A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stres

Hollister, S. J.; Brennan, J. M.; Kikuchi, N.

Year	Entry
2002	Müller R. The Zürich experience: one decade of three-dimensional high-resolution computed tomography. Top Magn Reson Imaging. 2002;13(5):307-322.
2009	Shi X, Wang X, Niebur GL. Effects of loading orientation on the morphology of the predicted yielded regions in trabecular bone. Ann Biomed Eng. 2009;37(2):354-362.
2001	Keaveny TM, Morgan EF, Niebur GL, Yeh OC. Biomechanics of trabecular bone. Annu Rev Biomed Eng. 2001;3:307-333.
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2009	Rincón-Kohli L, Zysset PK. Multi-axial mechanical properties of human trabecular bone. Biomech Model Mechanobiol. June 2009;8(3):195-208.
1997	Odgaard A. Three-dimensional methods for quantification of cancellous bone architecture. Bone. 1997;20(4):315-328.
1997	Silva MJ, Gibson LJ. Modeling the mechanical behavior of vertebral trabecular bone: effects of age-related changes in microstructure. Bone. 1997;21(2):191-199.
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1999	Ulrich D, van Rietbergen B, Laib A, Rüegsegger P. The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone. Bone. 1999;25(1):55-60.
2002	Guo XE, Kim CH. Mechanical consequence of trabecular bone loss and its treatment: a three-dimensional model simulation. Bone. February 2002;30(2):404-411.
2002	Rubin C, Turner AS, Mallinckrodt C, Jerome C, Mcleod K, Bain S. Mechanical strain, induced noninvasively in the high-frequency domain, is anabolic to cancellous bone, but not cortical bone. Bone. March 2002;30(3):445-452.
2002	Homminga J, McCreadie BR, Ciarelli TE, Weinans H, Goldstein SA, Huiskes R. Cancellous bone mechanical properties from normals and patients with hip fractures differ on the structure level, not on the bone hard tissue level. Bone. May 2002;30(5):759-764.
2002	Pistoia W, van Rietbergen B, Lochmüller E-M, Lill CA, 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. June 2002;30(6):842-848.
2003	Pistoia W, van Rietbergen B, Rüegsegger P. Mechanical consequences of different scenarios for simulated bone atrophy and recovery in the distal radius. Bone. December 2003;33(6):937-945.
2005	Shefelbine SJ, Simon U, Claes L, Gold A, Gabet Y, Bab I, Müller R, Augat P. Prediction of fracture callus mechanical properties using micro-CT images and voxel-based finite element analysis. Bone. March 2005;36(3):480-488.
2006	Stauber M, Müller R. Volumetric spatial decomposition of trabecular bone into rods and plates: a new method for local bone morphometry. Bone. 2006;38(4):475-484.
2006	Bevill G, Eswaran SK, Gupta A, Papadopoulos P, Keaveny TM. Influence of bone volume fraction and architecture on computed large-deformation failure mechanisms in human trabecular bone. Bone. December 2006;39(6):1218-1225.
2008	MacNeil JA, Boyd SK. Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method. Bone. June 2008;42(6):1203-1213.
2009	Liu XS, Zhang XH, Guo XE. Contributions of trabecular rods of various orientations in determining the elastic properties of human vertebral trabecular bone. Bone. August 2009;45(2):158-163.
2010	Shi X, Liu XS, Wang X, Guo XE, Niebur GL. Effects of trabecular type and orientation on microdamage susceptibility in trabecular bone. Bone. May 2010;46(5):1260-1266.
2020	Varga P, Willie BM, Stephan C, Kozloff KM, Zysset PK. Finite element analysis of bone strength in osteogenesis imperfecta. Bone. April 2020;133:115250.
2021	Li Y, Tseng W-J, de Bakker CMJ, Zhao H, Chung R, Liu XS. Peak trabecular bone microstructure predicts rate of estrogen-deficiency-induced bone loss in rats. Bone. April 2021;145:115862.
2002	van Rietbergen B, Majumdar S, Newitt D, MacDonald B. High-resolution MRI and micro-FE for the evaluation of changes in bone mechanical properties during longitudinal clinical trials: application to calcaneal bone in postmenopausal women after one year of idoxifene treatment. Clin Biomech (Bristol, Avon). February 2002;17(2):81-88.
2008	Verhulp E, Van Rietbergen B, Müller R, Huiskes R. Micro-finite element simulation of trabecular-bone post-yield behaviour: effects of material model, element size and type. Comput Methods Biomech Biomed Eng. August 2008;11(4):389-395.
2001	Weiss JA, Gardiner JC. Computational modeling of ligament mechanics. Crit Rev Biomed Eng. 2001;29(3):303-371.
2005	Morgan EF, Yeh OC, Keaveny TM. Damage in trabecular bone at small strains. Euro J Morphol. February–April 2005;42(1-2):13-21.
2019	Werner B, Ovesy M, Zysset PK. An explicit micro‐FE approach to investigate the post‐yield behaviour of trabecular bone under large deformations. Int J Num Meth Biomed Eng. May 2019;35(5):e3188.
1998	Ladd AJC, Kinney JH. Numerical errors and uncertainties in finite-element modeling of trabecular bone. J Biomech. October 1998;31(10):941-945.
1998	Hou FJ, Lang SM, Hoshaw SJ, Reimann DA, Fyhrie DP. Human vertebral body apparent and hard tissue stiffness. J Biomech. November 1998;31(11):1009-1015.
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2003	Morgan EF, Bayraktar HH, Keaveny TM. Trabecular bone modulus–density relationships depend on anatomic site. J Biomech. July 2003;36(7):897-904.
2004	Bayraktar HH, Morgan EF, Niebur GL, Morris GE, Wong EK, Keaveny TM. Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue. J Biomech. January 2004;37(1):27-35.
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2008	Renders GAP, Mulder L, Langenbach GEJ, van Ruijven LJ, van Eijden TMGJ. Biomechanical effect of mineral heterogeneity in trabecular bone. J Biomech. August 2008;41(13):2793-2798.
2009	Liu XS, Bevill G, Keaveny TM, Sajda P, Guo XE. Micromechanical analyses of vertebral trabecular bone based on individual trabeculae segmentation of plates and rods. J Biomech. February 9, 2009;42(3):249-256.
2010	Shi X, Liu XS, Wang X, Guo XE, Niebur GL. Type and orientation of yielded trabeculae during overloading of trabecular bone along orthogonal directions. J Biomech. September 17, 2010;43(13):2460-2466.
2011	Golden KM, Murphy NB, Cherkaev E. Spectral analysis and connectivity of porous microstructures in bone. J Biomech. 2011;44(2):337-344.
2011	Cherkaev E, Bonifasi-Lista C. Characterization of structure and properties of bone by spectral measure method. J Biomech. January 11, 2011;44(2):345-351.
1998	Guldberg RE, Hollister SJ, Charras GT. The accuracy of digital image-based finite element models. J Biomech Eng. 1998;120(2):289-295.
1998	Zysset PK, Goulet RW, Hollister SJ. A global relationship between trabecular bone morphology and homogenized elastic properties. J Biomech Eng. October 1998;120(5):640-646.
1999	Niebur GL, Yuen JC, Hsia AC, Keaveny TM. Convergence behavior of high-resolution finite element models of trabecular bone. J Biomech Eng. December 1999;121(6):629-635.
2001	Pistoia W, van Rietbergen B, Laib A, Rüegsegger P. High-resolution three-dimensional-pqct images can be an adequate basis for in-vivo μfe analysis of bone. J Biomech Eng. October 2001;123(2):176-183.
2001	Adachi T, Tsubota K-i, Tomita Y, Hollister SJ. Trabecular surface remodeling simulation for cancellous bone using microstructural voxel finite element models. J Biomech Eng. October 2001;123(5):403-409.
2004	Wang X, Liu X, Niebur GL. Preparation of on-axis cylindrical trabecular bone specimens using micro-CT imaging. J Biomech Eng. February 2004;126(1):122-125.
2007	Kim CH, Zhang H, Mikhail G, von Stechow D, Müller R, Kim HS, Guo XE. Effects of thresholding techniques on μCT-based finite element models of trabecular bone. J Biomech Eng. 2007;129(4):481-486.
2009	Bonifasi-Lista C, Cherkaev E, Yeni YN. Analytical approach to recovering bone porosity from effective complex shear modulus. J Biomech Eng. December 2009;131(12):121003.
2014	Chen Y, Pani M, Taddei F, Mazzà C, Li X, Viceconti M. Large-scale finite element analysis of human cancellous bone tissue micro computer tomography data: a convergence study. J Biomech Eng. October 2014;136(10):101013.
2021	Bennison MBL, Pilkey AK, Lievers WB. Misalignment error in cancellous bone apparent elastic modulus depends on bone volume fraction and degree of anisotropy. J Biomech Eng. February 2021;143(2):021005.
1997	Guldberg RE, Caldwell NJ, Guo XE, Goulet RW, Hollister SJ, Goldstein SA. Mechanical stimulation of tissue repair in the hydraulic bone chamber. J Bone Miner Res. August 1997;12(8):1295-1302.
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2010	Liu XS, Zhang XH, Sekhon KK, Adams MF, McMahon DJ, Bilezikian JP, Shane E, Guo XE. High-resolution peripheral quantitative computed tomography can assess microstructural and mechanical properties of human distal tibial bone. J Bone Miner Res. April 2010;25(4):746-756.
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2010	Stein EM, Liu XS, Nickolas TL, Cohen A, Thomas V, McMahon DJ, Zhang C, Yin PT, Cosman F, Nieves J, Guo XE, Shane E. Abnormal microarchitecture and reduced stiffness at the radius and tibia in postmenopausal women with fractures. J Bone Miner Res. December 2010;25(12):2572-2581.
2012	Liu XS, Stein EM, Zhou B, Zhang CA, Nickolas TL, Cohen A, Thomas V, McMahon DJ, Cosman F, Nieves J, Shane E, Guo XE. Individual trabecula segmentation (ITS)‐based morphological analyses and microfinite element analysis of HR‐pQCT images discriminate postmenopausal fragility fractures independent of DXA measurements. J Bone Miner Res. February 2012;27(2):263-272.
2003	van Ruijven LJ, Giesen EBW, Farella M, van Eijden TMGJ. Prediction of mechanical properties of the cancellous bone of the mandibular condyle. J Dent Res. October 2003;82(10):819-823.
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2017	Chen Y, Dall’Ara E, Sales E, Manda K, Wallace R, Pankaj P, Viceconti M. Micro-CT based finite element models of cancellous bone predict accurately displacement once the boundary condition is well replicated: a validation study. J Mech Behav Biomed Mater. January 2017;65:644-651.
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2010	Zhang XH. High Resolution Imaging Based Patient Specific Biomechanical Assessment of Bone Quality [PhD thesis]. New York, NY: Columbia University; 2010.
2016	Wang J. Plate-Rod Microstructural Modeling for Accurate and Fast Assessment of Bone Strength [PhD thesis]. Columbia University; 2016.
2017	Yu Y. Contributions of Anisotropic and Heterogeneous Tissue Modulus to Apparent Trabecular Bone Mechanical Properties [PhD thesis]. New York, NY: Columbia University; 2017.
2007	Cole JH. The Role of Architecture and Tissue Properties in the Structural Integrity of Human Vertebral Cancellous Bone [PhD thesis]. Ithaca, NY: Cornell University; May 2007.
2018	Torres AM. Fatigue Behavior of Cancellous Bone, Microdamage Accumulation, and Biologically Inspired Cellular Solids [PhD thesis]. Ithaca, NY: Cornell University; August 2018.
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2019	Mustafy T. The Short and Long Term Effects of in Vivo Cyclic Axial Compression Applied During Puberty on Bone Growth, Morphometry and Biomechanics [PhD thesis]. École polytechnique de Montréal; July 2019.
2016	Chen Y. Verification and Validation of MicroCT-Based Finite Element Models of Bone Tissue Biomechanics [PhD thesis]. Sheffield, UK: University of Sheffield; July 2016.
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