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. 2016 Aug 19;311(5):H1108–H1117. doi: 10.1152/ajpheart.00084.2016

Table 3.

Coefficients and exponents for three scaling power laws in epicardial, transmural, and perfusion arterial trees of RVH and control

Scaling power laws
RVH
Control
Epi Trans Perf Epi Trans Perf
Least-squares fit of X values in normalized scaling power laws
Volume-diameter scaling law XVD 3.77 ± 0.68 3.32 ± 0.15 3.14 ± 0.10 3.34 ± 0.95 3.12 ± 0.16 3.04 ± 0.10
R2 0.74 0.92 0.81 0.93 0.93 0.85
Length-volume scaling law XLV 0.71 ± 0.06 0.67 ± 0.02 0.71 ± 0.01 0.74 ± 0.07 0.65 ± 0.02 0.68 ± 0.02
R2 0.93 0.94 0.98 0.98 0.96 0.98
Flow-diameter scaling law XQD 2.58 ± 0.65 2.15 ± 0.14 2.25 ± 0.15 2.39 ± 0.73 1.95 ± 0.13 2.08 ± 0.15
R2 0.79 0.83 0.64 0.90 0.91 0.76
Least-squares fit of K values with X equal to theoretical values
Volume-diameter scaling law KVD 13.90 ± 2.10 14.80 ± 1.60 18.00 ± 1.80 12.70 ± 1.60 16.70 ± 1.60 16.40 ± 1.80
R2 0.74 0.92 0.81 0.93 0.93 0.85
Length-volume scaling law KLV 177.00 ± 1.50* 4365.00 ± 1.40* 38570.00 ± 1.20 81.90 ± 1.10 3487.00 ± 1.40 37698.00 ± 1.20
R2 0.93 0.94 0.98 0.99 0.96 0.98
Flow-diameter scaling law KQD 5.40 ± 2.20* 12.80 ± 1.70 10.80 ± 2.30 2.80 ± 1.40 12.00 ± 1.70 12.40 ± 2.20
R2 0.79 0.83 0.64 0.90 0.91 0.76

Values are means ± SD. Coefficients and exponents are shown for length-volume, volume-diameter, and flow-diameter scaling power laws in epicardial arterial trees (orders 9–11), transmural arterial trees (orders 5–8), and perfusion arteriolar trees (orders 1–4) of RVH and control groups (ages before surgery: ∼3 mo).

*

Statistical difference between CHF and control (2-way ANOVA).