Generation mechanism of vascular endothelial chained vesicles and transendothelial channel

Vascular endothelial cell vesicles are attached to both luminal and ablumin al surfaces of the endothelium and contribute to the transport of specific macromolecules between the external environment and the cell. The vesicles have mostly flask-like or chained bead-like shapes, while they appear free within the cytoplasm. The existence of a transendothelial channel, which is considered to be involved in specific transport systems, is also reported, In this study, the generation mechanism of vascular endothelial chained ve sicles and the transendothelial channel is theoretically investigated based on a method proposed by J.C. Luke (1982).. A system of nonlinear different ial equations is derived according to the variational principle and is redu ced to a two-point boundary value problem. The equations are solved using t he shooting method along with the Newton-Raphson and Runge-Kutta methods. T he computed shape of the vesicle suggests that the chained vesicles and the cylindrical transendothelial channel are the most dynamically stable shape which can be formed in vascular endothelial cells.