Recent theoretical advances in elasticity of membranes following   Helfrich's spontaneous curvature model
  Recent theoretical advances in elasticity of membranes following Helfrich's famous spontaneous curvature model are summarized in this review. The governing equations describing equilibrium configurations of lipid vesicles, lipid membranes with free edges, and chiral lipid membranes are presented. Several analytic solutions to these equations and their corresponding configurations are demonstrated. 
Z. C. Tu and Z. C. Ou-Yang
cond-mat.soft math-ph math.DG math.MP physics.bio-ph