G. Rappitsch et K. Perktold, PULSATILE ALBUMIN TRANSPORT IN LARGE ARTERIES - A NUMERICAL-SIMULATION STUDY, Journal of biomechanical engineering, 118(4), 1996, pp. 511-519
Albumin transport in a stenosed artery configuration is analyzed numer
ically under steady and pulsatile flow conditions. The flow dynamics i
s described applying the incompressible Navier-Stokes equations for Ne
wtonian fluids, the mass transport is modelled using the convection di
ffusion equation. The boundary conditions describing the solute wall f
lux take into account the concept of endothelial resistance to albumin
flux by means of a shear dependent permeability model based on experi
mental data. The study concentrates on the influence of steady and pul
satile flow patterns and of regional variations in vascular geometry o
n the solute wall flux and on the ratio of endothelial resistance to c
oncentration boundary layer resistance. The numerical solution of the
Navier-Stokes equations and of the transport equation applies the fini
te element method where stability of the convection dominated transpor
t process is achieved by using an upwind procedure and a special subel
ement technique. Numerical simulations are carried out for albumin tra
nsport iii a stenosed artery segment with 75 percent area reduction re
presenting a late stage in the progression of an atherosclerotic disea
se. It is shown that albumin wall flux varies significantly along the
arterial section, is strongly dependent upon the different flow regime
s and varies considerably during a cardiac cycle. The comparison of st
eady results and pulsatile results shows differences rep to 30 percent
between time-averaged flux and steady flux in the separated flow regi
on downstream the stenosis.