  A theory and computational method are provided for the calculation of lipid
membranes elastic parameters, which overcomes the difficulties of the existing
approaches and can be applied not only to single-component but also to
multi-component membranes. It is shown that the major elastic parameters can be
determined as the derivatives of the stress-profile moments with respect to
stretching. The more general assumption of the global incompressibility,
instead of the local one, is employed, which allows the measurement of the
local Poisson's ratio from the response of the stress profile to the isotropic
ambient pressure. In the case of the local incompressibility and quadratic
energy law, a direct relation between the bending modulus and Gaussian
curvature modulus is established.
