A formula for membrane mediated point particle interactions on near spherical biomembranes

We consider a model of biomembrane with attached proteins. The membrane is represented by near spherical continuous surface and proteins are described as discrete rigid structures which attach to the at finite number points. resulting minimises quadratic elastic energy (obtained perturbation Canham–Helfrich energy) subject point constraints imposed attachment calculate derivative respect protein configurations. constrained move tangentially translation rotation in axis normal reference point. Previous studies have typically restricted themselves nearly flat circular inclusions. A numerically accessible representation this derived employed some numerical experiments.