M. Lei et al., COMPUTATIONAL DESIGN OF A BYPASS GRAFT THAT MINIMIZES WALL SHEAR-STRESS GRADIENTS IN THE REGION OF THE DISTAL ANASTOMOSIS, Journal of vascular surgery, 25(4), 1997, pp. 637-646
Purpose: Recent experimental and theoretic studies show that large wal
l shear stress gradients characterize disturbed flow patterns associat
ed with the location of myointimal hyperplasia, atheroma, or both. Gra
ft-to-artery anastomoses that minimize wall shear stress gradients may
reduce the degree of myointimal development and the propensity for th
rombosis. This study analyzes the distribution of distal anastomotic w
all shear stress gradients for conventional geometries and for the opt
imized geometry assuming idealized merging of the graft with the arter
y. Methods: A validated computational fluid dynamics program was used
to solve the transient three-dimensional partial differential equation
s and auxiliary equations that describe laminar incompressible blood f
low. Time-averaged wall shear stresses and wall shear stress gradients
were calculated for three distal graft-artery anastomoses: a standard
end-to-side, a Taylor patch, and an optimized geometry. The latter wa
s obtained iteratively by minimizing the local wall shear stress gradi
ents and was analyzed under resting and exercise inflow waveforms. Res
ults: Both the standard and Taylor patch anastomoses have relatively h
igh wall shear stress gradients in the regions of the toe and heel. Fo
r all flow inputs studied nonuniform hemodynamics in the optimized gra
ft design are largely eliminated, and the time-averaged wall shear str
ess gradients are greatly reduced throughout the anastomotic zone. At
resting flow the Taylor patch produces slightly lower wall shear stres
s gradients in the anastomotic region than the standard end-to-side an
astomosis. The optimized design reduces wall shear stress gradients to
almost one half of that of the standard and Taylor patch geometries.
At exercise flow wall shear stress gradients almost triple in the stan
dard anastomosis and increase approximately 30% in the Taylor patch. I
n contrast, the geometrically optimized design is basically independen
t of the type of now input waveform in terms of time-averaged wall she
ar stress gradients and disturbed flow patterns. Conclusion: This stud
y demonstrates that it is possible to design a terminal graft geometry
for an end-to-side anastomosis that significantly reduces wall shear
stress gradients. If the wall shear stress gradient is confirmed to be
a major hemodynamic determinant of intimal hyperplasia and restenosis
, these results may point to the design of optimal bypass graft geomet
ries.