A THREE DIMENSIONAL CONVECTIVE-DIFFUSIVE MODEL FOR THE TRANSPORTATION OF MACROMOLECULES AND WATER ACROSS THE ARTERIAL WALL

摘要

A new three dimensional convective-diffusive mathematical model for the transportation of macromolecules and water across the arterial wall is proposed based on the hypothesis of leaky junction-cell turnover. In contrast to previous one or two dimensional model, the present model considers for the first time the shape of the cell, nommiform subendothelial pressure field and the special role of the internal elastic lamina (IEL). The three dimensional analytical solution of filtration of water and steady transport are obtained. The new theory have led to important physiological predictions, such as the concentration is higher and the flux of macromolecules is stronger in the low shear region than that in high shear region, etc..