A quantitative contour analysis of axisymmetric vesicles spontaneously adhering onto a substrate

The determination of membrane-substrate profile for adherent vesicle using confocal reflectance interference contrast microscopy (C-RICM) has pushed for the need of advanced mechanics model for interpreting adhesion mechanisms. In this work, a model for vesicles or cells adhesion is established, the governing equation is derived from the variation of the potential energy at the cohesive zone. A closed-form solution is found for vesicle spontaneously adheres to a substrate when its shear modulus, micro vanishes. Based on the model and C-RICM experiments the magnitude of the adhesion force is calculated for a lipid vesicle adheres to a glass substrate.