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. 2021 Feb 1;20(3):941–955. doi: 10.1007/s10237-021-01422-y

Table 3.

Regression parameters between experimental and predicted mechanical properties

Slope Intercept R2 RMSE P value Error
Hexa-homo (E = 14.8GPa)
S (N/mm) 1.02* 9** 0.65 38 < 0.001 14% ± 8%
S_norm (N/mm/mg) 1.20* − 3** 0.80 4.58 < 0.001 14% ± 8%
Fu (N) 0.64 16 0.48 4.69 0.001 9% ± 6%
Fu_norm (N/mg) 1.07* 0** 0.81 0.56 < 0.001 9% ± 6%
Hexa-homo (TMD)
S (N/mm) 1.08* 15** 0.56 42 < 0.001 16% ± 11%
S_norm (N/mm/mg) 1.51 − 9** 0.80 4.58 < 0.001 16% ± 11%
Fu [N] 0.57 21 0.35 5.26 0.006 12% ± 6%
Fu_norm (N/mg) 1.46 − 2 0.79 0.58 < 0.001 12% ± 6%
Tetra-homo (E = 14.8GPa)
S (N/mm) 0.95* 16** 0.62 39 < 0.001 13% ± 11%
S_norm (N/mm/mg) 1.11* − 2** 0.78 4.81 < 0.001 13% ± 11%
Fu (N) 0.61 18 0.43 4.94 0.002 10% ± 7%
Fu_norm (N/mg) 1.09* 0** 0.77 0.61 < 0.001 10% ± 7%
Tetra-homo (TMD)
S (N/mm) 1.01* 20** 0.54 43 < 0.001 15% ± 12%
S_norm (N/mm/mg) 1.40 − 8** 0.78 4.84 < 0.001 15% ± 12%
Fu (N) 0.55 21 0.33 5.34 0.008 11% ± 7%
Fu_norm (N/mg) 1.36 − 2** 0.79 0.59 < 0.001 11% ± 7%
Hexa-hete
S (N/mm) 0.99* 37** 0.49 45 0.001 17% ± 12%
S_norm (N/mm/mg) 1.49 -8** 0.75 5.14 < 0.001 17% ± 12%
Fu (N) 0.55 23 0.32 5.37 0.009 12% ± 7%
Fu_norm (N/mg) 1.41 − 2** 0.76 0.63 < 0.001 12% ± 7%
Tetra-hete
S (N/mm) 1.03* 24** 0.53 44 < 0.001 16% ± 12%
S_norm (N/mm/mg) 1.49 − 8** 0.78 4.77 < 0.001 16% ± 12%
Fu (N) 0.38 30 0.21 5.80 0.042 15% ± 10%
Fu_norm (N/mg) 1.19* 0** 0.55 0.86 < 0.001 15% ± 10%

S stiffness (N/mm), S_norm normalized stiffness (N/mm/mg), Fu  failure load (N), Fu_norm normalized failure load (N/mg), Hexa hexahedral mesh, Tetra tetrahedral mesh, Homo homogeneous material properties (either E = 14.8 GPa or sample-specific E based on the average tissue mineral density, TMD), Hete heterogeneous material properties based on TMD

*Indicates that the slope was not significantly different from 1 (p value > 0.05). **Indicates that the intercept was not significantly different from 0 (p value > 0.05)