and the expression for bendingmodulus may be derived from this theoretical model. Finally, based onanalytical expression for the lateral pressure distribution in bent lipidmembrane one can obtain analytically the energy difference between two statesof mechanosensitive channel, particularly MscL [4, 5, 6]. Calculated expressiondepends on inter-facial surface tension, the channel area change in regionbetween hydrophobic interior and the aqueous surroundings and the bendingmodulus and spontaneous bending moment values.

Lateral pressure profile in lipid membranes with finite curvature and mechanosensitive channel gating