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Departments of 1 Physiology, 2 Pediatrics, and 3 Mathematics, University of South Alabama, Mobile, Alabama 36688
Received 29 January 1996; accepted in final form 21 April 1997.
Parker, James C., Chris B. Cave, Jeffrey L. Ardell, Charles
R. Hamm, and Susan G. Williams. Vascular tree
structure affects lung blood flow heterogeneity simulated in three
dimensions. J. Appl. Physiol. 83(4):
1370-1382, 1997.
Pulmonary arterial tree structures related to
blood flow heterogeneity were simulated by using a symmetrical,
bifurcating model in three-dimensional space. The branch angle (
),
daughter-parent length ratio
(rL), branch
rotation angle (
), and branch fraction of parent flow (
) for a
single bifurcation were defined and repeated sequentially through 11 generations. With
fixed at 90°, tree structures were generated
with
between 60 and 90°,
rL between 0.65 and 0.85, and an initial segment length of 5.6 cm and sectioned into
1-cm3 samples for analysis. Blood
flow relative dispersions (RD%) between 52 and 42% and fractal
dimensions (Ds)
between 1.20 and 1.15 in 1-cm3
samples were observed even with equal branch flows. When
0.5, RD% increased, but
Ds either
decreased with gravity bias of higher branch flows or increased with
random assignment of higher flows. Blood flow gradients along gravity
and centripetal vectors increased with biased flow assignment of higher
flows, and blood flows correlated negatively with distance only when
0.5. Thus a recursive branching vascular tree structure
simulated Ds and
RD% values for blood flow heterogeneity similar to those observed
experimentally in the pulmonary circulation due to differences in the
number of terminal arterioles per
1-cm3 sample, but blood flow
gradients and a negative correlation of flows with distance required
unequal partitioning of blood flows at branch
points.
regional pulmonary blood flow; pulmonary circulation; gravity gradients; fractal analysis; relative dispersion; computer simulation; distance correlation
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