Concentration-curvature coupling in endocytosis,

The wrapping of symmetric particles by lipid bilayers depends on the membrane bending rigidity and the adhesion between the membrane and the particle. We consider the additional effects of a membrane composed of a binary lipid mixture. The different lipid components induce different spontaneous curvatures, which mediates the wrapping process through an induced phase separation near the particle-membrane contact region. We find that mixtures always enhance the wrapping. Asymptotic results are also found for the membrane shape in the limit of strong and weak spontaneous curvature-lipid concentration coupling.