Stroke, Vol 14, 70-76, Copyright © 1983 by American Heart Association
TW Macfarlane, PB Canham and MR Roach
The geometry of arterial bifurcations appears to play a significant role in
the development of vascular disease. We have investigated the changes in
bifurcation geometry with changes in distending pressure over the range 0.0
to 190.0 mm Hg. Five cerebral arterial bifurcations from human subjects
were studied. The investigation focussed on the shape and on changes in the
shape of the leading edge of the flow divider (internal apical curve). The
curve outline at each transmural pressure increment (each 10.0 mm Hg) was
photographed and digitized. The curves were plotted serially on an expanded
scale. Visual comparison of the curves indicated flattening in the central
region and broadening of the shoulders of the curves with increasing
transmural pressure. Regression analysis using second order polynomials was
used to obtain coefficients for equations defining short, overlapping
segments of each curve. Twenty-four coordinates were used for each
successive regression. Each curve was characterized by 85 to 100 digitized
coordinates. The regression equations for each curve were used to calculate
the curvature parameter, K, and the radius of curvature, R. Three of the
five bifurcations demonstrated a negative correlation of K with increasing
transmural pressure (p less than .001). This result supports the visual
observation that the internal apical curve flattens with increasing
transmural pressure. Flattening of the internal apical curve together with
thinning of the arterial wall with increasing transmural pressure would
contribute to a stress concentration at the apex of a cerebral bifurcation.
This stress concentration would be more pronounced in the presence of a
medial gap at the apex of the bifurcation. It is on or near this region of
stress concentration that aneurysms develop.
ARTICLES
Shape changes at the apex of isolated human cerebral bifurcations with changes in transmural pressure
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