Measurements of ultrasonic phase velocities and attenuation of slow waves in cellular aluminum foams as cancellous bone-mimicking phantoms

Journal of the Acoustical Society of America

Volumn 129, Issue 5, 2011, Pages 3317-3326

  Zhang, Chan ^a   Le, Lawrence H ^a   Zheng, Rui ^a   Ta, Dean ^b   Lou, Edmond ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

^b FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM FOAM; ATTENUATION LEVELS; CANCELLOUS BONE; FAST WAVES; FREQUENCY RANGES; OPEN NETWORK; PORES PER INCHES; POROUS MEDIUM; SLOW WAVE; SOUND SPEED;

ALUMINUM; BONE; PHASE VELOCITY; POROUS MATERIALS; ULTRASONIC TESTING; ULTRASONICS;

DISPERSION (WAVES);

ALUMINUM; VISCOELASTIC SUBSTANCE; WATER;

ARTICLE; BONE; BONE DENSITY; HUMAN; IMAGE QUALITY; MATHEMATICS; POROSITY; ULTRASOUND;

ALUMINUM; BONE AND BONES; BONE DENSITY; HUMANS; MATHEMATICS; PHANTOMS, IMAGING; POROSITY; ULTRASONICS; VISCOELASTIC SUBSTANCES; WATER;

EID: 79959590858     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3562560     Document Type: Article

References (64)

1. 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. 124, 1781-1789. 10.1121/1.2953309
2. Bauer, A. Q., Marutyan, K. R., Holland, M. R., and Miller, J. G. (2008). Negative dispersion in bone: the role of interference in measurements of the apparent phase velocity of two temporally overlapping signals., J. Acoust. Soc. Am. 123, 2407-2414. 10.1121/1.2839893 (Pubitemid 351503012)
3. Biot, M. A. (1956a). Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range., J. Acoust. Soc. Am. 28, 168-178. 10.1121/1.1908239
4. Biot, M. A. (1956b). Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range., J. Acoust. Soc. Am. 28, 179-191. 10.1121/1.1908241
5. Bossy, E., Laugier, P., Peyrin, F., and Padilla, F. (2007). Attenuation in trabecular bone: A comparison between numerical simulation and experimental results in human femur., J. Acoust. Soc. Am. 122, 2469-2475. 10.1121/1.2766779 (Pubitemid 47493373)
6. 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. 18, 1803-1812. 10.1359/jbmr.2003.18.10.1803 (Pubitemid 37322558)
7. Chaffai, 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. 108, 1281-1289. 10.1121/1.1288934
8. Clarke, A. J., Evans, J. A., Truscott, J. G., Milner, R., and Smith, M. A. (1994). A phantom for quantitative ultrasound of trabecular bone., Phys. Med. Biol. 39, 1677-1687. 10.1088/0031-9155/39/10/011 (Pubitemid 24306722)
9. Cobbold, R. S. C. (2008). Foundations of Biomedical Ultrasound (Oxford University Press, New York), Chap., pp. 96-134.
10. Droin, P., Berger, G., and Laugier, P. (1998). Velocity dispersion of acoustic waves in cancellous bone., IEEE Trans. Ultrason. Ferroelectr. Freq. Control 45 (3), 581-592. 10.1109/58.677603 (Pubitemid 128748718)
11. ERG Materials and Aerospace Corporation, Oakland, CA. Available at http://www.ergaerospace.com/foamproperties/introduction.htm (Last viewed August 14, 2010).
12. Gibson, J. L. (1985). The mechanical behavior of cancellous bone., J. Biomech. 18, 317-328. 10.1016/0021-9290(85)90287-8 (Pubitemid 15055231)
13. Gibson, J. L., and Ashby, F. M. (1999). Cellular Solids (Cambridge University Press, London, UK), pp. 429-452.
14. Giraudeau, B., Gomez, M. A., and Defontaine, M. (2003). Assessing the reproducibility of quantitative ultrasound parameters with standardized coefficient of variation or intraclass correlation coefficient: A unique approach., Osteoporosis Int. 14 (7), 614-615. 10.1007/s00198-002-1334-7 (Pubitemid 36975562)
15. Haat, G., Padilla, F., Peyrin, F., and Laugier, P. (2008a). Fast wave ultrasonic propagation in trabecular bone: Numerical study of the influence of porosity and structural anisotropy., J. Acoust. Soc. Am. 123, 1694-1705. 10.1121/1.2832611 (Pubitemid 351379595)
16. Haat, G., Lhemery, A., Renaud, F., Padilla, F., Laugier, P., and Naili, S. (2008b) Velocity dispersion in trabecular bone: Influence of multiple scattering and of absorption., J. Acoust. Soc. Am. 124 (6), 4047-4058. 10.1121/1.3003077
17. Haire, T. J., and Langton, C. M. (1999). Biot theory: A review of its application to ultrasound propagation through cancellous bone., Bone 24, 291-295. 10.1016/S8756-3282(99)00011-3 (Pubitemid 29134966)
18. Hildebrand, T., Laib, A., Muller, R., Dequeker, J., and Ruegsegger, P. (1999). Direct three-dimensional morphometric analysis of human cancellous bone: Microstructural data from spine, femur, iliac crest, and calcaneus., J. Bone Miner. Res. 14, 1167-1174. 10.1359/jbmr.1999.14.7.1167 (Pubitemid 29314060)
19. Hoffmeister, B. K., Whitten, S. A., and Rho, J. Y. (2000). Low-megahertz ultrasonic properties of bovine cancellous bone., Bone 26, 635-642. 10.1016/S8756-3282(00)00275-1 (Pubitemid 30301657)
20. Hosokawa, A., and Otani, T. (1997). Ultrasonic wave propagation in bovine cancellous bone., J. Acoust. Soc. Am. 101, 558-562. 10.1121/1.418118 (Pubitemid 27026667)
21. Hosokawa, A., and Otani, T. (1998). Acoustic anisotropy in bovine cancellous bone., J. Acoust. Soc. Am. 103, 2718-2722. 10.1121/1.422790 (Pubitemid 28261604)
22. Hosokawa, A. (2005). Simulation of ultrasound propagation through bovine cancellous bone using elastic and Biot's finite-difference time-domain methods., J. Acoust. Soc. Am. 118 (3), 1782-1789. 10.1121/1.2000767 (Pubitemid 41318604)
23. Hosokawa, A. (2008). Development of a numerical cancellous bone model for finite-difference time-domain simulations of ultrasound propagation., IEEE Trans. Ultrason. Ferroelectr. Freq. Control 55, 1219-1233. 10.1109/TUFFC.2008. 785
24. Hughes, E. R., Leighton, T. G., Petley, G. W., and White, P. R. (1999). Ultrasonic propagation in cancellous bone: A new stratified model., Ultrason. Med. Biol. 25, 811-821. 10.1016/S0301-5629(99)00034-4 (Pubitemid 29270396)
25. Ji, Q., Le, L. H., Filipow, L. J., and Jackson S. A. (1998). Ultrasonic wave propagation in water-saturated aluminum foams., Ultrasonics 36, 759-765. 10.1016/S0041-624X(97)00161-3 (Pubitemid 128378404)
26. Johnson, D. L., Plona, T. J., and Scala, C. (1982). Tortuosity and acoustic slow waves., Phys. Rev. Lett. 49 (25), 1840-1844. 10.1103/PhysRevLett. 49.1840
27. Johnson, D. L., and Plona, T. J. (1982). Acoustic slow waves and the consolidation transition., J. Acoust. Soc. Am. 72, 556-565. 10.1121/1.388036
28. Keaveny, T. M., and Hayes, W. C. (1993). A 20-year perspective on the mechanical properties of trabecular bone., J. Biomech. Eng. 115, 534-542 10.1115/1.2895536 (Pubitemid 24000878)
29. Lakes, R., Yoon, H. S., and Katz, J. L. (1983). Slow compressional wave propagation in wet human and bovine cortical bone., Science 220, 513-515. 10.1126/science.6836296 (Pubitemid 13114111)
30. Lang, S. B. (1970). Ultrasonic method for measuring elastic coefficients of bone and results on fresh and dried bovine bones., IEEE Trans. Biomed Eng. 17, 101-105. 10.1109/TBME.1970.4502706
31. Langton, C. M., Palmer, S. B., and Porter, R. W. (1984). The measurement of broadband ultrasonic attenuation in cancellous bone., Eng. Med. 13, 89-91. 10.1243/EMED-JOUR-1984-013-022-02 (Pubitemid 14050856)
32. Langton, C. M., and Njeh, C. F. (2004). The Physical Measurement of Bone (IOP Publishing, London), Chap., pp. 412-464.
33. Le, L. H. (1998). An investigation of pulse-timing techniques for broadband ultrasonic velocity determination in cancellous bone: A simulation study., Phys. Med. Biol. 43, 2295-2308. 10.1088/0031-9155/43/8/021 (Pubitemid 28372624)
34. Le, L. H., Zhang, C., Ta, D., and Lou, E. (2010). Measurement of tortuosity in aluminum foams using airborne ultrasound., Ultrasonics 50, 1-5. 10.1016/j.ultras.2009.07.011
35. Lee, K. I., and Choi, M. J. (2009). Phase velocity and normalized broadband ultrasonic attenuation in polyacetal cuboid bone-mimicking phantoms., J. Acoust. Soc. Am. 121, EL263-EL269.
36. Legrand, E., Chappard, D., Pascaretti, C., Duquenne, M., Krebs, S., Rohmer, V., Basle, M. F., and Audran, M. (2000). Trabecular bone nicroarchitecture, bone mineral density, and vertebral fractures in male osteoporosis., J. Bone Miner. Res. 15, 13-19. 10.1359/jbmr.2000.15.1.13 (Pubitemid 30026927)
37. Lin, J. T., and Lane, J. M. (2004). Osteoporosis: A review., Clin. Orthop. Relat. Res. 425, 126-134. 10.1097/01.blo.0000132404.30139.f2 (Pubitemid 39062759)
38. Lobkis, O. I., and Weaver, R. L. (2001). Mode counts in an aluminum foam., J. Acoust. Soc. Am. 109, 2636-2641. 10.1121/1.1372914 (Pubitemid 32545107)
39. Lu, T. J., Hess, A., and Ashby, M. F. (1999). Sound absorption in metallic foams., J. Appl. Phys. 85, 7528-7539. 10.1063/1.370550 (Pubitemid 129306786)
40. 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. 120, EL55-EL61. 10.1121/1.2357187 (Pubitemid 44631680)
41. MatWeb, Online materials information resource at http://www.matweb.com (Last viewed May 1, 2010).
42. 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. 125, 3460-3466. 10.1121/1.3111107
43. Mohamed, M. M., Shaat, L. T., and Mahmoud, A. N. (2003). Propagation of ultrasonic waves through demineralized cancellous bone., IEEE Trans. Ultrason. Ferroelectr. Freq. Control 50, 279-288. 10.1109/TUFFC.2003.1193621
44. Mujagic, M., Ginsberg, H. J., and Cobbold, R. S. C. (2008). Development of a method for ultrasound-guided placement of pedicle screws., IEEE Trans. Ultrason. Ferroelectr. Freq. Control 55, 1267-1276. 10.1109/TUFFC.2008.789
45. Nguyen, T. V., Center, J. R., and Eisman, J. A. (2004). Osteoporosis: Underrated, underdiagnosed and undertreated., Med. J. Aust. 180, S18-S22.
46. Nicholson, P. H., Lowet, G., Langton, C. M., Dequeker, J., and Van der Perre, G. (1996). A comparison of time-domain and frequency-domain approaches to ultrasonic velocity measurement in trabecular bone., Phys. Med. Biol. 41, 2421-2435. 10.1088/0031-9155/41/11/013 (Pubitemid 26376913)
47. Nicholson, P. H., and Strelitzki, R. (1999). Ultrasonic slow waves in air-saturated cancellous bone., Ultrasonics 37, 445-449. 10.1016/S0041-624X(99) 00018-9 (Pubitemid 30509879)
48. Plona, T. J. (1980). Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies., Appl. Phys. Lett. 36, 259-261. 10.1063/1.91445
49. Plona, T. J., and. Johnson, D. (1980). Experimental study of the two bulk compressional modes in water-saturated porous structures., Ultrason. Symp. Proc. 1, 868-872. (Pubitemid 11484269)
50. Rossman, P., Zagzebski, J., Mesina, C., Sorenson, J., and Mazess, R. (1989). Comparison of speed of sound and ultrasound attenuation in the os calcis to bone density of radius, femur and lumbar spine., Clin. Phys. Physiol. Meas. 10, 353-360. 10.1088/0143-0815/10/4/007 (Pubitemid 20045638)
51. Sachse, W., and Pao, Y. H. (1977). On the determination of phase and group velocities of dispersive waves in solids., J. Appl. Phys. 49, 4320-4327. 10.1063/1.325484
52. Silverman, S. L. (2006). Lessons from osteoporosis clinical trials., Alzheimer's Dementia 2, 155-159. 10.1016/j.jalz.2006.04.006 (Pubitemid 43843106)
53. Strelitzki, R., and Evans, J. A. (1996). On the measurement of the velocity of ultrasound in the os calcis using short pulses., Eur. J. Ultrasound 4, 205-213. 10.1016/S0929-8266(96)00193-0 (Pubitemid 27090668)
54. Strelitzki, R., Evans, J. A., and Clarke, A. J. (1997). The influence of porosity and pore size on the ultrasonic properties of bone investigated using a phantom material., Osteoporosis Int. 7, 370-375. 10.1007/BF01623780 (Pubitemid 27346420)
55. Ulrich, D., Rietbergen, B. V., 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 (Pubitemid 29322061)
56. Verhoef, W. A., Cloostermans, M. J. T. M., and Thijssen, J. M. (1985). Diffraction and dispersion effects on the estimation of ultrasound attenuation and velocity in biological tissues., IEEE Trans. Biomed. Eng. 32, 521-529. 10.1109/TBME.1985.325569 (Pubitemid 15074299)
57. 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. 118, 1186-1192. 10.1121/1.1940448 (Pubitemid 41129251)
58. Wear, K. A. (2008a). Ultrasonic attenuation in parallel-nylon-wire cancellous-bone-mimicking phantoms., J. Acoust. Soc. Am. 124, 4042-4046. 10.1121/1.2998784
59. Wear, K. A., and Harris, G. R. (2008b). Frequency dependence of backscatter from thin, oblique, finite-length cylinders measured with a focused transducer-with applications in cancellous bone., J. Acoust. Soc. Am. 124, 3309-3314. 10.1121/1.2980524
60. Wear, K. A. (2009). The dependencies of phase velocity and dispersion on volume fraction in cancellous bone-mimicking-phantoms., J. Acoust. Soc. Am. 125, 1197-1201. 10.1121/1.3050310
61. Weaver, R. (1998). Ultrasonics in an aluminum foam., Ultrasonics 36, 435-442. 10.1016/S0041-624X(97)00064-4 (Pubitemid 128390681)
62. Werner, P. (2005). Knowledge about osteoporosis: Assessment, correlates and outcomes., Osteoporosis Int. 16, 115-127. 10.1007/s00198-004-1750-y (Pubitemid 40193197)
63. Westmacott, C. F. (1995). Osteoporosis-what is it, how is it measured and what can be done about it?, Radiography 1, 35-47. 10.1016/1078-8174(95)90008-X
64. Williams, J. L. (1992). Ultrasonic wave propagation in cancellous and cortical bone: prediction of some experimental results by Biot's theory., J. Acoust. Soc. Am. 91 (2), 1106-1112. 10.1121/1.402637