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. 2021 Jan 28;32(6):1041–1052. doi: 10.1007/s00198-021-05852-3

Table 3.

Summarizes fractal dimension (FD) values for the studies (#12) included in the meta- analyses

First author/year Region/subregion
1: mandible; 2: maxilla; 3: condyle (a: molar; b: premolar; c: canine)
Healthy individuals Osteoporotic patients Method for measuring FD
FD mean (sd) N FD mean (sd) N
Alam/2020 [41] 1/b 1.64 (0.02) 30 1.65 (0.02) 30 Box counting by White and Rudolph
Gungor/2006 [28] 2/c 0.91 (0.17) 25 0.94 (0.08) 29 Box counting by Mandelbrot
2/c 0.96 (0.04) 0.93 (0.05)
3 1.4 (0.02) 1.37 (0.07)
3 1.39 (0.07) 1.39 (0.04)
Hwang/2017 [45] 3 1.27 (0.06) 227 1.27 (0.07) 227 Box counting by White and Rudolph
1/a 1.29 (0.07) 1.28 (0.07)
1/b 1.22 (0.07) 1.21 (0.06)
Kavitha/2015 [47] 1/b 1.69 (0.03) 120 1.66 (0.04) 21 Differential Box Counting by Sarkar and Chauduri
1/b 1.38 (0.04) 1.37 (0.04)
1/b 1.15 (0.05) 1.11 (0.05)
1/b 1.41 (0.03) 1.38 (0.03)
1/b 1.69 (0.03) 121 1.66 (0.03) 20
1/b 1.38 (0.04) 1.36 (0.03)
1/b 1.15 (0.03) 1.14 (0.09)
1/b 1.41 (0.02) 1.39 (0.04)
Koh/2012 [49] 2/c 1.16 (0.13) 31 1.17 (0.12) 25 Box counting by White and Rudolph
2/b 1.08 (0.07) 1.10 (0.09)
2/a 1.11 (0.08) 1.08 (0.10)
1/c 1.16 (0.1) 1.11 (0.12)
1/b 1.13 (0.09) 1.10 (0.08)
1/a 1.16 (0.08) 1.13 (0.09)
Law/1996* [50] 1/b 1.13 (0.03) 44 3.24 (0.07) 60 Power spectra
Mostafa/2016 [51] 1/c 1.17 (0.04) 25 1.19 (0.04) 25 Box counting by White and Rudolph
Oliveira/2013 [52] 1/a 1.41 (0.08) 38 1.36 (0.10) 35 Box counting (Minkowski-Bouligand dimension)
1/a 1.40 (0.07) 1.35 (0.11)
1/c 1.40 (0.08) 1.38 (0.08)
1/c 1.42 (0.05) 1.37 (0.08)
Sindeaux/2014 [30] 1/c 1.14 (0.081) 22 1.14 (0.122) 62 Box counting by White and Rudolph
1/c 1.17 (0.11) 24 1.15 (0.09) 25
1/c 1.18 (0.11) 22 1.15 (0.13) 62
1/c 1.16 (0.15) 24 1.18 (0.10) 25
1/c 1.13 (0.12) 22 1.13 (0.15) 62
1/c 1.16 (0.15) 24 1.15 (0.12) 25
1/a 1.42 (0.05) 22 1.34 (0.08) 62
1/a 1.42 (0.05) 24 1.38 (0.06) 25
1/b 1.429 (0.07) 22 1.354 (0.09) 62
1/b 1.373 (0.06) 24 1.371 (0.05) 25
Tosoni/2006 [54] 1/a 1.33 (0.03) 15 1.34 (0.04) 17 Box counting by White and Rudolph
1/c 1.16 (0.03) 1.14 (0.05)
1/a 1.55 (0.03) 1.56 (0.03)
1/c 1.3 (0.07) 1.33 (0.06)
Vijayalakshmi/2017 [55] 1/a 0.83 (0.10) 30 0.82 (0.09) 30 Box counting by White and Rudolph
1/b 0.84 (0.09) 0.84 (0.13)
1/c 0.83 (0.11) 0.82 (0.12)
Yasar/2006 [56] 1/b 1.39 (0.05) 21 1.4 (0.07) 27 Box counting by White and Rudolph

Abbreviations: FD fractal dimension; N number of individuals/patients; sd standard deviation