Abstract
The influence of the molecular asymmetry on the elastic and flexoelectric properties of bilayer lipid membranes is studied. At first a definition of the lipid asymmetry is introduced. Then an expression for the elastic energy of a monolayer of asymmetrical molecules is proposed and the curvature elasticity of bilayer lipid membrane is studied on such a basis. Formulas for the equilibrium curvature of a membrane are obtained at equal and different asymmetries of the two monolayers. After that the lipid distribution between two monolayers of a deformed membrane is studied and expressions for curvature-induced polarization are obtained. Finally the flexoelectric coefficient of a lecithin-cholesterol membrane is determined

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