Table 1.
Fractal parameters of liver fibrosis measured in biopsies taken at different sites (mean ± SD)
| Liver | Sections (n) | AF (%) | PF (μm) |
D |
W | H | |
| DA | DP | ||||||
| 1 | 6 | 19.17 ± 10.98 (9.1-38.4) | 6964.74 ± 3128.95 (4646.2-12328.6) | 1.64 ± 0.06 (1.6-1.8) | 1.56 ± 0.06 (1.5-1.7) | 1178.82 ± 198.79 (897.9-1453.3) | 0.35 ± 0.06 (0.3-0.5) |
| 2 | 8 | 22.00 ± 7.99 (8.5-35.1) | 3570.14 ± 1170.41 (1365.9-5240.7) | 1.66 ± 0 06 (1.5-1.7) | 1.57 ± 0.06 (1.4-1.7) | 748.94 ± 129.68 (1365.9-5240.7) | 0.34 ± 0.06 (0.4-0.6) |
| 3 | 8 | 15.62 ± 8.73 (5.5-33.8) | 4673.66 ± 4405.36 (907.6-15037.6) | 1.62 ± 0.07 (1.5-1.8) | 1.55 ± 0.07 (1.4-1.7) | 881.40 ± 354.46 (460-1641) | 0.37 ± 0.07 (0.3-0.6) |
| 4 | 8 | 32.83 ± 6.35 (25-44.2) | 7727.38 ± 4215.44 (2949.9-16341.1) | 1.74 ± 0.04 (1.6-1.8) | 1.64 ± 0.04 (1.6-1.7) | 1103.06 ± 307.68 (701.7-1649.3) | 0.26 ± 0.04 (0.3-0.4) |
| 5 | 6 | 19.53 ± 11.06 (4.95-32.9) | 6833.67 ± 3057.82 (3057.8-11213.4) | 1.64 ± 0.07 (1.5-1.7) | 1.56 ± 0.06 (1.5-1.6) | 1172.91 ± 342.08 (666.1-1690.3) | 0.35 ± 0.07 (0.4-0.5) |
| 6 | 8 | 31.42 ± 15.22 (13.1-55.67) | 7035.59 ± 3871.56 (2290.7-14153.6) | 1.74 ± 0.07 (1.6-1.8) | 1.66 ± 0.06 (1.6-1.8) | 1155.17 ± 367.12 (793.7-1713.5) | 0.25 ± 0.04 (0.2-0.4) |
| 7 | 6 | 12.81 ± 5.26 (6.5-20.8) | 6576.58 ± 4024.44 (2626.9-12294.2) | 1.61 ± 0.05 (1.5-1.7) | 1.55 ± 0.05 (1.5-1.6) | 1121.75 ± 429.47 (717.8-1796) | 0.38 ± 0.07 (0.4-0.5) |
| 8 | 6 | 13.52 ± 6.09 (5.5-21.7) | 5224.22 ± 3583.102 (1599.6-11107.4) | 1.57 ± 0.07 (1.5-1.7) | 1.49 ± 0.07 (1.4-1.6) | 908.53 ± 363.51 (547.1-1363.4) | 0.42 ± 0.07 (0.4-0.6) |
| 9 | 8 | 12.34 ± 6.87 (6.7-23.9) | 5087.80 ± 1619.29 (3081.7-6801.2) | 1.62 ± 0.05 (1.6-1.7) | 1.55 ± 0.05 (1.5-1.6) | 1076.95 ± 15.20 (902.5-1328.3) | 0.37 ± 0.05 (0.4-0.5) |
| 10 | 8 | 18.87 ± 5.54 (9.8-25) | 8133.72 ± 3459.80 (2699.6-12552.2) | 1.68 ± 0.05 (1.6-1.8) | 1.61 ± 0.06 (1.5-1.7) | 1276.35 ± 421.98 (635.9-1834.8) | 0.31 ± 0.05 (0.3-0.5) |
| 11 | 8 | 18.74 ± 4.93 (9.7-25.2) | 5760.81 ± 1698.43 (2602.6-7805.2) | 1.63 ± 0.05 (1.6-1.7) | 1.56 ± 0.05 (1.5-1.6) | 958.96 ± 173.98 (632.4-1147.6) | 0.34 ± 0.05 (0.4-0.5) |
| 12 | 8 | 25.26 ± 11.35 (9.7-44.4) | 5621.00 ± 2603.91 (1637.6-9839.8) | 1.71 ± 0.06 (1.6-1.8) | 1.62 ± 0.05 (1.5-1.7) | 970.14 ± 255.81 (609.3-1455.8) | 0.28 ± 0.06 (0.3-0.5) |
N: Number of biopsy sections; AF: Fractal rectified area; PF: Fractal rectified perimeter; DA: Ssurface fractal dimension; DP: Ooutline fractal dimension; W: Wrinkledness; H: Hurst's exponent.