Table 1.
Coefficients and exponents for three scaling power laws
| LVH | RVH | CHF | Control-LVH | Control-RVH | Control-CHF | ||
|---|---|---|---|---|---|---|---|
| Volume-diameter scaling law | XVD | 3.08 ± 0.17 | 3.14 ± 0.15 | 3.16 ± 0.11 | 3.09 ± 0.11 | 3.04 ± 0.10 | 3.07 ± 0.09 |
| KVD | 12.40 ± 1.70 | 18.00 ± 1.80 | 11.40 ± 1.90 | 16.20 ± 1.80 | 16.50 ± 1.80 | 15.40 ± 1.70 | |
| R2 | 0.87 | 0.85 | 0.87 | 0.86 | 0.88 | 0.89 | |
| Length-volume scaling law | XLV | 0.70 ± 0.01 | 0.71 ± 0.01 | 0.67 ± 0.02 | 0.70 ± 0.01 | 0.68 ± 0.02 | 0.72 ± 0.01 |
| KLV | 36732.00 ± 1.20 | 38516.00 ± 1.20 | 34881.00 ± 1.30 | 37385.00 ± 1.20 | 37520.00 ± 1.20 | 34579.00 ± 1.20 | |
| R2 | 0.98 | 0.98 | 0.97 | 0.98 | 0.98 | 0.99 | |
| Flow-diameter scaling law | XQD | 2.15 ± 0.12 | 2.25 ± 0.17 | 2.09 ± 0.12 | 2.14 ± 0.12 | 2.08 ± 0.15 | 2.19 ± 0.11 |
| KQD | 15.60 ± 1.70 | 10.80 ± 2.30 | 16.50 ± 2.00 | 15.20 ± 1.80 | 12.30 ± 2.20 | 16.80 ± 1.90 | |
| R2 | 0.82 | 0.68 | 0.72 | 0.77 | 0.77 | 0.76 | |
| Stem-crown units in entire tree | ∼510,000 | ∼880,000 | ∼550,000 | ∼330,000 | ∼350,000 | ∼1,030,000 | |
| Epicardial stem-crown units | ∼150 | ∼460 | ∼180 | ∼70 | ∼100 | ∼420 | |
| Transmural stem-crown units | ∼7,000 | ∼20,000 | ∼11,000 | ∼7,000 | ∼8,000 | ∼12,000 | |
| Perfusion stem-crown units | ∼500,000 | ∼860,000 | ∼535,000 | ∼320,000 | ∼340,000 | ∼1,015,000 | |
Applicable values are means ± SD. Coefficients and exponents for length-volume, volume-diameter, and flow-diameter scaling power laws are shown, as well as stem-crown units in the entire coronary arterial trees of left ventricular hypertrophy (LVH), right ventricular hypertrophy (RVH), congestive heart failure (CHF), and control groups and stem-crown units in epicardial arterial trees (orders 9–11), transmural arterial trees (orders 5–8), and perfusion arteriolar trees (orders 1–4).