Frequency dependence of average phase shift from human calcaneus in vitro

Journal of the Acoustical Society of America

Volumn 126, Issue 6, 2009, Pages 3291-3300

  Wear, Keith A ^a  

^a CENTER FOR DEVICES AND RADIOLOGICAL HEALTH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION COEFFICIENT; COMPLEX TRANSFER FUNCTIONS; CONSTANT PHASE; CORRELATION COEFFICIENT; DISPERSIVE MODELS; FREQUENCY DEPENDENCE; FUNCTION OF FREQUENCY; IN-VITRO; MEAN VELOCITIES; POLYNOMIAL REPRESENTATIONS; ROOT-MEAN SQUARE ERRORS; STANDARD DEVIATION; STANDARD ERRORS; THROUGH TRANSMISSION; VELOCITY DIFFERENCE;

PHASE SHIFT; STANDARDS;

DISPERSION (WAVES);

POLYCARBONATE;

ARTICLE; CALCANEUS; DISPERSION; FREQUENCY ANALYSIS; HUMAN; IN VITRO STUDY; MAGNITUDE ESTIMATION METHOD; PRIORITY JOURNAL; SOUND TRANSMISSION; THICKNESS; TRABECULAR BONE; ULTRASOUND; VELOCITY;

ALGORITHMS; CALCANEUS; HUMANS; LEAST-SQUARES ANALYSIS; LINEAR MODELS; MODELS, BIOLOGICAL; NYLONS; PHANTOMS, IMAGING; POLYCARBOXYLATE CEMENT;

EID: 72549084327     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3257550     Document Type: Article

References (53)

1. Alves, J. M., Ryaby, J. T., Kaufman, J. J., Magee, F. P., and Siffert, R. S. (1996). " Influence of marrow on ultrasonic velocity and attenuation in bovine trabecular bone.," Calcif. Tissue Int. 0171-967X 58, 362-367. 10.1007/BF02509386
2. Anderson, C. C., Marutyan, K. R., Holland, M. R., Wear, K. A., and Miller, J. G. (2008). " Interference between wave modes may contribute to the apparent negative dispersion observed in cancellous bone.," J. Acoust. Soc. Am. 0001-4966 124, 1781-1789. 10.1121/1.2953309
3. Barkmann, R., Laugier, P., Moser, U., Dencks, S., Klausner, M., Padilla, F., Haat, G., Heller, M., and Glüer, C. (2008). " In vivo measurements of ultrasound transmission through the human proximal femur.," Ultrasound Med. Biol. 0301-5629 34, 1186-1190. 10.1016/j.ultrasmedbio.2007.12.008 (Pubitemid 351902242)
4. Bauer, A. Q., Marutyan, K. R., Holland, M. R., and Miller, J. G. (2008). " Negative dispersion in bone: The tole of interference in measurements of the apparent phase velocity of two temporally overlapping signals.," J. Acoust. Soc. Am. 0001-4966 123, 2407-2414. 10.1121/1.2839893
5. Bossy, E., Padilla, F., Peyrin, F., and Laugier, P. (2005). " Three-dimensional simulation of ultrasound propagation through trabecular bone structures measured by synchrotron micro-tomography.," Phys. Med. Biol. 0031-9155 50, 5545-5556. 10.1088/0031-9155/50/23/009 (Pubitemid 41750440)
6. Cardoso, L., Meunier, A., and Oddou, C. (2008). " In vitro acoustic wave propagation in human and bovine cancellous bone as predicted by Biot's theory.," J. Mech. Med. Biol. 8, 183-201. 10.1142/S0219519408002565 0219-5194
7. Cardoso, L., Teboul, F., Sedel, L., Oddou, C., and Meunier, A. (2003). " In vitro acoustic waves propagation in human and bovine cancellous bone.," J. Bone Miner. Res. 0884-0431 18, 1803-1812. 10.1359/jbmr.2003.18. 10.1803 (Pubitemid 37322558)
8. Chaffa, S., Padilla, F., Berger, G., and Laugier, P. (2000). " In vitro measurement of the frequency-dependent attenuation in cancellous bone between 0.2 and 2 MHz.," J. Acoust. Soc. Am. 0001-4966 108, 1281-1289. 10.1121/1.1288934 (Pubitemid 30694890)
9. Droin, P., Berger, G., and Laugier, P. (1998). " Velocity dispersion of acoustic waves in cancellous bone.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 45, 581-592. 10.1109/58.677603
10. Duck, F. A. (1990). Physical Properties of Tissue (Cambridge University Press, Cambridge, UK).
11. Fellah, Z. E. A., Chapelon, J. Y., Berger, S., Lauriks, W., and Depollier, C. (2004). " Ultrasonic wave propagation in human cancellous bone: Application of Biot theory.," J. Acoust. Soc. Am. 0001-4966 116, 61-73. 10.1121/1.1755239 (Pubitemid 38915985)
12. Fellah, Z. E. A., Sebaa, N., Fellah, M., Mitri, F. G., Ogam, E., Lauriks, W., and Depollier, C. (2008). " Application of the Biot model to ultrasound in bone: Direct problem.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 55, 1508-1515. 10.1109/TUFFC.2008.826
13. Haat, G., Lh́mery, A., Renaud, F., Padilla, F., Laugier, P., and Naili, S. (2008a). " Velocity dispersion in trabecular bone: Influence of multiple scattering and of absorption.," J. Acoust. Soc. Am. 0001-4966 124, 4047-4058. 10.1121/1.3003077
14. Haat, G., Padilla, F., Cleveland, R. O., and Laugier, P. (2006). " Effects of frequency-dependent attenuation and velocity dispersion on in vitro ultrasound velocity measurements in intact human femur specimens.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 53, 39-51. 10.1109/TUFFC.2006.1588390 (Pubitemid 43265786)
15. Haat, G., Padilla, F., Peyrin, F., and Laugier, P. (2008b). " Fast wave ultrasonic propagation in trabecular bone: Numerical study of the influence of porosity and structural anisotropy.," J. Acoust. Soc. Am. 0001-4966 123, 1694-1705. 10.1121/1.2832611
16. Hoffmeister, B. K., Auwarter, J. A., and Rho, J. Y. (2002). " Effect of marrow on the high frequency ultrasonic properties of cancellous bone.," Phys. Med. Biol. 0031-9155 47, 3419-3427. 10.1088/0031-9155/47/18/ 310 (Pubitemid 35174230)
17. Hosokawa, A., and Otani, T. (1997). " Ultrasonic wave propagation in bovine cancellous bone.," J. Acoust. Soc. Am. 0001-4966 101, 558-562. 10.1121/1.418118 (Pubitemid 27026667)
18. Hosokawa, A., and Otani, T. (1998). " Acoustic anisotropy in bovine cancellous bone.," J. Acoust. Soc. Am. 0001-4966 103, 2718-2722. 10.1121/1.422790 (Pubitemid 28261604)
19. Hughes, E. R., Leighton, T. G., Petley, G. W., and White, P. R., (1999). " Ultrasonic propagation in cancellous bone: A new stratified model.," Ultrasound Med. Biol. 25, 811-821. 10.1016/S0301-5629(99)00034-4 (Pubitemid 29270396)
20. Jocker, J., and Smeulders, D. (2009). " Ultrasonic measurements on poroelastic slabs: Determination of reflection and transmission coefficients and processing for Biot input parameters.," Ultrasonics 0041-624X 49, 319-330. 10.1016/j.ultras.2008.10.006
21. Kaczmarek, M., Kubik, J., and Pakula, M. (2002). " Short ultrasonic waves in cancellous bone.," Ultrasonics 0041-624X 40, 95-100. 10.1016/S0041-624X(02)00097-5 (Pubitemid 34545290)
22. Kaufman, J. J., Luo, G., and Siffert, R. S. (2007). " A portable real-time ultrasonic bone densitometer.," Ultrasound Med. Biol. 0301-5629 33, 1445-1452. 10.1016/j.ultrasmedbio.2007.04.007 (Pubitemid 47302207)
23. Kaufman, J. J., Xu, W., Chiabrera, A. E., and Siffert, R. S. (1995). " Diffraction effects in insertion mode estimation of ultrasonic group velocity.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 42, 232-242. 10.1109/58.365237
24. Kaye, G. W. C., and Laby, T. H. (1973). Table of Physical and Chemical Constants (Longman, London, UK).
25. Krieg, M. A., Barkmann, R., Gonnelli, S., Stewart, A., Bauer, D. C., Del Rio Barquero, L., Kaufman, J. J., Lorenc, R., Miller, P. D., Olszynski, W. P., Poiana, C., Schott, A., Lewiecki, E. M., and Hans, D. (2008). " Quantitative ultrasound in the management of osteoporosis: The 2007 ISCD official positions.," J. Clin. Densitom. 11, 163-187. 10.1016/j.jocd.2007. 12.011 1094-6950 (Pubitemid 351602192)
26. Langton, C. M., Njeh, C. F., Hodgskinson, R., and Carrey, J. D. (1996). " Prediction of mechanical properties of the human calcaneus by broadband ultrasonic attenuation.," Bone 18, 495-503. 10.1016/8756-3282(96)00086-5 8756-3282 (Pubitemid 26257868)
27. Langton, C. M., Palmer, S. B., and Porter, R. W. (1984). " The measurement of broadband ultrasonic attenuation in cancellous bone.," Eng. Med. 0046-2039 13, 89-91. 10.1243/EMED-JOUR-1984-013-022-02
28. Laugier, P. (2008). " Instrumentation for in vivo ultrasonic characterization of bone strength.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 55, 1179-1196. 10.1109/TUFFC.2008.782
29. Le Floch, V., McMahon, D. J., Luo, G., Coeh, A., Kaufman, J. J., Shane, E., and Siffert, R. S. (2008). " Ultrasound simulation in the distal radius using clinical high-resolution peripheral CT images.," Ultrasound Med. Biol. 0301-5629 34, 1317-1326. 10.1016/j.ultrasmedbio.2008.01.006 (Pubitemid 352024398)
30. Lin, W., Qin, Y., and Rubin, C. (2001). " Ultrasonic wave propagation in trabecular bone predicted by the stratified model.," Ann. Biomed. Eng. 29, 781-790 10.1114/1.1397787 (Pubitemid 33013701)
31. Marutyan, K. R., Holland, M. R., and Miller, J. G. (2006). " Anomalous negative dispersion in bone can result from the interference of fast and slow waves.," J. Acoust. Soc. Am. 0001-4966 120, EL55-EL61. 10.1121/1.2357187 (Pubitemid 44631680)
32. Mizuno, K., Matsukawa, M., Otani, T., Laugier, P., and Padilla, F. (2009). " Propagation of two longitudinal waves in human cancellous bone: An in vitro study.," J. Acoust. Soc. Am. 0001-4966 125, 3460-3466. 10.1121/1.3111107
33. Nicholson, P. H. F., and Bouxsein, M. L. (2002). " Bone marrow influences quantitative ultrasound measurements in human cancellous bone.," Ultrasound Med. Biol. 0301-5629 28, 369-375. 10.1016/S0301-5629(01)00508-7 (Pubitemid 34308917)
34. Nicholson, P. H. F., Lowet, G., Langton, C. M., Dequeker, J., and Van der Perre, G. (1996). " Comparison of time-domain and frequency-domain approaches to ultrasonic velocity measurements in trabecular bone.," Phys. Med. Biol. 0031-9155 41, 2421-2435. 10.1088/0031-9155/41/11/013 (Pubitemid 26376913)
35. Nicholson, P. H. F., Müller, R., Lowet, G., Cheng, X. G., Hildebrand, T., Rüegsegger, P., Van der Perre, G., Dequeker, J., and Boonen, S. (1998). " Do quantitative ultrasound measurements reflect structure independently of density in human vertebral cancellous bone.," Bone 23, 425-431. 10.1016/S8756-3282(98)00128-8 8756-3282 (Pubitemid 28470611)
36. O'Donnell, M., Jaynes, E. T., and Miller, J. G. (1981). " Kramers-Kronig relationship between ultrasonic attenuation and phase velocity.," J. Acoust. Soc. Am. 0001-4966 69, 696-701. 10.1121/1.385566
37. Pakula, M., Padilla, F., Laugier, P., and Kaczmarek, M. (2008). " Application of Biot's theory to ultrasonic characterization of human cancellous bone: Determination of structural, material, and mechanical properties.," J. Acoust. Soc. Am. 0001-4966 123, 2415-2423. 10.1121/1.2839016
38. Parfitt, A. M., Drezner, M. K., Glorieux, F. H., Kanis, J. A., Malluche, H., Meunier, P. J., Ott, S. M., and Recker, R. R. (1987). " Bone histomorphometry: Standardization of nomenclature, symbols, and units.," J. Bone Miner. Res. 0884-0431 2, 595-609.
39. Riekkinen, O., Hakulinen, M. A., Timonen, M., Töyräs, J., and Jurvelin, J. S. (2006). " Influence of overlying soft tissues on trabecular bone acoustic measurement at various ultrasound frequencies.," Ultrasound Med. Biol. 0301-5629 32, 1073-1083. 10.1016/j.ultrasmedbio.2006.03.012 (Pubitemid 43994299)
40. Riekkinen, O., Hakulinen, M. A., Töyräs, J., and Jurvelin, J. S. (2008). " Dual-frequency ultrasound-New pulse-echo technique for bone densitometry.," Ultrasound Med. Biol. 0301-5629 34, 1703-1708. 10.1016/j.ultrasmedbio.2008.03.018
41. Sarvazyan, A., Tatarinov, A., Egorov, V., Airapetian, S., Kurtenok, V., and Gatt, C. J. (2009). " Application of the dual-frequency ultrasonometer for osteoporosis detection.," Ultrasonics 0041-624X 49, 331-337. 10.1016/j.ultras.2008.10.003
42. Sebaa, N., Fellah, Z. E. A., Fellah, M., Ogam, E., Mitri, F. G., Depollier, C., and Lauriks, W. (2008). " Application of the Biot model to ultrasound in bone: Inverse problem.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 55, 1516-1523. 10.1109/TUFFC.2008.827
43. Strelitzki, R., and Evans, J. A. (1996a). " On the measurement of the velocity of ultrasound in the os calcis using short pulses.," Eur. J. Ultrasound 0929-8266 4, 205-213. 10.1016/S0929-8266(96)00193-0 (Pubitemid 27090668)
44. Strelitzki, R., and Evans, J. A. (1996b). " An investigation of the measurement of broadband ultrasonic attenuation in trabecular bone.," Ultrasonics 0041-624X 34, 785-791. 10.1016/S0041-624X(96)00079-0 (Pubitemid 126371649)
45. Ulrich, D., van Rietbergen, B., Laib, A., and Ruegsegger, P. (1999). " The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone.," Bone 25, 55-60. 10.1016/S8756-3282(99)00098- 8 8756-3282 (Pubitemid 29322061)
46. Waters, K. R., and Hoffmeister, B. K. (2005). " Kramers-Kronig analysis of attenuation and dispersion in trabecular bone.," J. Acoust. Soc. Am. 0001-4966 118, 3912-3920. 10.1121/1.2126934 (Pubitemid 41820889)
47. Wear, K. A. (1999). " Frequency dependence of ultrasonic backscatter from human trabecular bone: Theory and experiment.," J. Acoust. Soc. Am. 0001-4966 106, 3659-3664. 10.1121/1.428218
48. Wear, K. A. (2000a). " Measurements of phase velocity and group velocity in human calcaneus.," Ultrasound Med. Biol. 0301-5629 26, 641-646. 10.1016/S0301-5629(99)00172-6 (Pubitemid 30336666)
49. Wear, K. A. (2000b). " The effects of frequency-dependent attenuation and dispersion on sound speed measurements: Applications in human trabecular bone.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 0885-3010 47, 265-273. 10.1109/58.818770 (Pubitemid 30553561)
50. Wear, K. A. (2001). " A stratified model to predict dispersion in trabecular bone.," IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 48, 1079-1083. 10.1109/58.935726
51. Wear, K. A. (2004). " Measurement of frequency dependence of scattering from cylinders using focused transducers-With applications in trabecular bone.," J. Acoust. Soc. Am. 0001-4966 115, 66-72. 10.1121/1.1631943 (Pubitemid 38112407)
52. Wear, K. A. (2005). " The dependencies of phase velocity and dispersion on trabecular thickness and spacing in trabecular bone-mimicking phantoms.," J. Acoust. Soc. Am. 0001-4966 118, 1186-1192. 10.1121/1.1940448 (Pubitemid 41129251)
53. Xia, Y., Lin, W., and Qin, Y. (2005). " The influence of cortical end-plate on broadband ultrasound attenuation measurements at the human calcaneus using scanning confocal ultrasound.," J. Acoust. Soc. Am. 0001-4966 118, 1801-1807. 10.1121/1.1979428 (Pubitemid 41318606)