Quantification of cancellous bone architecture

Bone Mechanics Handbook, Second Edition

Volumn , Issue , 2001, Pages 14-1-14-20

  Odgaard, Anders ^a  

^a ST MARY S HOSPITAL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85057246933     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (49)

1. Wolff, J., Ueber die innere Architectur der Knochen und ihre Bedeutung für dir Frage vom Knochenwachstum, Virchows Arch. Pathol. Anat. Physiol. Klin. Med., 50, 389, 1870.
2. Parfitt, A.M., Trabecular bone architecture in the pathogenesis and prevention of fracture, Am. J. Med., 82, 68, 1987.
3. Gundersen, H.J., The nucleator, J. Microsc., 151, 3, 1988.
4. Underwood, E.E., Quantitative Stereology, Addison-Wesley, Reading, MA, 1970.
5. Weibel, E.R., Stereological Methods, Vol. 2: Theoretical Foundations, Academic Press, New York, 1980.
6. Baddeley, A.J., Gundersen, H.J., and Cruz-Orive, L.M., Estimation of surface area from vertical sections, J. Microsc., 142, 259, 1986.
7. Vesterby, A., Kragstrup, J., Gundersen, H.J., and Melsen, F., Unbiased stereologic estimation of surface density in bone using vertical sections, Bone, 8, 13, 1987.
8. Gundersen, H.J. and Jensen, E.B., Stereological estimation of the volume-weighted mean volume of arbitrary particles observed on random sections, J. Microsc., 138, 127, 1985.
9. Vesterby, A., Gundersen, H.J., and Melsen, F., Star volume of marrow space and trabeculae of the first lumbar vertebra: sampling efficiency and biological variation, Bone, 10, 7, 1989.
10. Boyce, R.W., Ebert, D.C., Youngs, T.A., Paddock, C.L., Mosekilde, L., Stevens, M.L., and Gundersen, H.J., Unbiased estimation of vertebral trabecular connectivity in calcium-restricted ovariectomized minipigs, Bone, 16, 637, 1995.
11. Odgaard, A. and Gundersen, H.J., Quantification of connectivity in cancellous bone, with special emphasis on 3-D reconstructions, Bone, 14, 173, 1993.
12. Gundersen, H.J., Boyce, R.W., Nyengaard, J.R., and Odgaard, A., The Conneulor: unbiased estimation of connectivity using physical disectors under projection, Bone, 14, 217, 1993.
13. Sterio, D.C., The unbiased estimation of number and sizes of arbitrary particles using the disector, J. Microsc., 134, 127, 1984.
14. Amstutz, H.C. and Sissons, H.A., The structure of the vertebral spongiosa, J. Bone Joint Surg., 51-B, 540, 1969.
15. Odgaard, A., Andersen, K., Ullerup, R., Frich, L.H., and Melsen, F., Three-dimensional reconstruction of entire vertebral bodies, Bone, 15, 335, 1994.
16. Feldkamp, L.A., Goldstein, S.A., Parfitt, A.M., Jesion, G., and Kleerekoper, M., The direct examination of three-dimensional bone architecture in vitro by computed tomography, J. Bone Miner. Res., 4, 3, 1989.
17. Ruegsegger, P., Koller, B., and Müller, R., A microtomographic system for the nondestructive evaluation of bone architecture, Calcif. Tissue Int., 58, 24, 1996.
18. (4) energy resolution, Bone Miner., 25, 25, 1994.
19. Kinney, J.H. and Nichols, M.C., X-ray tomographic microscopy (XTM) using synchrotron radiation, Annu. Rev. Mater. Sci., 22, 121, 1992.
20. Chung, H.W., Wehrli, F.W., Williams, J.L., and Wehrli, S.L., Three-dimensional nuclear magnetic resonance microimaging of trabecular bone, J. Bone Miner. Res., 10, 1452, 1995.
21. Majumdar, S., Newitt, D., Mathur, A., Osman, D., Gies, A., Chiu, E., Lotz, J., Kinney, J., and Genant, H., Magnetic resonance imaging of trabecular bone structure in the distal radius: relationship with X-ray tomographic microscopy and biomechanics, Osteoporosis Int., 6, 376, 1996.
22. Cowin, S.C., The relationship between the elasticity tensor and the fabric tensor, Mech. Mater., 4, 137, 1985.
23. Cowin, S.C., Wolff’s law of trabecular architecture at remodeling equilibrium, J. Biomech. Eng., 108, 83, 1986.
24. Whitehouse, W.J., The quantitative morphology of anisotropic trabecular bone, J. Microsc., 101, 153, 1974.
25. Odgaard, A., Three-dimensional methods for quantification of cancellous bone architecture, Bone, 20, 315, 1997.
26. Whitehouse, W.J., Irregularities and asymmetries in trabecular bone in the innominate and elsewhere, in Bone Histomorphometry, Third International Workshop, Jee, W.S.S. and Parfitt, A.M., Eds., Societe Nouvelle de Publications Medicales et Dentaires, Paris, 1981, 271.
27. Harrigan, T.P. and Mann, R.W., Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor, J. Mater. Sci., 19, 761, 1984.
28. Odgaard, A., Jensen, E.B., and Gundersen, H.J., Estimation of structural anisotropy based on volume orientation. A new concept, J. Microsc., 157, 149, 1990.
29. Odgaard, A., Kabel, J., van Rietbergen, B., Dalstra, M., and Huiskes, R., Fabric and elastic principal directions of cancellous bone are closely related, J. Biomech., 30, 487, 1997.
30. Cruz-Orive, L.M., Karlsson, L.M., Larsen, S.E., and Wainschtein, F., Characterizing anisotropy: a new concept, Micron Microsc. Acta, 23, 75, 1992.
31. Santaló, L.A., Integral Geometry and Geometric Probability, Addison-Wesley, Reading, MA, 1976.
32. Hildebrand, T. and Rüegsegger, P., A new method for the model-independent assessment of thickness in three-dimensional images, J. Microsc., 185, 67, 1997.
33. Hildebrand, T. and Rüegsegger, P., Quantification of bone architecture with the structure model index, Comp. Methods Biomech. Biomed. Eng., 1, 15, 1997.
34. Chung, H.W., Chu, C.C., Underweiser, M., and Wehrli, F.W., On the fractal nature of trabecular structure, Med. Phys., 21, 1535, 1994.
35. Cross, S.S., Rogers, S., Silcocks, P.B., and Cotton, D.W., Trabecular bone does not have a fractal structure on light microscopic examination, J. Pathol., 170, 311, 1993.
36. Weinstein, R.S. and Majumdar, S., Fractal geometry and vertebral compression fractures, J. Bone Miner. Res., 9, 1797, 1994.
37. Parfitt, A.M., Drezner, M.K., Glorieux, F.H., Kanis, J.A., Malluche, H., Meunier, PJ., Ott, S.M., and Recker, R.R., Bone histomorphometry: standardization of nomenclature, symbols, and units. Report of the ASBMR Histomorphometry Nomenclature Committee, J. Bone Miner. Res., 2, 595, 1987.
38. Eriksen, E.F., Bone Histomorphometry, Lippincott/William & Wilkins, Baltimore, MD, 1993.
39. Parfitt, A.M., Bone histomorphometry: proposed system for standardization of nomenclature, symbols, and units, Calcif. Tissue Int., 42, 284, 1988.
40. Kinney, J.H., Nichols, M.C., Lane, N.E., Majumdar, S., Marshall, G.W., and Marshall, S.J., In vivo, three-dimensional histomorphometry: new perspectives of sequential changes in bone structure, in Trans. ORS, 19, 1994, 56.
41. Kinney, J.H., Lane, N.E., and Haupt, D.L., In vivo, three-dimensional microscopy of trabecular bone, J. Bone Miner. Res., 10, 264, 1995.
42. Bergot, C., Laval-Jeantet, A.M., Preteux, F., and Meunier, A., Measurement of anisotropic vertebral trabecular bone loss during aging by quantitative image analysis, Calcif. Tissue Int., 43, 143, 1988.
43. Mosekilde, L., Age-related changes in vertebral trabecular bone architecture—assessed by a new method, Bone, 9, 247, 1988.
44. Amling, M., Herden, S., Posl, M., Hahn, M., Ritzel, H., and Delling, G., Heterogeneity of the skeleton: comparison of the trabecular microarchitecture of the spine, the iliac crest, the femur, and the calcaneus, J. Bone Miner. Res., 11, 36, 1996.
45. Hahn, M., Vogel, M., Pompesius-Kempa, M., and Delling, G., Trabecular bone pattern factor—a new parameter for simple quantification of bone microarchitecture, Bone, 13, 327, 1992.
46. Garrahan, N.J., Mellish, R.W., and Compston, J.E., A new method for the two-dimensional analysis of bone structure in human iliac crest biopsies, J. Microsc., 142, 341, 1986.
47. Parisien, M., Mellish, R.W., Silverberg, S.J., Shane, E., Lindsay, R., Bilezikian, J.P., and Dempster, D.W., Maintenance of cancellous bone connectivity in primary hyperparathyroidism: trabecular strut analysis, J. Bone Miner. Res., 7, 913, 1992.
48. Boyce, R.W., Wronski, T.J., Ebert, D.C., Stevens, M.L., Paddock, C.L., Youngs, T.A., and Gundersen, H.J., Direct stereological estimation of three-dimensional connectivity in rat vertebrae: effect of estrogen, etidronate and risedronate following ovariectomy, Bone, 16, 209, 1995.
49. Thomsen, J.S., Ebbesen, E.N., and Mosekilde, L., Relationships between static histomorphometry and bone strength measurements in human iliac crest bone biopsies, Bone, 22, 153, 1998.