Random field assessment of nanoscopic inhomogeneity of bone

Bone

Volumn 47, Issue 6, 2010, Pages 1080-1084

  Dong, X Neil ^a   Luo, Qing ^b   Sparkman, Daniel M ^a   Millwater, Harry R ^a   Wang, Xiaodu ^a  

^a University of Texas at San Antonio   (United States)

^b PEKING UNIVERSITY   (China)

Author keywords

Correlation Length; Inhomogeneity; Nanoindentation; Random field; Spatial variation

Indexed keywords

ANIMAL TISSUE; ARTICLE; ATOMIC FORCE MICROSCOPY; BONE; CONTROLLED STUDY; CORRELATION COEFFICIENT; FLUORESCENCE ANALYSIS; LAMELLAR BODY; NANOSCOPY; NONHUMAN; QUANTITATIVE ANALYSIS; RANDOM FIELD THEORY; SIMULATION; STATISTICAL ANALYSIS; ULTRASTRUCTURE; VALIDATION STUDY; YOUNG MODULUS;

ANIMALS; BONE AND BONES; CATTLE; ELASTIC MODULUS; MODELS, ANATOMIC; NANOTECHNOLOGY;

EID: 78049449273     PISSN: 87563282     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bone.2010.08.021     Document Type: Article

References (15)

1. Ashman R.B., Cowin S.C., Van Buskirk W.C., Rice J.C. A continuous wave technique for the measurement of the elastic properties of cortical bone. J Biomech 1984, 17:349-361.
2. Linde F., Hvid I., Madsen F. The effect of specimen geometry on the mechanical behaviour of trabecular bone specimens. J Biomech 1992, 25:359-368.
3. Rho J.Y. An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. Ultrasonics 1996, 34:777-783.
4. Hofmann T., Heyroth F., Meinhard H., Franzel W., Raum K. Assessment of composition and anisotropic elastic properties of secondary osteon lamellae. J Biomech 2006, 39:2282-2294.
5. Ruffoni D., Fratzl P., Roschger P., Klaushofer K., Weinkamer R. The bone mineralization density distribution as a fingerprint of the mineralization process. Bone 2007, 40:1308-1319.
6. Busse B., Hahn M., Soltau M., Zustin J., Puschel K., Duda G.N., et al. Increased calcium content and inhomogeneity of mineralization render bone toughness in osteoporosis: mineralization, morphology and biomechanics of human single trabeculae. Bone 2009, 45:1034-1043.
7. Tai K., Dao M., Suresh S., Palazoglu A., Ortiz C. Nanoscale heterogeneity promotes energy dissipation in bone. Nat Mater 2007, 6:454-462.
8. Oliver W.C., Pharr G.M. Measurement of hardness and elastic modulus by instrumented indentation: advances in understanding and refinements to methodology. J Mater Res 2004, 19:3-20.
9. Mcbratney A.B., Webster R. Choosing functions for semi-variograms of soil properties and fitting them to sampling estimates. J Soil Sci 1986, 37:617-639.
10. Atkinson P.M., Lloyd C.D. Non-stationary variogram models for geostatistical sampling optimisation: an empirical investigation using elevation data. Comput Geosci 2007, 33:1285-1300.
11. Vanmarcke M. Random fields: analysis and synthesis 1983, The MIT Press, Cambridge, Massachusetts.
12. Dong X.N., Guda T., Millwater H.R., Wang X. Probabilistic failure analysis of bone using a finite element model of mineral-collagen composites. J Biomech 2009, 42:202-209.
13. van Ruijven L.J., Mulder L., van Eijden T.M. Variations in mineralization affect the stress and strain distributions in cortical and trabecular bone. J Biomech 2007, 40:1211-1218.
14. Wang X., Zauel R.R., Rao D.S., Fyhrie D.P. Cancellous bone lamellae strongly affect microcrack propagation and apparent mechanical properties: separation of patients with osteoporotic fracture from normal controls using a 2D nonlinear finite element method (biomechanical stereology). Bone 2008, 42:1184-1192.
15. Pothuaud L., Carceller P., Hans D. Correlations between grey-level variations in 2D projection images (TBS) and 3D microarchitecture: applications in the study of human trabecular bone microarchitecture. Bone 2008, 42:775-787.