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. Author manuscript; available in PMC: 2019 Mar 26.
Published in final edited form as: IEEE Trans Med Imaging. 2018 Mar;37(3):693–702. doi: 10.1109/TMI.2017.2769640

TABLE II.

Geometrical Features of the Growth Model, Previous Morphometry Studies, and Previous Models

Growth model Morphometry Other Models
θ Airways 43.76 ±0.51
(range: 42.96–44.47)
39,43 [41];
37.28 [42]
50.31 [24];
42.90 ±0.10[43]
Arteries 44.84 + 0.30
(range: 44.46 – 45.26)
- 47.29 [25]
Veins 44.56 ± 0.41
(range: 43.97 – 45.19)
- 51.52 [25]
Airways 3.45 ± 0.05
(range: 3.40 – 3.53)
3.09,3.14[41];
~3.25 [44]
2.92 [24];
3.0[45]
4.67 ± 0.47 [43]
Arteries 4.05 + 0.12
(range: 3.86 – 4.22)
- -
Veins 4.35 ± 0.09
(range: 4.21 – 4.48)
- -
DdDp Airways 0.78 ± 0.00
(range: 0.78 – 0.79)
0.76 [46];
0.78, 0.83
[41]
0.79 [24]
0.82 ± 0.00 [43]
Arteries 0.73 ± 0.01
(range: 0.72 – 0.74)
- -
Veins 0.73 ± 0.01
(range: 0.72 – 0.74)
- -
RbS Airways 2.48 ± 0.08
(range: 2.34 −2.58)
(R2= 0.99 + 0.01)
2.51–2.81 [38] 2.80 [24]
(R2 = 1.00)
Arteries 2.96 ± 0.53
(range: 2.54 – 4.05)
(R= 0.96 + 0.04)
3.03 [36]
3.11 [14]
3.36 [20]
3.04 [25]
(R2 = 1.00)
Veins 3.46 ± 0.29
(range: 3.15–4.01)
(R2= 0.96 + 0.01)
3.30 [38]
3.33 [20]
3.41 [25]
(R2 = 1.00)
RdS Airways 1.43 + 0.03
(range: 1.37 −1.46)
(R3= 0.94 ± 0.02)
1.35–1.45 [38] 1.41 [24]
(R2 = 0.98)
Arteries 1.58 + 0.03
(range: 1.54–1.62)
(R2= 0.91 + 0.01)
1.56 [20]
1.60[36]
1.56, 1.60 [14]
1.57 [25]
(R2 = 1.00)
Veins 1.59 + 0.04
(1.55–1.67)
(R2= 0.93 ± 0.02)
1.58 [20]
1.69 [38]
1.66 [25]
(R2 = 1.00)
RlS Airways 1.37 ±0.02
(range: 1.34 −1.40)
(R2= 1.00 ±0.01)
1.33–1.46 [38] 1.39 [24]
(R2 = 0.95)
Arteries 1.34 + 0.03
(range: 1.28 −1.39)
(R2= 0.96 ± 0.03)
1.46 [14]
1.49 [36]
1.49 [20]
1.50 [25]
(R2 = 0.95)
Veins 1.29 + 0.01
(range: 1.28 −1.33)
(R2= 0.99 ± 0.01)
1.50 [20]
1.68 [38]
1.64 [25]
(R2 = 0.94)

Results are in mean ± standard deviation and the range of the values. R2 is the coefficient of determination and indicates the goodness of the fits. θ=branching angle; LD = length to diameter ratio; DdDp = daughter to parent diameter ratio: RbS, RdS, RlS = branching, diameter, and length ratios.