Optimizing finite element predictions of local subchondral bone structural stiffness using neural network-derived density-modulus relationships for proximal tibial subchondral cortical and trabecular bone
Finite element modeling; Density-modulus relationships for bone; Subchondral bone; Proximal tibia; Neural network
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Nazemi, Sayed Majid ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Génie biomécanique
Amini, Morteza
Kontulainen, Saija A.
Milner, Jaques S.
Holdsworth, David W.
Masri, Bassam A.
Wilson, David R.
Johnston, James D.
Language :
English
Title :
Optimizing finite element predictions of local subchondral bone structural stiffness using neural network-derived density-modulus relationships for proximal tibial subchondral cortical and trabecular bone
Amini, M., et al. Individual and combined effects of OA-related subchondral bone alterations on proximal tibial surface stiffness: a parametric finite element modeling study. Med. Eng. Phys. 37:8 (2015), 783–791.
Anderson, M.J., Keyak, J.H., Skinner, H.B., Compressive mechanical properties of human cancellous bone after gamma irradiation. J. Bone Joint Surg. 74:5 (1992), 747–752.
Ashman, R.B., Rho, J.Y., Turner, C.H., Anatomical variation of orthotropic elastic moduli of the proximal human tibia. J. Biomech. 22:8–9 (1989), 895–900.
Buckland-Wright, C., Subchondral bone changes in hand and knee osteoarthritis detected by radiography. Osteoarthr. Cartil. 12:0 (2004), 10–19.
Burden, F., Winkler, D., Bayesian regularization of neural networks. Livingstone, D., (eds.) Artificial Neural Networks, 2009, Humana Press, 23–42.
Carter, D.R., Hayes, W.C., The compressive behavior of bone as a two-phase porous structure. J. Bone Joint Surg. 59:7 (1977), 954–962.
Carter, D.R., Hayes, W.C., The compressive behavior of bone as a two-phase porous structure. J. Bone Joint Surg. Am. 59:7 (1977), 954–962.
Chappard, C., et al. Subchondral bone micro-architectural alterations in osteoarthritis: a synchrotron micro-computed tomography study. Osteoarthr. Cartil. 14:3 (2006), 215–223.
Chelouah, R., Siarry, P., Genetic and Nelder–Mead algorithms hybridized for a more accurate global optimization of continuous multiminima functions. Eur. J. Oper. Res. 148 (2003), 335–348.
Chiba, K., et al. Three-dimensional analysis of subchondral cysts in hip osteoarthritis: an ex vivo HR-pQCT study. Bone 66 (2014), 140–145.
Clark, J.M., Huber, J.D., The structure of the human subchondral plate. J. Bone Joint Surg. (Br.) 72:5 (1990), 866–873.
Ding, M., Odgaard, A., Hvid, I., Changes in the three-dimensional microstructure of human tibial cancellous bone in early osteoarthritis. J. Bone Joint Surg. Br. Vol. 85-B:6 (2003), 906–912.
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. 46:10 (2013), 1655–1662.
Enns-Bray, W.S., et al. Mapping anisotropy of the proximal femur for enhanced image based finite element analysis. J. Biomech. 47:13 (2014), 3272–3278.
Gibson, L.J., The mechanical behaviour of cancellous bone. J. Biomech. 18:5 (1985), 317–328.
Goldring, M.B., Goldring, S.R., Articular cartilage and subchondral bone in the pathogenesis of osteoarthritis. Ann. N. Y. Acad. Sci. 1192:1 (2010), 230–237.
Goulet, R.W., et al. The relationship between the structural and orthogonal compressive properties of trabecular bone. J. Biomech. 27:4 (1994), 375–389.
Gray, H.A., et al. Experimental validation of a finite element model of a human cadaveric tibia. J. Biomech. Eng., 130(3), 2008, 031016.
Gray, H.A., et al. Experimental validation of a finite element model of a human cadaveric tibia. J. Biomech. Eng., 130(3), 2008, 031016.
Harrigan, T.P., et al. Limitations of the continuum assumption in cancellous bone. J. Biomech. 21:4 (1988), 269–275.
Helgason, B., et al. Mathematical relationships between bone density and mechanical properties: a literature review. Clin. Biomech. 23:2 (2008), 135–146.
Hodgskinson, R., Currey, J.D., Young's modulus, density and material properties in cancellous bone over a large density range. J. Mater. Sci. Mater. Med. 3:5 (1992), 377–381.
Holland, J.H., Outline for logical theory of adaptive systems. J. ACM 3 (1962), 297–314.
Johnston, J.D., et al. Predicting subchondral bone stiffness using a depth-specific CT topographic mapping technique in normal and osteoarthritic proximal tibiae. Clin. Biomech. 26:10 (2011), 1012–1018.
Keaveny, T.M., et al. Trabecular bone modulus and strength can depend on specimen geometry. J. Biomech. 26:8 (1993), 991–1000.
Keaveny, T.M., et al. Systematic and random errors in compression testing of trabecular bone. J. Orthop. Res. 15:1 (1997), 101–110.
Keller, T.S., Predicting the compressive mechanical behavior of bone. J. Biomech. 27:9 (1994), 1159–1168.
Kersh, M.E., et al. Measurement of structural anisotropy in femoral trabecular bone using clinical-resolution CT images. J. Biomech. 46:15 (2013), 2659–2666.
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. 28:11 (1994), 1329–1336.
Larsson, D., et al. Assessment of transverse isotropy in clinical-level CT images of trabecular bone using the gradient structure tensor. Ann. Biomed. Eng. 42:5 (2014), 950–959.
Li, B., Aspden, R.M., Mechanical and material properties of the subchondral bone plate from the femoral head of patients with osteoarthritis or osteoporosis. Ann. Rheum. Dis. 56:4 (1997), 247–254.
Li, B., Aspden, R.M., Composition and mechanical properties of cancellous bone from the femoral head of patients with osteoporosis or osteoarthritis. J. Bone Miner. Res. 12:4 (1997), 641–651.
Linde, F., Hvid, I., Madsen, F., The effect of specimen geometry on the mechanical behaviour of trabecular bone specimens. J. Biomech. 25:4 (1992), 359–368.
MacNeil, J.A., Boyd, S.K., Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method. Bone 42:6 (2008), 1203–1213.
McKoy, B.E., K.Q., YH, A., Indentation testing of bone. An, Y.H., Draughn, R.A., (eds.) Mechanical Testing of Bone and the Bone-Implant Interface, 2000, CRC Press, Boca Raton, 233–256.
Milz, S., Putz, R., Quantitative morphology of the subchondral plate of the tibial plateau. J. Anat. 185:Pt 1 (1994), 103–110.
Morgan, E.F., Bayraktar, H.H., Keaveny, T.M., Trabecular bone modulus–density relationships depend on anatomic site. J. Biomech. 36:7 (2003), 897–904.
Nazemi, S.M., et al. Prediction of local proximal tibial subchondral bone structural stiffness using subject-specific finite element modeling: effect of selected density–modulus relationship. Clin. Biomech. 30:7 (2015), 703–712.
Nazemi, S.M., Cooper, D.M., Johnston, J.D., Quantifying trabecular bone material anisotropy and orientation using low resolution clinical CT images: a feasibility study. Med. Eng. Phys., 2016 (Epub).
Nelder, J.A., Mead, R., A simplex method for function minimization. Comput. J. 7:4 (1965), 308–313.
Odgaard, A., Linde, F., The underestimation of Young's modulus in compressive testing of cancellous bone specimens. J. Biomech. 24:8 (1991), 691–698.
Pakdel, A., et al. Generalized method for computation of true thickness and X-ray intensity information in highly blurred sub-millimeter bone features in clinical CT images. Phys. Med. Biol. 57:23 (2012), 8099–8116.
Peng, L., et al. Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions. Med. Eng. Phys. 28:3 (2006), 227–233.
Radin, E.L., Rose, R.M., Role of subchondral bone in the initiation and progression of cartilage damage. Clin. Orthop. Relat. Res.(213), 1986, 34–40.
Radin, E.L., Paul, I.L., Rose, R.M., Role of mechanical factors in pathogenesis of primary osteoarthritis. Lancet 1:7749 (1972), 519–522.
Radin, E.L., et al. Response of joints to impact loading. 3. Relationship between trabecular microfractures and cartilage degeneration. J. Biomech. 6:1 (1973), 51–57.
Rho, J.-Y., An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. Ultrasonics 34:8 (1996), 777–783.
Rho, J.Y., Hobatho, M.C., Ashman, R.B., Relations of mechanical properties to density and CT numbers in human bone. Med. Eng. Phys. 17:5 (1995), 347–355.
Schneider, R., et al. Inhomogeneous, orthotropic material model for the cortical structure of long bones modelled on the basis of clinical CT or density data. Comput. Methods Appl. Mech. Eng. 198:27–29 (2009), 2167–2174.
Snyder, S.M., Schneider, E., Estimation of mechanical properties of cortical bone by computed tomography. J. Orthop. Res. 9:3 (1991), 422–431.
Szwedowski, T.D., et al. An optimized process flow for rapid segmentation of cortical bones of the craniofacial skeleton using the level-set method. Dentomaxillofac. Radiol., 42(4), 2013, 20120208.
Tabor, Z., Rokita, E., Quantifying anisotropy of trabecular bone from gray-level images. Bone 40:4 (2007), 966–972.
Ün, K., Bevill, G., Keaveny, T.M., The effects of side-artifacts on the elastic modulus of trabecular bone. J. Biomech. 39:11 (2006), 1955–1963.
Venalainen, M.S., et al. Importance of material properties and porosity of bone on mechanical response of articular cartilage in human knee joint—a two-dimensional finite element study. J. Biomech. Eng., 136(12), 2014, 121005.
Verhulp, E., van Rietbergen, B., Huiskes, R., Comparison of micro-level and continuum-level voxel models of the proximal femur. J. Biomech. 39:16 (2006), 2951–2957.
Yamada, K., et al. Subchondral bone of the human knee joint in aging and osteoarthritis. Osteoarthr. Cartil. 10:5 (2002), 360–369.
Zysset, P.K., Sonny, M., Hayes, W.C., Morphology-mechanical property relations in trabecular bone of the osteoarthritic proximal tibia. J. Arthroplast. 9:2 (1994), 203–216.