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1 Department of Pediatrics, Division of Neonatology, University of California Davis, Davis, California 95616; and 2 Department of Pediatrics, University of Wisconsin School of Medicine, Madison, Wisconsin 53792-4108
Bifurcation is a basic form of vascular
connection. It is composed of a parent vessel of diameter
d0, and two daughter vessels, d1 and d2, where
d0 > d1
d2. Optimal values for the bifurcation area
ratio,
= (d12 + d22)/d02,
and the junction exponent, x, in
d0x = d1x + d2x, are postulated to be
universal in nature. However, we have hypothesized that the perinatal
pulmonary arterial circulation is an exception. Arterial diameters were
measured in pulmonary vascular casts of a fetal lamb (140 days
gestation/145 days term) and a neonatal lamb (1 day old). The values
for
and x were evaluated in 10,970 fetal and 846 neonatal bifurcations sampled from the proximal and intermediate
arterial regions. Mean values and confidence intervals (CI) for the
fetus were
= 0.890 (0.886-0.895 CI) and x = 1.75 (1.74-1.76 CI); and for the newborn were
= 0.913 (0.90-0.93 CI) and x = 1.79 (1.75-1.82 CI).
These values are significantly different from Murray's law (
> 1, x = 3) or the West-Brown-Enquist law (
= 1, x = 2). Therefore, perinatal pulmonary bifurcation design appears to be distinctive and exceptional. The decreasing cross-sectional area with branching leads to the hemodynamic
consequence of shear stress amplification. This structural organization
may be important for facilitating vascular development at low flow rates; however, it may be the origin of unstable reactivity if elevated
blood flow and pressure occurs.
pulmonary arterial morphometry; branching complexity; heterogeneity
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