The relationship between the structural and orthogonal compressive properties of trabecular bone.

In this study, cubes of trabecular bone with a wide range of structural properties were scanned on a micro-computed tomography system to produce complete three-dimensional digitizations from which morphological and architectural parameters could be measured in a nondestructive manner. The cubes were then mechanically tested in uniaxial compression in three orthogonal directions and to failure in one direction to find the orthogonal tangent elastic moduli and ultimate strengths. After testing, the cubes were weighed and ashed to determine the apparent and ash densities. A high correlation between the basic stereologic measurements was found, indicating that there is a relationship between the amount of bone and number of trabeculae in cancellous bone. Regression analysis was used to estimate the modulus and ultimate strength; these regressions accounted for 68-90% of the variance in these measures. These relationships were dependent on the metaphyseal type and donor, with the modulus also dependent on the direction of testing. This indicates that the properties of the individual trabeculae, as well as their amount and organization, may be important in predicting the mechanical properties of cancellous bone.

[1]  S. Goldstein,et al.  Evaluation of orthogonal mechanical properties and density of human trabecular bone from the major metaphyseal regions with materials testing and computed tomography , 1991, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[2]  S C Cowin,et al.  Errors induced by off-axis measurement of the elastic properties of bone. , 1988, Journal of biomechanical engineering.

[3]  J. Lewis,et al.  Properties and an anisotropic model of cancellous bone from the proximal tibial epiphysis. , 1982, Journal of biomechanical engineering.

[4]  F. Linde,et al.  Stiffness behaviour of trabecular bone specimens. , 1987, Journal of biomechanics.

[5]  J. Roberts Polymer molecular structure and mechanical properties , 1965 .

[6]  S. Goldstein,et al.  Evaluation of a microcomputed tomography system to study trabecular bone structure , 1990, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[7]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .

[8]  R. Schenk,et al.  Quantitative structural analysis of human cancellous bone. , 1970, Acta anatomica.

[9]  M. Kleerekoper,et al.  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. , 1983, The Journal of clinical investigation.

[10]  W. J. Whitehouse The quantitative morphology of anisotropic trabecular bone , 1974, Journal of microscopy.

[11]  L. Gibson The mechanical behaviour of cancellous bone. , 1985, Journal of biomechanics.

[12]  F. Linde,et al.  The underestimation of Young's modulus in compressive testing of cancellous bone specimens. , 1991, Journal of biomechanics.

[13]  N L Fazzalari,et al.  Mathematical modelling of trabecular bone structure: the evaluation of analytical and quantified surface to volume relationships in the femoral head and iliac crest. , 1989, Journal of biomechanics.

[14]  R M Rose,et al.  Trabecular architecture of the human patella. , 1975, Journal of biomechanics.

[15]  David Aaron,et al.  A New Concept , 1974 .

[16]  R. B. Ashman,et al.  A comparison between cancellous bone compressive moduli determined from surface strain and total specimen deflection , 1991 .

[17]  R M Rose,et al.  Elastic and viscoelastic properties of trabecular bone: dependence on structure. , 1973, Journal of biomechanics.

[18]  L. Feldkamp,et al.  Practical cone-beam algorithm , 1984 .

[19]  I. Singh The architecture of cancellous bone. , 1978, Journal of anatomy.

[20]  T. Yamamuro,et al.  Microstructural changes of osteopenic trabeculae in the rat. , 1991, Bone.

[21]  I. Hvid,et al.  Bone mineral assay: its relation to the mechanical strength of cancellous bone. , 1985, Engineering in medicine.

[22]  S. Goldstein The mechanical properties of trabecular bone: dependence on anatomic location and function. , 1987, Journal of biomechanics.

[23]  H J Gundersen,et al.  Estimation of structural anisotropy based on volume orientation. A new concept , 1990, Journal of microscopy.

[24]  R. Mann,et al.  Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor , 1984 .

[25]  C. K. Jackson,et al.  The scanning electron microscope in studies of trabecular bone from a human vertebral body. , 1971, Journal of anatomy.

[26]  T. Brown,et al.  Mechanical property distributions in the cancellous bone of the human proximal femur. , 1980, Acta orthopaedica Scandinavica.

[27]  W. Hayes,et al.  The compressive behavior of bone as a two-phase porous structure. , 1977, The Journal of bone and joint surgery. American volume.

[28]  D B Kimmel,et al.  Effects of prostaglandin E2 on production of new cancellous bone in the axial skeleton of ovariectomized rats. , 1990, Bone.

[29]  M. Drezner,et al.  Bone histomorphometry: Standardization of nomenclature, symbols, and units: Report of the asbmr histomorphometry nomenclature committee , 1987, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[30]  S C Cowin,et al.  The fabric dependence of the orthotropic elastic constants of cancellous bone. , 1990, Journal of biomechanics.

[31]  F. Linde,et al.  The effect of constraint on the mechanical behaviour of trabecular bone specimens. , 1989, Journal of biomechanics.

[32]  R. Schenk,et al.  A quantitative histological study on bone resorption in human cancellous bone. , 1969, Acta anatomica.

[33]  S. Cowin,et al.  On the dependence of the elasticity and strength of cancellous bone on apparent density. , 1988, Journal of biomechanics.

[34]  S. Cowin,et al.  Wolff's law of trabecular architecture at remodeling equilibrium. , 1986, Journal of biomechanical engineering.

[35]  R M Rose,et al.  The distribution and anisotropy of the stiffness of cancellous bone in the human patella. , 1975, Journal of biomechanics.

[36]  S. Goldstein,et al.  The direct examination of three‐dimensional bone architecture in vitro by computed tomography , 1989, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[37]  Z. Jaworski,et al.  Reversibility of nontraumatic disuse osteoporosis during its active phase. , 1986, Bone.