Computational fluid flow solution over endothelial cells inside the capillary vascular system

Computational blood flow analysis through glycocalyx located over the endothelial cells in human capillary vascular system is performed. Stable numerical schemes are developed for obtaining approximate solutions to the mixed problem to the partial differential equation with variable space operator to model the blood flow. Numerical techniques are developed by applying a procedure of the solution to the linear difference equation with matrix coefficients. The flow equations inside the core flow region and porous region are established. Discretization is done and the flow velocities in both regions are calculated. The effect of the flow over the glycocalyx is investigated. The wall shear stresses and the drag force over the glycocalyx are calculated. Copyright © 2007 John Wiley & Sons, Ltd.