Influence of a gradient of material properties on ultrasonic wave propagation in cortical bone: Application to axial transmission

Journal of the Acoustical Society of America

Volumn 125, Issue 6, 2009, Pages 4043-4052

  Haat, Guillaume ^a   Naili, Salah ^b   Grimal, Quentin ^c   Talmant, Maryline ^c   Desceliers, Christophe ^d   Soize, Christian ^d  

^a CNRS   (France)

^b UNIVERSITÉ PARIS EST CRÉTEIL   (France)

^c SORBONNE UNIVERSITÉ   (France)

^d Centre National de la Recherche Scientifique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC PROPAGATION; AXIAL TRANSMISSION; CORTICAL BONE; ELASTODYNAMIC RESPONSE; FINITE ELEMENT; FLUID LAYER; FLUID MEDIA; HOMOGENEOUS MATERIALS; LAMB WAVE; LATERAL WAVES; MASS DENSITIES; MATERIAL PROPERTY; SOLID LAYERS; SPATIAL GRADIENTS; STIFFNESS COEFFICIENTS; THREE-LAYER; TIME-DOMAIN METHODS; TRANSIENT WAVE PROPAGATION; TRANSVERSE ISOTROPIC; ULTRASONIC PULSE; ULTRASONIC RESPONSE;

MATERIALS; METHOD OF MOMENTS; TIME DOMAIN ANALYSIS; ULTRASONIC WAVES; ULTRASONICS; WAVE PROPAGATION;

BONE;

ACOUSTICS; ANISOTROPY; ARTICLE; BIOLOGICAL MODEL; BONE MASS; BONE STRUCTURE; BONE TISSUE; CORTICAL BONE; DEVICE; FINITE ELEMENT ANALYSIS; OSTEOPOROSIS; PRIORITY JOURNAL; RIGIDITY; SURFACE PROPERTY; TECHNIQUE; TERAHERTZ SPECTROSCOPY; THICKNESS; ULTRASOUND;

ALGORITHMS; BONE AND BONES; BONE DENSITY; ELASTICITY; HUMANS; MODELS, THEORETICAL; POROSITY; ULTRASONICS;

EID: 67649090655     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3117445     Document Type: Article

References (38)

1. Ammann, P., and Rizzoli, R. (2003). " Bone strength and its determinants.," Osteoporosis Int. 14, S13-S18. 10.1007/s00198-002-1311-1
2. Barkmann, R., Kantorovich, E., Singal, C., Hans, D., Genant, H. K., Heller, M., and Gluer, C. C. (2000). " A new method for quantitative ultrasound measurements at multiple skeletal sites.," J. Clin. Densitometry 3, 1-7. 10.1385/JCD:3:1:001
3. Baron, C., Talmant, M., and Laugier, P. (2007). " Effect of porosity on effective diagonal stiffness coefficients (cii) and anisotropy of cortical at 1 MHz: A finite-difference time domain study.," J. Acoust. Soc. Am. 122, 1810-1817. 10.1121/1.2759165
4. Bossy, E., Talmant, M., and Laugier, P. (2002). " Effect of bone cortical thickness on velocity measurements using ultrasonic axial transmission: A 2D simulation study.," J. Acoust. Soc. Am. 112, 297-307. 10.1121/1.1480836
5. Bossy, E., Talmant, M., and Laugier, P. (2004a). " Bi-directional axial transmission can improve accuracy and precision of ultrasonic velocity measurement in cortical bone: A validation on test material.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 51, 71-79. 10.1109/TUFFC.2004.1268469
6. Bossy, E., Talmant, M., and Laugier, P. (2004b). " Three-dimensional simulations of ultrasonic axial transmission velocity measurement on cortical bone models.," J. Acoust. Soc. Am. 115, 2314-2324. 10.1121/1.1689960
7. Bossy, E., Talmant, M., Peyrin, F., Akrout, L., Cloetens, P., and Laugier, P. (2004c). " An in vitro study of the ultrasonic axial transmission technique at the radius: 1-MHz velocity measurements are sensitive to both mineralization and intracortical porosity.," J. Bone Miner. Res. 19, 1548-1556. 10.1359/JBMR.040513
8. Bousson, V., Meunier, A., Bergot, C., Vicaut, E., Rocha, M. A., Morais, M. H., Laval Jeantet, A. M., and Laredo, J. D. (2001). " Distribution of intracortical porosity in human midfemoral cortex by age and gender.," J. Bone Miner. Res. 16, 1308-1317. 10.1359/jbmr.2001.16.7.1308 (Pubitemid 32574660)
9. COMSOL MULTIPHYSICS (2005). " Model library.," Grenoble, France.
10. Desceliers, C., Soize, C., Grimal, Q., Haat, G., and Naili, S. (2008). " Three dimensional transient elastic waves in multilayer semi-infinite media solved by a time-space-spectral numerical method.," Wave Motion 45, 383-399. 10.1016/j.wavemoti.2007.09.001
11. Dong, X. N., and Guo, X. E. (2004). " The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity.," J. Biomech. 37, 1281-1287. 10.1016/j.jbiomech.2003.12.011
12. Fritsch, A., and Hellmich, C. (2007). " 'Universal' microstructural patterns in cortical and trabecular, extracellular and extravascular bone materials: Micromechanics-based prediction of anisotropic elasticity.," J. Theor. Biol. 244, 597-620. 10.1016/j.jtbi.2006.09.013
13. Grimal, Q., and Naili, S. (2006). " A theoretical analysis in the time-domain of wave reflection on a bone plate.," J. Sound Vib. 298, 12-29. 10.1016/j.jsv.2006.04.037
14. Grynpas, M. (1993). " Age and disease-related changes in the mineral of bone.," Calcif. Tissue Int. 53, S57-S64. 10.1007/BF01673403
15. Haat, G., Padilla, F., Peyrin, F., and Laugier, P. (2007). " Variation of ultrasonic parameters with microstructure and material properties of trabecular bone: A three-dimensional model simulation.," J. Bone Miner. Res. 22, 665-674. 10.1359/jbmr.070209
16. Hans, D., Srivastav, S. K., Singal, C., Barkmann, R., Njeh, C. F., Kantorovich, E., Gluer, C. C., and Genant, H. K. (1999). " Does combining the results from multiple bone sites measured by a new quantitative ultrasound device improve discrimination of hip fracture?," J. Bone Miner. Res. 14, 644-651. 10.1359/jbmr.1999.14.4.644 (Pubitemid 29153399)
17. Hoc, T., Henry, L., Verdier, M., Aubry, D., Sedel, L., and Meunier, A. (2006). " Effect of microstructure on the mechanical properties of Haversian cortical bone.," Bone (N.Y.) 38, 466-474.
18. Lakes, R. S., Yoon, H. S., and Katz, J. L. (1986). " Ultrasonic wave propagation and attenuation in wet bone.," J. Biomed. Eng. 8, 143-148. 10.1016/0141-5425(86)90049-X (Pubitemid 16142937)
19. Macocco, K., Grimal, Q., Naili, S., and Soize, C. (2005). " Probabilistic modelling of an ultrasonic setup: Calculation of the dispersion on wave speed measurements.," C. R. Mec. 333, 565-573. (Pubitemid 41228560)
20. Macocco, K., Grimal, Q., Naili, S., and Soize, C. (2006). " Elastoacoustic model with uncertain mechanical properties for ultrasonic wave velocity prediction: Application to cortical bone evaluation.," J. Acoust. Soc. Am. 119, 729-740. 10.1121/1.2146110
21. Mayhew, P. M., Thomas, C. D., Clement, J. G., Loveridge, N., Beck, T. J., Bonfield, W., Burgoyne, C. J., and Reeve, J. (2005). " Relation between age, femoral neck cortical stability, and hip fracture risk.," Lancet 366, 129-135. 10.1016/S0140-6736(05)66870-5
22. Moser, F., Jacobs, L., and Qu, J. (1999). " Modeling elastic wave propagation in waveguides with the finite element method.," NDT & E Int. 32, 225-234. 10.1016/S0963-8695(98)00045-0 (Pubitemid 129305662)
23. Nayfeh, A. H., and Chimenti, D. E. (1988). " Ultrasonic wave reflection from liquid-coupled orthotropic plates with application to fibrous composites.," J. Appl. Mech. 55, 863-870.
24. Nayfeh, A. H., and Chimenti, D. E. (1989). " Free wave propagation in plates of general anisotropic media.," J. Appl. Mech. 56, 881-886. (Pubitemid 20634076)
25. Protopappas, V. C., Kourtis, I. C., Kourtis, L. C., Malizos, K. N., Massalas, C. V., and Fotiadis, D. I. (2007). " Three-dimensional finite element modeling of guided ultrasound wave propagation in intact and healing long bones.," J. Acoust. Soc. Am. 121, 3907-3921. 10.1121/1.2354067
26. Raum, K., Cleveland, R. O., Peyrin, F., and Laugier, P. (2006). " Derivation of elastic stiffness from site-matched mineral density and acoustic impedance maps.," Phys. Med. Biol. 51, 747-758. 10.1088/0031-9155/51/3/018
27. Raum, K., Leguerney, I., Chandelier, F., Bossy, E., Talmant, M., Saied, A., Peyrin, F., and Laugier, P. (2005). " Bone microstructure and elastic tissue properties are reflected in QUS axial transmission measurements.," Ultrasound Med. Biol. 31, 1225-1235. 10.1016/j.ultrasmedbio.2005.05.002
28. Reilly, D. T., and Burnstein, A. H. (1974). " The mechanical properties of cortical bone.," J. Bone Jt. Surg., Am. Vol. 56, 1001-1022.
29. Rho, J. Y. (1996). " An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone.," Ultrasonics 34, 777-783. 10.1016/S0041-624X(96)00078-9
30. Rico, H. (1997). " The therapy of osteoporosis and the importance of cortical bone.," Calcif. Tissue Int. 61, 431-432. 10.1007/s002239900361
31. Royer, D., and Dieulesaint, E. (2000). Elastic Waves in Solids. I: Free and Guided Propagation (Springer-Verlag, Berlin).
32. Sasso, M., Haat, G., Yamato, Y., Naili, S., and Matsukawa, M. (2007). " Frequency dependence of ultrasonic attenuation in bovine cortical bone: An in vitro study.," Ultrasound Med. Biol. 33, 1933-1942. 10.1016/j.ultrasmedbio.2007.05.022
33. Sasso, M., Haat, G., Yamato, Y., Naili, S., and Matsukawa, M. (2008). " Dependence of ultrasonic attenuation on bone mass and microstructure in bovine cortical bone.," J. Biomech. 41, 347-355. 10.1016/j.jbiomech.2007. 09.001
34. Seeley, D. G., Browner, W. S., Nevitt, M. C., Genant, H. K., Scott, J. C., and Cummings, S. R. (1991). " Which fractures are associated with low appendicular bone mass in elderly women? The study of osteoporotic fractures research group.," Ann. Intern Med. 115, 837-842.
35. Stegman, M. R., Heaney, R. P., Travers-Gustafson, D., and Leist, J. (1995). " Cortical ultrasound velocity as an indicator of bone status.," Osteoporosis Int. 5, 349-533. 10.1007/BF01622257
36. Thomas, C. D., Feik, S. A., and Clement, J. G. (2005). " Regional variation of intracortical porosity in the midshaft of the human femur: Age and sex differences.," J. Anat. 206, 115-125. 10.1111/j.1469-7580.2005.00384.x
37. Turner, C. H. (2002). " Biomechanics of bone: Determinants of skeletal fragility and bone quality.," Osteoporosis Int. 13, 97-104. 10.1007/s001980200000
38. WHO Study Group (1994). " Assessment of fracture risk and its application to screening for postmenopausal osteoporosis.," WHO Technical Report No. 843, World Health Organization, Geneva, Switzerland, http://www.who.int/reproductive-health/publications/ageing.html (Last viewed April, 2008).