[1] Pettersen, S.H., Wik, T.S., Skallerud, B., Subject specific finite element analysis of stress shielding around a cementless femoral stem. Clin Biomech 24 (2009), 196–202.
[2] Pettersen, S.H., Wik, T.S., Skallerud, B., Subject specific finite element analysis of implant stability for a cementless femoral stem. Clin Biomech 24 (2009), 480–487.
[3] Mirzaei, M., Zeinali, A., Razmjoo, A., Nazemi, M., On prediction of the strength levels and failure patterns of human vertebrae using quantitative computed tomography (QCT)-based finite element method. J Biomech 42 (2009), 1584–1591.
[4] Orwoll, E.S., Marshall, L.M., Nielson, C.M., Cummings, S.R., Lapidus, J., Cauley, J.A., et al. Finite element analysis of the proximal femur and hip fracture risk in older men. J Bone Miner Res 24:3 (2009), 475–483.
[5] Edwards, W.B., Troy, K.L., Finite element prediction of surface strain and fracture strength at the distal radius. Med Eng Phys 34 (2012), 290–298.
[6] Keaveny, T.M., Donley, D.W., Hoffmann, P.F., Mitlak, B.H., Glass, E.V., San Martin, J.A., Effects of teriparatide and alendronate on vertebral strength as assessed by finite element modeling of qct scans in women with osteoporosis. J Bone Miner Res 22:1 (2007), 149–157.
[7] Keaveny, T.M., McClung, M.R., Wan, X., Kopperdahl, D.L., Mitlak, B.H., Krohn, K., Femoral strength in osteoporotic women treated with teriparatide or alendronate. Bone 50 (2012), 165–170.
[8] Chevalier, Y., Quek, E., Borah, B., Gross, G., Stewart, J., Lang, T., et al. Biomechanical effects of teriparatide in women with osteoporosis treated previously with alendronate and risedronate: Results from quantitative computed tomography-based finite element analysis of the vertebral body. Bone 46 (2010), 41–48.
[9] Helgason, B., Perilli, E., Schileo, E., Taddei, F., Brynjólfsson, S., Viceconti, M., Mathematical relationships between bone density and mechanical properties: a literature review. Clin Biomech 23 (2008), 135–146.
[10] Ashman, R.B., Rho, J.Y., Turner, C.H., Anatomical variation of orthotropic elastic moduli of the proximal human tibia. J Biomech 22 (1989), 895–900.
[11] Crawford, R.P., Cann, C.E., Keaveny, T.M., Finite element models predict in vitro vertebral body compressive strength better than quantitative computed tomography. Bone 33 (2003), 744–750.
[12] Edwards, W.B., Schnitzer, T.J., Troy, K.L., Torsional stiffness and strength of the proximal tibia are better predicted by finite element models than DXA or QCT. J Biomech 46 (2013), 1655–1662.
[13] Gray, H.A., Taddei, F., Zavatsky, A.B., Cristofolini, L., Gill, H.S., Experimental validation of a finite element model of a human cadaveric tibia. J Biomech Eng, 130, 2008, 2913335.
[14] Chappard, C., Peyrin, F., Bonnassie, A., Lemineur, G., Brunet-Imbault, B., Lespessailles, E., et al. Subchondral bone micro-architectural alterations in osteoarthritis: a synchrotron micro-computed tomography study. Osteoarthr Cartil 14 (2006), 215–223.
[15] Enns-Bray, W.S., Owoc, J.S., Nishiyama, K.K., Boyd, S.K., Mapping anisotropy of the proximal femur for enhanced image based finite element analysis. J Biomech 47 (2014), 3272–3278.
[16] Unnikrishnan, G.U., Barest, G.D., Berry, D.B., Hussein, A.I., Morgan, E.F., Effect of specimen-specific anisotropic material properties in quantitative computed tomography-based finite element analysis of the vertebra. J Biomech Eng, 135, 2013 101007–101007.
[17] Synek, A., Chevalier, Y., Baumbach, S.F., Pahr, D.H., The influence of bone density and anisotropy in finite element models of distal radius fracture osteosynthesis: evaluations and comparison to experiments. J Biomech 48:15 (2015), 4116–4123.
[18] Cowin, S.C., The relationship between the elasticity tensor and the fabric tensor. Mech Mater 4 (1985), 137–147.
[19] Zysset, P.K., Curnier, A., An alternative model for anisotropic elasticity based on fabric tensors. Mech Mater 21 (1995), 243–250.
[20] Maquer, G., Musy, S.N., Wandel, J., Gross, T., Zysset, P.K., Bone volume fraction and fabric anisotropy are better determinants of trabecular bone stiffness than other morphological variables. J Bone Miner Res 30 (2015), 1000–1008.
[21] Gross, T., Pahr, D., Zysset, P., Morphology–elasticity relationships using decreasing fabric information of human trabecular bone from three major anatomical locations. Biomech Model Mechanobiol 12 (2013), 793–800.
[22] Kabel, J., van Rietbergen, B., Odgaard, A., Huiskes, R., Constitutive relationships of fabric, density, and elastic properties in cancellous bone architecture. Bone 25 (1999), 481–486.
[23] Tabor, Z., Petryniak, R., Latała, Z., Konopka, T., The potential of multi-slice computed tomography based quantification of the structural anisotropy of vertebral trabecular bone. Med Eng Phys 35 (2013), 7–15.
[24] Kersh, M.E., Zysset, P.K., Pahr, D.H., Wolfram, U., Larsson, D., Pandy, M.G., Measurement of structural anisotropy in femoral trabecular bone using clinical-resolution CT images. J Biomech 46 (2013), 2659–2666.
[25] Larsson, D., Luisier, B., Kersh, M., Dall'Ara, E., Zysset, P., Pandy, M., et al. Assessment of transverse isotropy in clinical-level ct images of trabecular bone using the gradient structure tensor. Ann Biomed Eng 42 (2014), 950–959.
[26] Ladd, A.J.C., Kinney, J.H., Numerical errors and uncertainties in finite-element modeling of trabecular bone. J Biomech 31 (1998), 941–945.
[27] Niebur, G.L., Yuen, J.C., Hsia, A.C., Keaveny, T.M., Convergence behavior of high-resolution finite element models of trabecular bone. J Biomech Eng 121 (1999), 629–635.
[28] Pistoia, W., van Rietbergen, B., Lochmüller, E.M., Lill, C.A., Eckstein, F., Rüegsegger, P., Estimation of distal radius failure load with micro-finite element analysis models based on three-dimensional peripheral quantitative computed tomography images. Bone 30 (2002), 842–848.
[29] Pahr, D.H., Zysset, P.K., Influence of boundary conditions on computed apparent elastic properties of cancellous bone. Biomech Model Mechanobiol 7 (2007), 463–476.
[30] Hollister, S.J., Fyhrie, D.P., Jepsen, K.J., Goldstein, S.A., Application of homogenization theory to the study of trabecular bone mechanics. J Biomech 24 (1991), 825–839.
[31] Van Rietbergen, B., Odgaard, A., Kabel, J., Huiskes, R., Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture. J Biomech 29 (1996), 1653–1657.
[32] Chandran, V., Zysset, P., Reyes, M., et al. Prediction of trabecular bone anisotropy from quantitative computed tomography using supervised learning and a novel morphometric feature descriptor. Navab, N., et al. (eds.) Medical image computing and computer-assisted intervention – MICCAI 2015, 2015, Springer International Publishing, 621–628.
[33] Dall'Ara, E., Varga, P., Pahr, D., Zysset, P., A calibration methodology of QCT BMD for human vertebral body with registered micro-CT images. Med Phys 38 (2011), 2602–2608.
[34] Lenaerts, L., Wirth, A.J., van Lenthe, G.H., Quantification of trabecular spatial orientation from low-resolution images. Comput Methods Biomech Biomed Eng 2 (2014), 1–8.
[35] Tabor, Z., Rokita, E., Quantifying anisotropy of trabecular bone from gray-level images. Bone 40 (2007), 966–972.
[36] Tabor, Z., Equivalence of mean intercept length and gradient fabric tensors – 3d study. Med Eng Phys 34 (2012), 598–604.
[37] Hazrati Marangalou, J., Ito, K., Cataldi, M., Taddei, F., van Rietbergen, B., A novel approach to estimate trabecular bone anisotropy using a database approach. J Biomech 46 (2013), 2356–2362.
[38] Zysset, P.K., Goulet, R.W., Hollister, S.J., A global relationship between trabecular bone morphology and homogenized elastic properties. J Biomech Eng 120 (1998), 640–646.
[39] Varga, P., Dall'Ara, E., Pahr, D., Pretterklieber, M., Zysset, P., Validation of an HR-pQCT-based homogenized finite element approach using mechanical testing of ultra-distal radius sections. Biomech Model Mechanobiol 10 (2011), 431–444.
[40] Morgan, E.F., Bayraktar, H.H., Keaveny, T.M., Trabecular bone modulus–density relationships depend on anatomic site. J Biomech 36 (2003), 897–904.
[41] Peng, L., Bai, J., Zeng, X., Zhou, Y., Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions. Med Eng Phys 28 (2006), 227–233.
[42] Baca, V., Horak, Z., Mikulenka, P., Dzupa, V., Comparison of an inhomogeneous orthotropic and isotropic material models used for FE analyses. Med Eng Phys 30 (2008), 924–930.
[43] Duchemin, L., Bousson, V., Raossanaly, C., Bergot, C., Laredo, J.D., Skalli, W., et al. Prediction of mechanical properties of cortical bone by quantitative computed tomography. Med Eng Phys 30 (2008), 321–328.
[44] Schileo, E., Dall'Ara, E., Taddei, F., Malandrino, A., Schotkamp, T., Baleani, M., et al. An accurate estimation of bone density improves the accuracy of subject-specific finite element models. J Biomech 41 (2008), 2483–2491.
[45] Keyak, J.H., Lee, I.Y., Skinner, H.B., Correlations between orthogonal mechanical properties and density of trabecular bone: use of different densitometric measures. J Biomed Mater Res 28 (1994), 1329–1336.
[46] Rho, J.-Y., An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. Ultrasonics 34 (1996), 777–783.
[47] Keller, T.S., Predicting the compressive mechanical behavior of bone. J Biomech 27 (1994), 1159–1168.
[48] Snyder, S.M., Schneider, E., Estimation of mechanical properties of cortical bone by computed tomography. J Orthop Res 9 (1991), 422–431.
[49] Rohrbach, D., Grimal, Q., Varga, P., Peyrin, F., Langer, M., Laugier, P., et al. Distribution of mesoscale elastic properties and mass density in the human femoral shaft. Connect Tissue Res 56 (2015), 120–132.
