Abstract
The existence of a transendothelial channel, which is considered to be involved in specific of macromolecules, is reported. In this study, the generation mechanism of vascular endothelial chained vesicles and the transendothelial channel is theoretically investigated based on minimization of bending and in-plane shear strain energy of the membrane. A system of nonlinear differential equations is derived according to the variational principle and is reduced to a two point boundary value problem. The equations are solved through the Shooting method along with Newton-Raphson and Runge-Kutta method. The computed shape suggests that the effect of in-plane shear elasticity and outer cytoplasmic membrane are significant and these should be taken into account in numerical simulation.
