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. 2013 Apr 6;10(81):20121015. doi: 10.1098/rsif.2012.1015

Table 1.

Coefficients and exponents for length–volume and volume–diameter scaling power laws in epicardial coronary arterial trees of high-fat diet and control groups. The values were mean±s.d. (averaged over arterial trees). One-way ANOVA was used to compare coefficients between the high-fat diet and control groups.

scaling power laws
high-fat diet (n = 6) control (n = 6) per cent difference (%) p-value
least-squares fit of both K0 and X values (two-parameter model)
 length–volume scaling law (Lc = K0LVVcXLV) K0LV 17.0±4.6 38.8±11.2 −56.1 <0.05
XLV 0.91±0.10 0.73±0.07 24.3 <0.05
R2 0.95±0.04 0.99±0.01
 volume–diameter scaling law (Vc = K0VDDsXVD) K0VD 3198±5591 23.3±11.8 13 644 <0.05
XVD 4.43±2.23 3.28±0.32 35.0 <0.05
R2 0.20±0.17 0.94±0.02
least-squares fit of K values with X equal to theoretical values (one-parameter model)
 length–volume scaling law (Lc = KLVVc7/9) KLV 14.6±2.6 40.9±5.6 −64.3 <0.05
R2 0.95±0.04 0.99±0.01
 volume–diameter scaling law (Vc = KVDDs3) KVD 24.0±7.9 9.5±1.6 151 <0.05
R2 0.20±0.17 0.94±0.02