Multiaxial structure-property relations in trabecular bone

Snyder, B. D.; Hayes, W. C.

Year	Entry
1985	Hvid I, Hansen SL. Trabecular bone strength patterns at the proximal tibial epiphysis. J Orthop Res. 1985;3(4):464-472.
1967	Atkinson PJ. Variation in trabecular structure of vertebrae with age. Calcif Tiss Res. December 1967;1(1):24-32.
1985	Gibson LJ. The mechanical behaviour of cancellous bone. J Biomech. 1985;18(5):317-328.
1988	Ashman RB, Rho JY. Elastic modulus of trabecular bone material. J Biomech. 1988;21(3):177-181.
1987	Bentzen SM, Hvid I, Jorgensen J. Mechanical strength of tibial trabecular bone evaluated by X-ray computed tomography. J Biomech. 1987;20(8):743-752.
1987	Ashman RB, Corin JD, Turner CH. Elastic properties of cancellous bone: measurement by an ultrasonic technique. J Biomech. 1987;20(10):979-986.
1970	Merz WA, Schenk RK. Quantitative structural analysis of human cancellous bone. Acta Anat. 1970;75(1):54-66.
1985	Kaplan SJ, Hayes WC, Stone JL, Beaupré GS. Tensile strength of bovine trabecular bone. J Biomech. 1985;18(9):723-727.
1985	Kleerekoper M, Villanueva AR, Stanciu J, Rao DS, Parfitt AM. The role of three-dimensional trabecular microstructure in the pathogenesis of vertebral compression fractures. Calcif Tiss Int. 1985;37(6):594-597.
1970	Singh M, Nagrath AR, Maini PS. Changes in trabecular pattern of the upper end of the femur as an index of osteoporosis. J Bone Joint Surg. April 1970;52A(3):457-467.
1989	Magaziner J, Simonsick EM, Kashner TM, Hebel JR, Kenzora JE. Survival experience of aged hip fracture patients. Am J Public Health. March 1989;79(3):274-278.
1989	Fazzalari NL, Crisp DJ, Vernon-Roberts B. Mathematical modelling of trabecular bone structure: the evaluation of analytical and quantified surface to volume relationships in the femoral head and iliac crest. J Biomech. 1989;22(8-9):901-910.
1986	Riggs BL, Melton LJ III. Involutional osteoporosis. NEJM. June 26, 1986;314(26):1676-1686.
1972	Radin EL, Paul IL, Rose RM. Role of mechanical factors in pathogenesis of primary osteoarthritis. Lancet. March 4, 1972;299(7749):519-522.
1987	Mosekilde L, Mosekilde L, Danielsen CC. Biomechanical competence of vertebral trabecular bone in relation to ash density and age in normal individuals. Bone. 1987;8(2):79-85.
1988	Lang SM, Moyle DD, Berg EW, Detorie N, Gilpin AT, Pappas NJ Jr, Reynolds JC, Tkacik M, Waldron RL II. Correlation of mechanical properties of vertebral trabecular bone with equivalent mineral density as measured by computed tomography. J Bone Joint Surg. December 1988;70A(10):1531-1538.
1980	Rohlmann A, Zilch H, Bergmann G, Kölbel R. Material properties of femoral cancellous bone in axial loading, I: time independent properties. Arch Orthop Trauma Surg. September 1980;97(2):95-102.
1990	Lotz JC, Hayes WC. The use of quantitative computed tomography to estimate risk of fracture of the hip from falls. J Bone Joint Surg. June 1990;72A(5):689-700.
1989	Kuhn JL, Goldstein SA, Ciarelli MJ, Matthews LS. The limitations of canine trabecular bone as a model for human: a biomechanical study. J Biomech. 1989;22(2):95-107.
1987	Huiskes R, Weinans H, Grootenboer HJ, Dalstra M, Fudala B, Slooff TJ. Adaptive bone-remodeling theory applied to prosthetic-design analysis. J Biomech. 1987;20(11-12):1135-1150.
1976	Carter DR, Hayes WC. Bone compressive strength: the influence of density and strain rate. Science. September 10, 1976;194(4270):1174-1176.
1977	Carter DR, Hayes WC. The compressive behavior of bone as a two-phase porous structure. J Bone Joint Surg. 1977;59A(7):954-962.
1988	Layton MW, Goldstein SA, Goulet RW, Feldkamp LA, Kubinski DJ, Bole GG. Examination of subchondral bone architecture in experimental osteoarthritis by microscopic computed axial tomography. Arthritis Rheum. November 1988;31(11):1400-1405.
1988	Linde F, Gøthgen CB, Hvid I, Pongsoipetch B, Bentzen S. Mechanical properties of trabecular bone by a non‐destructive compression testing approach. Eng Med. 1988;17(1):23-29.
1989	Odgaard A, Hvid I, Linde F. Compressive axial strain distributions in cancellous bone specimens. J Biomech. 1989;22(8-9):829-835.
1986	Radin EL, Rose RM. Role of subchondral bone in the initiation and progression of cartilage damage. Clin Orthop Relat Res. December 1986;213:34-40.
1985	McBroom RJ, Hayes WC, Edwards WT, Goldberg RP, White AA III. Prediction of vertebral body compressive fracture using quantitative computed tomography. J Bone Joint Surg. 1985;67A(8):1206-1214.
1983	Parfitt AM, Mathews CH, Villanueva AR, Kleerekoper M, Frame B, Rao DS. Relationships between surface, volume, and thickness of iliac trabecular bone in aging and in osteoporosis: implications for the microanatomic and cellular mechanisms of bone loss. J Clin Invest. October 1983;72(4):1396-1409.
1983	Goldstein SA, Wilson DL, Sonstegard DA, Matthews LS. The mechanical properties of human tibial trabecular bone as a function of metaphyseal location. J Biomech. 1983;16(12):965-969.
1984	Harrigan TP, Mann RW. Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor. J Mater Sci. March 1984;19(3):761-767.
1988	Bergot C, Laval-Jeantet A-M, Prêteux F, Meunier A. Measurement of anisotropic vertebral trabecular bone loss during aging by quantitative image analysis. Calcif Tiss Int. September 1988;43(3):143-149.
1987	Goldstein SA. The mechanical properties of trabecular bone: dependence on anatomic location and function. J Biomech. 1987;20(11-12):1055-1061.
1984	Parfitt AM. Age-related structural changes in trabecular and cortical bone: cellular mechanisms and biomechanical consequences. Calcif Tiss Int. 1984;36(suppl 1):S123-S128.
1990	Lotz JC, Gerhart TN, Hayes WC. Mechanical properties of trabecular bone from the proximal femur: a quantitative CT study. J Comput Assist Tomogr. January–February 1990;14(1):107-114.
1989	Hvid I, Bentzen SM, Linde F, Mosekilde L, Pongsoipetch B. X-ray quantitative computed tomography: the relations to physical properties of proximal tibial trabecular bone specimens. J Biomech. 1989;22(8-9):837-844.
1989	Esses SI, Lotz JC, Hayes WC. Biomechanical properties of the proximal femur determined in vitro by single‐energy quantitative computed tomography. J Bone Miner Res. October 1989;4(5):715-722.
1989	Carter DR, Orr TE, Fyhrie DP. Relationships between loading history and femoral cancellous bone architecture. J Biomech. 1989;22(3):231-244.
1970	Galante J, Rostoker W, Ray RD. Physical properties of trabecular bone. Calcif Tiss Res. 1970;5(1):236-246.
1988	Mosekilde L. Age-related changes in vertebral trabecular bone architecture—assessed by a new method. Bone. 1988;9(4):247-250.
1983	Stone JL, Beaupre GS, Hayes WC. Multiaxial strength characteristics of trabecular bone. J Biomech. 1983;16(9):743-752.
1987	Carter DR, Fyhrie DP, Whalen RT. Trabecular bone density and loading history: regulation of connective tissue biology by mechanical energy. J Biomech. 1987;20(8):785-794.
1975	Townsend PR, Raux P, Rose RM, Miegel RE, Radin EL. The distribution and anisotropy of the stiffness of cancellous bone in the human patella. J Biomech. 1975;8(6):363-367.
1988	Rice JC, Cowin SC, Bowman JA. On the dependence of the elasticity and strength of cancellous bone on apparent density. J Biomech. 1988;21(2):155-168.
1988	Phillips S, Fox N, Jacobs J, Wright WE. The direct medical costs of osteoporosis for american women aged 45 and older, 1986. Bone. 1988;9(5):271-279.
1977	Ducheyne P, Heymans L, Martens M, Aernoudt E, Meester Pd, Mulier JC. The mechanical behaviour of intracondylar cancellous bone of the femur at different loading rates. J Biomech. 1977;10(11-12):747-762.
1984	Brown TD, Radin EL, Martin RB, Burr DB. Finite element studies of some juxtarticular stress changes due to localized subchondral stiffening. J Biomech. 1984;17(1):11-24.
1967	Bell GH, Dunbar O, Beck JS, Gibb A. Variations in strength of vertebrae with age and their relation to osteoporosis. Calcif Tiss Res. 1967;1(1):75-86.
1985	Cowin SC. The relationship between the elasticity tensor and the fabric tensor. Mech Mater. 1985;4(2):137-147.
1983	Martens M, Van Audekercke R, Delport P, De Meester P, Mulier JC. The mechanical characteristics of cancellous bone at the upper femoral region. J Biomech. 1983;16(12):971-983.
1980	Brown TD, Ferguson AB Jr. Mechanical property distributions in the cancellous bone of the human proximal femur. Acta Orthop Scand. 1980;51(1):429-437.
1987	Cheal EJ, Snyder BD, Nunamaker DM, Hayes WC. Trabecular bone remodeling around smooth and porous implants in an equine patellar model. J Biomech. 1987;20(11-12):1121-1134.
1989	Cowin SC, Mehrabadi MM. Identification of the elastic symmetry of bone and other materials. J Biomech. 1989;22(6-7):503-515.

Year	Entry
1996	van Rietbergen B. Mechanical Behavior and Adaptation of Trabecular Bone in Relation to Bone Morphology [PhD thesis]. Nijmegen, Netherlands: Catholic University of Nijmegen; 1996.
2001	van Rietbergen B, Huiskes R. Elastic constants of cancellous bone. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:15-1–15-24.
2001	Keaveny TM. Strength of trabecular bone. In: Cowin SC, ed. Bone Mechanics Handbook. 2nd ed. Boca Raton, FL: CRC Press; 2001:16-1–16-42.
2009	Rincón-Kohli L, Zysset PK. Multi-axial mechanical properties of human trabecular bone. Biomech Model Mechanobiol. June 2009;8(3):195-208.
1993	Odgaard A, Gundersen HJG. Quantification of connectivity in cancellous bone, with special emphasis on 3-D reconstructions. Bone. March–April 1993;14(2):173-182.
1994	Odgaard A, Andersen K, Ullerup R, Frich LH, Melsen F. Three-dimensional reconstruction of entire vertebral bodies. Bone. May–June 1994;15(3):335-342.
1997	Odgaard A. Three-dimensional methods for quantification of cancellous bone architecture. Bone. 1997;20(4):315-328.
1999	Kabel J, Odgaard A, van Rietbergen B, Huiskes R. Connectivity and the elastic properties of cancellous bone. Bone. 1999;24(2):115-120.
2006	Hernandez CJ, Keaveny TM. A biomechanical perspective on bone quality. Bone. December 2006;39(6):1173-1181.
1993	Guy JA, Shea M, Peter CP, Morrissey R, Hayes WC. Continuous alendronate treatment throughout growth, maturation, and aging in the rat results in increases in bone mass and mechanical properties. Calcif Tiss Int. October 1993;53(4):283-288.
1994	Zysset PK, Sonny M, Hayes WC. Morphology-mechanical property relations in trabecular bone of the osteoarthritic proximal tibia. J Arthoplast. 1994;9(2):203-216.
1996	Zysset PK, Curnier A. A 3D damage model for trabecular bone based on fabric tensors. J Biomech. December 1996;29(12):1549-1558.
1997	Odgaard A, Kabel J, van Rietbergen B, Dalstra M, Huiskes R. Fabric and elastic principal directions of cancellous bone are closely related. J Biomech. 1997;30(5):487-495.
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.
2003	Zysset PK. A review of morphology–elasticity relationships in human trabecular bone: theories and experiments. J Biomech. October 2003;36(10):1469-1485.
1993	Keaveny TM, Hayes WC. A 20-year perspective on the mechanical properties of trabecular bone. J Biomech Eng. November 1993;115(4B):534-542.
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	Fenech CM, Keaveny TM. A cellular solid criterion for predicting the axial-shear failure properties of bovine trabecular bone. J Biomech Eng. August 1999;121(4):414-422.
1996	Hipp JA, Jansujwicz A, Simmons CA, Snyder BD. Trabecular bone morphology from micro-magnetic resonance imaging. J Bone Miner Res. February 1996;11(2):286-292.
1997	Simmons CA, Hipp JA. Method-based differences in the automated analysis of the three-dimensional morphology of trabecular bone. J Bone Miner Res. June 1997;12(6):942-947.
2012	Souzanchi MF, Palacio-Mancheno P, Borisov YA, Cardoso L, Cowin SC. Microarchitecture and bone quality in the human calcaneus: local variations of fabric anisotropy. J Bone Miner Res. December 2012;27(12):2562-2572.
1998	Smit TH, Schneider E, Odgaard A. Star length distribution: a volume-based concept for the characterization of structural anisotropy. J Microsc (Oxford). September 1998;191(3):249-257.
1998	Van Rietbergen B, Odgaard A, Kabel J, Huiskes R. Relationships between bone morphology and bone elastic properties can be accurately quantified using high‐resolution computer reconstructions. J Orthop Res. January 1998;16(1):23-28.
1991	Hayes WC, Piazza SJ, Zysset PK. Biomechanics of fracture risk prediction of the hip and spine by quantitative computed tomography. Radiol Clin North Am. 1991;29(1):1-18.
1999	Yang G. Averaging and Bounding of Anisotropic Elastic Constants [PhD thesis]. New York, NY: The City University of New York; 1999.
2013	Souzanchi MF. The Effect of Microarchitecture and Fabric Anisotropy of Trabecular Bone on Its Mechanical Behavior [PhD thesis]. New York, NY: The City University of New York; 2013.
2016	Florencio FL. Multiscale Modelling of Trabecular Bone: From Micro to Macroscale [PhD thesis]. Edinburgh, Scotland: University of Edinburgh; 2016.
1994	Zysset P. A Constitutive Law for Trabecular Bone [PhD thesis]. Lausanne, Switzerland: École Polytechnique Fédérale de Lausanne; 1994.
1996	Ford CM. Failure of the Human Proximal Femur: Material and Structural Perspectives [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; September 1996.
1996	Silva MJ. Predicting the Failure Behavior of the Human Vertebral Body [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; February 1996.
2011	Yao H. Microstructure-Based Characterization and Modeling of Trabecular Bone Deformation and Failure [PhD thesis]. Southern Methodist University; August 3, 2011.