Mechanical Behavior and Adaptation of Trabecular Bone in Relation to Bone Morphology

Year	Entry
1990	Beaupré GS, Orr TE, Carter DR. An approach for time‐dependent bone modeling and remodeling: theoretical development. J Orthop Res. September 1990;8(5):651-661.
1985	Gibson LJ. The mechanical behaviour of cancellous bone. J Biomech. 1985;18(5):317-328.
1992	Riggs BL, Melton LJ III. The prevention and treatment of osteoporosis. NEJM. August 27, 1992;327(9):620-627.
1984	Ashman RB, Cowin SC, Van Buskirk WC, Rice JC. A continuous wave technique for the measurement of the elastic properties of cortical bone. J Biomech. 1984;17(5):349-361.
1993	Keaveny TM, Borchers RE, Gibson LJ, Hayes WC. Theoretical analysis of the experimental artifact in trabecular bone compressive modulus [published correction appears in J Biomech. 1993;26(9):1143]. J Biomech. April–May 1993;26(4-5):599-607.
1994	Keaveny TM, Guo XE, Wachtel EF, McMahon TA, Hayes WC. Trabecular bone exhibits fully linear elastic behavior and yields at low strains. J Biomech. 1994;27(9):1127-1136.
1972	Martin RB. The effects of geometric feedback in the development of osteoporosis. J Biomech. September 1972;5(5):447-455.
1989	Linde F, Hvid I, Pongsoipetch B. Energy absorptive properties of human trabecular bone specimens during axial compression. J Orthop Res. May 1989;7(3):432-439.
1991	Ciarelli MJ, Goldstein SA, Kuhn JL, Cody DD, Brown MB. Evaluation of orthogonal mechanical properties and density of human trabecular bone from the major metaphyseal regions with materials testing and computed tomography. J Orthop Res. May 1991;9(5):674-682.
1985	Beaupre GS, Hayes WC. Finite element analysis of a three-dimensional open-celled model for trabecular bone. J Biomech Eng. August 1985;107(3):249-256.
1994	Bonse U, Busch F, Günnewig O, Beckmann F, Pahl R, Delling G, Hahn M, Graeff W. 3D computed X-ray tomography of human cancellous bone at 8 μm spatial and 10⁻⁴ energy resolution. Bone Miner. April 1994;25(1):25-38.
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	Harrigan TP, Jasty M, Mann RW, Harris WH. Limitations of the continuum assumption in cancellous bone. J Biomech. 1988;21(4):269-275.
1996	van Rietbergen B, Odgaard A, Kabel J, Huiskes R. Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture. J Biomech. December 1996;29(12):1653-1657.
1982	Williams JL, Lewis JL. Properties and an anisotropic model of cancellous bone from the proximal tibial epiphysis. J Biomech Eng. February 1982;104(1):50-56.
1993	Dalstra M, Huiskes R, Odgaard A, van Erning L. Mechanical and textural properties of pelvic trabecular bone. J Biomech. April–May 1993;26(4-5):523-535.
1990	Odgaard A, Jensen EB, Gundersen HJG. Estimation of structural anisotropy based on volume orientation: a new concept. J Microsc (Oxford). February 1990;157(pt 2):149-162.
1989	Martin RB, Burr DB. Structure, Function, and Adaptation of Compact Bone. New York, NY: Raven Press; 1989.
1990	Beaupré GS, Orr TE, Carter DR. An approach for time‐dependent bone modeling and remodeling—application: a preliminary remodeling simulation. J Orthop Res. September 1990;8(5):662-670.
1992	Hodgskinson R, Currey JD. Young's modulus, density and material properties in cancellous bone over a large density range. J Mater Sci Mater Med. September 1992;3(5):377-381.
1990	Hodgskinson R, Currey JD. The effect of variation in structure on the Young's modulus of cancellous bone: a comparison of human and non-human material. Proc Inst Mech Eng Part H-J Eng Med. 1990;204(2):115-121.
1990	Orr TE, Beaupré GS, Carter DR, Schurman DJ. Computer predictions of bone remodeling around porous-coated implants. J Arthoplast. September 1990;5(3):191-200.
1992	Frost HM. Perspectives: bone's mechanical usage windows. Bone Miner. December 1992;19(3):257-271.
1994	Mullender MG, Huiskes R, Weinans H. A physiological approach to the simulation of bone remodeling as a self-organizational control process. J Biomech. November 1994;27(11):1389-1394.
1989	Ryan SD, Williams JL. Tensile testing of rodlike trabeculae excised from bovine femoral bone. J Biomech. 1989;22(4):351-355.
1993	Goldstein SA, Goulet R, McCubbrey D. Measurement and significance of three-dimensional architecture to the mechanical integrity of trabecular bone. Calcif Tiss Int. February 1993;53(suppl 1):S127-S133.
1991	Odgaard A, Linde F. The underestimation of Young's modulus in compressive testing of cancellous bone specimens. J Biomech. 1991;24(8):691-698.
1987	Carter DR. Mechanical loading history and skeletal biology. J Biomech. 1987;20(11-12):1095-1109.
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.
1994	Goulet RW, Goldstein SA, Ciarelli MJ, Kuhn JL, Brown MB, Feldkamp LA. The relationship between the structural and orthogonal compressive properties of trabecular bone. J Biomech. April 1994;27(4):375-389.
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.
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1974	Whitehouse WJ. The quantitative morphology of anisotropic trabecular bone. J Microsc (Oxford). July 1974;101:153-168.
1989	Kuhn JL, Goldstein SA, Choi K, London M, Feldkamp LA, Matthews LS. Comparison of the trabecular and cortical tissue moduli from human iliac crests. J Orthop Res. November 1989;7(6):876-884.
1994	Müller R, Hildebrand T, Rüegsegger P. Non-invasive bone biopsy: a new method to analyse and display the three-dimensional structure of trabecular bone. Phys Med Biol. January 1994;39(1):145-164.
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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.
1989	Carter DR, Orr TE, Fyhrie DP. Relationships between loading history and femoral cancellous bone architecture. J Biomech. 1989;22(3):231-244.
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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.
1993	Weinans H, Huiskes R, Van Rietbergen B, Sumner DR, Turner TM, Galante JO. Adaptive bone remodeling around bonded noncemented total hip arthroplasty: a comparison between animal experiments and computer simulation. J Orthop Res. July 1993;11(4):500-513.
1992	Weinans H, Huiskes R, Grootenboer HJ. The behavior of adaptive bone-remodeling simulation models. J Biomech. December 1992;25(12):1425-1441.
1995	Mullender MG, Huiskes R. Proposal for the regulatory mechanism of Wolff's law. J Orthop Res. July 1995;13(4):503-512.
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1985	Cowin SC. The relationship between the elasticity tensor and the fabric tensor. Mech Mater. 1985;4(2):137-147.
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.
1991	Cowin SC, Moss-Salentijn L, Moss ML. Candidates for the mechanosensory system in bone. J Biomech Eng. May 1991;113(2):191-197.
1963	Hill R. Elastic properties of reinforced solids: some theoretical principles. J Mech Phys Solids. September 1963;11(5):357-372.
1989	Cowin SC, Mehrabadi MM. Identification of the elastic symmetry of bone and other materials. J Biomech. 1989;22(6-7):503-515.
1990	Odgaard A, Andersen K, Melsen F, Gundersen HJG. A direct method for fast three-dimensional serial reconstruction. J Microsc (Oxford). September 1990;159(pt 3):335-342.
1892	Wolff J. Das Gesetz der Transformation der Knochen. Berlin: Hirschwald; 1892.
1991	Chrischilles EA, Butler CD, Davis CS, Wallace RB. A model of lifetime osteoporosis impact. Arch Intern Med. October 1991;151(10):2026-2032.
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.
1984	Bergmann G, Siraky J, Rohlmann A, Koelbel R. A comparison of hip joint forces in sheep, dog and man. J Biomech. 1984;17(12):907-921.
1990	Choi K, Kuhn JL, Ciarelli MJ, Goldstein SA. The elastic moduli of human subchondral, trabecular, and cortical bone tissue and the size-dependency of cortical bone modulus. J Biomech. 1990;23(11):1103-1113.
1994	Zhu M, Keller TS, Spengler DM. Effects of specimen load-bearing and free surface layers on the compressive mechanical properties of cellular materials. J Biomech. 1994;27(1):57-66.
1992	Choi K, Goldstein SA. A comparison of the fatigue behavior of human trabecular and cortical bone tissue. J Biomech. 1992;25(12):1371-1381.
1987	Engh CA, Bobyn JD, Glassman AH. Porous-coated hip replacement: the factors governing bone ingrowth, stress shielding, and clinical results. J Bone Joint Surg. January 1987;69B(1):45-55.
1990	Turner CH, Cowin SC, Rho JY, Ashman RB, Rice JC. The fabric dependence of the orthotropic elastic constants of cancellous bone. J Biomech. 1990;23(6):549-561.
1991	Hollister SJ, Fyhrie DP, Jepsen KJ, Goldstein SA. Application of homogenization theory to the study of trabecular bone mechanics. J Biomech. 1991;24(9):825-839.
1992	Hollister SJ, Kikuchi N. A comparison of homogenization and standard mechanics analyses for periodic porous composites. Comput Mech. March 1992;10(2):73-95.
1989	Feldkamp LA, Goldstein SA, Parfitt MA, Jesion G, Kleerekoper M. The direct examination of three‐dimensional bone architecture in vitro by computed tomography. J Bone Miner Res. 1989;4(1):3-11.
1993	Van Rietbergen B, Huiskes R, Weinans H, Sumner DR, Turner TM, Galante JO. The mechanism of bone remodeling and resorption around press-fitted THA stems. J Biomech. April–May 1993;26(4-5):369-382.
1995	van Rietbergen B, Weinans H, Huiskes R, Odgaard A. A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models. J Biomech. January 1995;28(1):69-81.
1996	Van Rietbergen B, Weinans H, Huiskes R, Polman BJW. Computational strategies for iterative solutions of large FEM applications employing voxel data. Int J Num Meth Eng. August 30, 1996;39(16):2743-2767.
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.
1993	Rho JY, Ashman RB, Turner CH. Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements. J Biomech. February 1993;26(2):111-119.
1989	Huiskes R, Weinans H, Dalstra M. Adaptive bone remodeling and biomechanical design considerations: for noncemented thtal ffip arthroplasty. Orthopedics. September 1989;12(9):1255-1267.
1975	Rodan GA, Bourret LA, Harvey A, Mensi T. Cyclic AMP and cyclic GMP: mediators of the mechanical effects on bone remodeling. Science. August 8, 1975;189(4201):467-469.
1983	Kragstrup J, Melsen F, Mosekilde L. Thickness of bone formed at remodeling sites in normal human iliac trabecular bone: variations with age and sex. Metab Bone Dis Rel Res. 1983–1984;5(1):17-21.
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1984	Rubin CT. Skeletal strain and the functional significance of bone architecture. Calcif Tiss Int. March 1984;36(suppl 1):S11-S18.

Year	Entry
2004	Haug E, Choi H-Y, Robin S, Beaugonin M. Human models for crash and impact simulation. In: Ayache N, ed. Computational Models for the Human Body. Amsterdam, The Netherlands: Elsevier B.V; 2004:231-452. Ciarlet PG, ed. Handbook of Numerical Analysis; vol 12.
2003	Zysset PK. A review of morphology–elasticity relationships in human trabecular bone: theories and experiments. J Biomech. October 2003;36(10):1469-1485.
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.