A simple microscopic model for amphiphilic molecules dissolved in wate
r allows us to obtain within the same scheme the molecular structure o
f membranes and micelles, the equilibrium thermodynamics for these agg
regates and the elastic constants of the membranes. We present a study
of vesicles with cylindrical geometry which, joined to previous resul
ts for spherical vesicles, gives the saddle-splay modulus and the bend
ing rigidity. Finally, the constraint on the exchange of molecules bet
ween the inner and the outer monolayers is included in the model, calc
ulating the nonlocal bending curvature. (C) 1998 American Institute of
Physics. [S0021-9606(98)70830-X].