Lattice analogy of area-difference elasticity model for lipid-detergent bilayer vesiculation

The vesiculation process was examined in the lipid-detergent solution (dimyristoyl-sn-glycero-phoshatidylcholine/octaethylleneglycol n-dodecyl ether/water), using small-angle neutron scattering experiments \cite{1}. When observing vesiculation proceeds from rod-like micelles to unilamellar vesicles, the transformation is induced by jump-like temperature increase and a monotonic increase in detergent concentration. Our numerical estimations of the vesicle shape parameters (the elasticity coefficients and its fraction on a macroscopic scale) are based upon the area-difference elasticity model \cite{2, 3}. Thus, we composed the numerical Monte Carlo method, which connects the macroscopic and microscopic scales by the concept of self-avoiding random surfaces.