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Department of Bioengineering, University of California, San Diego, La Jolla, California 92093-0412
Hemodynamic analysis of coronary blood flow
must be based on a statistically valid geometric model of the coronary
vasculature. We have previously developed a diameter-defined Strahler
model for the arterial and venous trees and a network model for the capillaries. A full set of data describing the geometric properties of
the porcine coronary vasculature was given. The order number, diameter,
length, connectivity matrix
[m,n] (CM),
and parallel-series features were measured for all orders of vessels of
the right coronary artery (RCA), left anterior descending artery (LAD), left circumflex artery (LCX), and coronary venous system. The purpose
of the present study is to present another feature of the branching
pattern of the coronary vasculature: the longitudinal position matrix
[m,n] (LPM), whose
component in row m and column n is the fractional longitudinal
position of the branch point on vessels of order
n at which vessels of order
m branch off
(m 
n). The LPM of the pig RCA, LAD and
LCX arterial trees, as well as the coronary sinusal and thebesian
venous trees, are presented. The hemodynamic implications of the LPM
are illustrated by comparing two kinds of circuits: one, the CM + LPM
model, simulates the mean data on the morphology (diameters, lengths,
and numbers), CM, and LPM of vessels, whereas the other, the CM model,
simulates the mean data on the morphology and CM without considering
the LPM. We found that the LPM affects the hemodynamics of coronary blood flow especially with regard to the nonuniformity or dispersion of
flow distribution.
heart; connectivity matrix; blood flow; flow dispersion; pressure distribution
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