Journal of Applied Physiology AJP: Gastrointestinal and Liver Physiology
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J Appl Physiol 83: 1370-1382, 1997;
8750-7587/97 $5.00
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Journal of Applied Physiology
Vol. 83, No. 4, pp. 1370-1382, October 1997
PULMONARY CIRCULATION AND LUNG FLUID BALANCE

MODELING IN PHYSIOLOGY

Vascular tree structure affects lung blood flow heterogeneity simulated in three dimensions

James C. Parker1, Chris B. Cave1, Jeffrey L. Ardell1, Charles R. Hamm2, and Susan G. Williams3

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 (Theta ), daughter-parent length ratio (rL), branch rotation angle (phi ), and branch fraction of parent flow (gamma ) for a single bifurcation were defined and repeated sequentially through 11 generations. With phi  fixed at 90°, tree structures were generated with Theta  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 gamma  not equal 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 gamma  not equal  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


0161-7567/97 $5.00 Copyright © 1997 the American Physiological Society




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