Application of the biot model to ultrasound in bone: Inverse problem

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 55, Issue 7, 2008, Pages 1516-1523

  Sebaa, Naima ^b   Fellah, Zine E A ^c   Fellah, Mohamed ^d   Ogam, Erick ^c   Mitri, Farid G ^a,e   Depollier, Claude ^f   Lauriks, Walter ^b  

^a IEEE

^b UNIVERSITY OF LEUVEN   (Belgium)

^c LABORATOIRE DE MÉCANIQUE ET D ACOUSTIQUE   (France)

^d UNIVERSITY OF SCIENCES AND TECHNOLOGY HOUARI BOUMEDIENE   (Algeria)

^e MAYO CLINIC   (United States)

^f UNIVERSITÉ DU MAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BONE; LEAST SQUARES APPROXIMATIONS; POISSON RATIO; PROBLEM SOLVING; ULTRASONICS;

BIOT MODELS; CANCELLOUS BONE; CHARACTERISTIC LENGTH; FIVE PARAMETERS; LEAST SQUARES METHODS; MEASURED SIGNALS; ULTRASONIC CHARACTERIZATION; YOUNG MODULUS;

INVERSE PROBLEMS;

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; BONE DENSITY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; ECHOGRAPHY; ELASTOGRAPHY; FEMUR; HUMAN; MECHANICAL STRESS; METHODOLOGY; PHYSIOLOGY; RADIATION SCATTERING; YOUNG MODULUS;

ALGORITHMS; BONE DENSITY; COMPUTER SIMULATION; ELASTIC MODULUS; ELASTICITY IMAGING TECHNIQUES; FEMUR; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, BIOLOGICAL; SCATTERING, RADIATION; STRESS, MECHANICAL; ULTRASONOGRAPHY;

EID: 47849100925     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/TUFFC.2008.827     Document Type: Article

References (29)

1. A. M. Parfitt, "Trabecular bone architecture in the pathogenesis and prevention of fracture," Am. J. Med., vol. 82, no. IB, pp. 68-72, 1987.
2. S. M. Ott, R. F. Kilcoyne, and C. H. Chestnut, III, "Ability of four different techniques of measuring bone mass to diagnose vertebral fractures in postmenopausal women," J. Bone Min. Res., vol. 2, pp. 201-210, 1987.
3. J. M. Alves, W. Xu, D. Lin, R. S. Siffert, J. T. Ryaby, and J. J. Kaufman, "Ultrasonic assessment of human and bovine trabecular bone: A comparison study," IEEE Trans. Biomed. Eng., vol. 43, no. 3, pp. 249-258, 1996.
4. C. C. Gluer, "Quantitative ultrasound techniques for the assessment of osteoporosis: Expert agreement on current status," J. Bone Min. Res., vol. 12, no. 8, pp. 1280-1288, 1997.
5. F. J. Fry and J. E. Barger, "Acoustical properties of the human skull," J. Acoust. Soc. Amer., vol. 63, pp. 1576-1590, 1978.
6. J. Y. Rho, "An ultrasonic method for measuring the elastic propi erties of human tibial cortical and cancellous bone," Ultrasonics, vol. 34, pp. 777-783, 1996.
7. R. B. Ashman, J. D. Corin, and C. H. Turner, "Elastic properties of cancellous bone: Measurement by an ultrasonic technique," J. Biomech., vol. 10, pp. 979-989, 1987.
8. R. B. Ashman and J. Y. Rho, "Elastic modulus of trabecular bone material," J. Biomech., vol. 21, pp. 177-181, 1988.
9. C. M. Langton, S. B. Palmer, and R. W. Porter, "The measurement of broadband ultrasonic attenuation in cancellous bone," Eng. Med., vol. 13, pp. 89-91, 1984.
10. E. R. Hughes, T. G. Leighton, G. W. Petley, and P. R. White, "Ultrasonic propagation in cancellous bone: A new stratified model," Ultrasound Med. Biol., vol. 25, pp. 811-821, 1999.
11. F. Padilla and P. Laugier, "Phase and group velocities of fast and slow compressional waves in trabecular bone," J. Acoust. Soc. Amer., vol. 108, no. 4, pp. 1949-1952, 2000.
12. F. Luppe, J. M. Conoir, and H. Franklin, "Scattering by a fluid cylinder in a porous medium: Application to trabecular bone," J. Acoust. Soc. Amer., vol. 111, pp. 2573-2582, 2002.
13. S. Chaffai, V. Roberjot, F. Peyrin, G. Berger, and P. Laugier, "Frequency dependence of ultrasonic backscattering in cancellous bone: Autocorrelation model and experimental results," J. Acoust. Soc. Amer., vol. 108, pp. 2403-2411, 2000.
14. K. A. Wear, "Frequency dependence of ultrasonic backscatter from human trabecular bone: Theory and experiment," J. Acoust. Soc. Amer., vol. 106, pp. 3659-3664, 1999.
15. M. Schoenberg, "Wave propagation in alternating solid and fluid layers," Wave Motion, vol. 6, pp. 303-321, 1984.
16. M. A. Biot, "Generalized theory of acoustic propagation in porous dissipative media," J. Acoust. Soc. Amer., vol. 34, no. 4, pp. 1254-1264, 1962.
17. M. A. Biot, "The theory of propagation of elastic waves in fluid-saturated porous solid. I. Higher frequency range," J. Acoust. Soc. Amer., vol. 28, pp. 179-191, 1956.
18. M. L. McKelvie, "Ultrasonic propagation in cancellous bone," Ph.D. thesis, University of Hull, Hull, UK, 1988.
19. J. L. Wilson, "Ultrasonic wave propagation in cancellous bone and cortical bone: prediction of some experimental results by Biot's theory," J. Acoust. Soc. Amer., vol. 91, pp. 1106-1112, 1992.
20. W. Lauriks, J. Thoen, I. Van Asbroeck, G. Lowet, and G. Vanderperre, "Propagation of ultrasonic pulses through trabecular bone," J. Phys. IV, vol. 4, pp. 1255-1258, 1994.
21. M. L. McKelvie and S. B. Palmer, "The interaction of ultrasound with cancellous bone," Phys. Med. Biol., vol. 36, no. 10, pp. 1331-1340, 1991.
22. T. J. Haire and C. M. Langton, "Biot theory: A review of its application on ultrasound propagation through cancellous bone," Bone, vol. 24, no. 4, pp. 291-295, 1999.
23. A. Hosokawa and T. Otani, "Ultrasonic wave propagation in bovine cancellous bone," J. Acoust. Soc. Amer., vol. 101, pp. 558-562, 1997.
24. A. Hosokawa, and T. Otani, "Acoustic anisotropy in bovine cancellous bone," J. Acoust. Soc. Amer., vol. 103, pp. 2718-2722, 1998.
25. D. L. Johnson, J. Koplik, and R. Dashen, "Theory of dynamic permeability and tortuosity in fluid-saturated porous media," J. Fluid Mech., vol. 176, pp. 379-402, 1987.
26. Z. E. A. Fellah, N. Sebaa, M. Fellah, F. G. Mitri, W. Lauriks, and C. Depollier, "Application of the Biot model to ultrasound in bone: Direct problem," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 55, no. 7, pp. 1508-1515, 2008.
27. D. L. Johnson, T. J. Plona, and H. Kojima, "Probing porous media, with first and second sound. II. Acoustic properties of water-saturated porous media," J. Appl. Phys., vol. 76, no. 1, pp. 115-125, 1994.
28. J. F. Allard, Propagation of Sound in Porous Media: Modeling Sound Absorbing Materials. London: Chapman and Hall, 1993.
29. N. P. Chortiros, "An inversion for Biot parameters in water-saturated sand," J. Acoust. Soc. Amer., vol. 112, no. 5, pp. 1853-1868, 2002.