References
- C. F. Njeh, D. Hans, T. Fuerst, C. C. Gluer, and H. K. Genant, Quantitative Ultrasound: Assessment of Osteoporosis and Bone Status, pp. 10-11, Martin Dunitz, London, UK, (1999)
- 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) https://doi.org/10.1243/EMED_JOUR_1984_013_022_02
- P. Laugier, 'An overview of bone sonometry,' International Congress Series, Vol. 1274, pp. 23-32, (2004) https://doi.org/10.1016/j.ics.2004.07.034
- K. I. Lee and S. W. Yoon, 'Feasibility of bone assessment with leaky Lamb waves in bone phantoms and a bovine tibia,' J. Acoust. Soc. Am., Vol. 115, pp. 3210-3217, (2004) https://doi.org/10.1121/1.1707086
- J. L. Williams, 'Ultrasonic wave propagation in cancellous and cortical bone: prediction of some experimental results by Biot's theory,' J. Acoust. Soc. Am., Vol. 91, pp. 1106-1112, (1992) https://doi.org/10.1121/1.402637
- A. Hosokawa and T. Otani, 'Ultrasonic wave propagation in bovine cancellous bone,' J. Acoust. Soc. Am., Vol. 101, pp. 558-562, (1997) https://doi.org/10.1121/1.418118
- A. Hosokawa and T. Otani, 'Acoustic anisotropy in bovine cancellous bone,' J. Acoust. Soc. Am., Vol. 103, pp. 2718-2722, (1998) https://doi.org/10.1121/1.422790
- R. Strelitzki, P. H. F. Nicholson, and V. Paech, 'A model for ultrasonic scattering in cancellous bone based on velocity fluctuations in a binary mixture,' Physiol. Meas., Vol. 19, pp. 189-196, (1998) https://doi.org/10.1088/0967-3334/19/2/006
- 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) https://doi.org/10.1016/S0301-5629(99)00034-4
- K. I. Lee, H. S. Roh, and S. W. Yoon, 'Acoustic wave propagation in bovine cancellous bone: application of the modified Biot-Attenborough model,' J. Acoust. Soc. Am., Vol. 114, pp. 2284-2293, (2003) https://doi.org/10.1121/1.1610450
- K. I. Lee, E. R. Hughes, V. F. Humphrey, T. G. Leighton, and M. J. Choi, 'Empirical angle-dependent Biot and MBA Models for acoustic anisotropy in cancellous bone,' Phys. Med. Biol., Vol. 52, pp. 59-73, (2007) https://doi.org/10.1088/0031-9155/52/1/005
- M. Schoenberg, 'Wave propagation in alternating solid and fluid layers,' Wave Motion, Vol. 6, pp. 303-320, (1984) https://doi.org/10.1016/0165-2125(84)90033-7
- K. I. Lee, V. F. Humphrey, T. G. Leighton, and S. W. Yoon, 'Predictions of the modified Biot-Attenborough model for the dependence of phase velocity on porosity in cancellous bone,' Ultrasonics, Vol. 46, pp. 323-330, (2007) https://doi.org/10.1016/j.ultras.2007.01.012
- K. A. Wear, A. Laib, A. P. Stuber, and J. C. Reynolds, 'Comparison of measurements of phase velocity in human calcaneus to Biot theory,' J. Acoust. Soc. Am., Vol. 117, pp. 3319-3324, (2005) https://doi.org/10.1121/1.1886388
- K. A. Wear, 'The dependencies of phase velocity and dispersion on trabecular thickness and spacing in trabecular bone-mimicking phantoms,' J. Acoust. Soc. Am., Vol. 118, pp. 1186-1192, (2005) https://doi.org/10.1121/1.1940448
- R. Strelitzki, J. A. Evans, and A. J. Clarke, 'The influence of porosity and pore size on the ultrasonic properties of bone investigated using a phantom material,' Osteoporosis Int., Vol. 7, pp. 370-375, (1997) https://doi.org/10.1007/BF01623780
- W. Lin, Y. X. Qin, and C. Rubin, 'Ultrasonic wave propagation in trabecular bone predicted by the stratified model,' Ann. Biomed. Eng., Vol. 29, pp. 781-790, (2001) https://doi.org/10.1114/1.1397787
- K. A. Wear, 'A stratified model to predict dispersion in trabecular bone,' IEEE Trans. Ultrason. Ferroelectr. Freq. Control, Vol. 48, pp. 1079-1083, (2001) https://doi.org/10.1109/58.935726
- K. R. Waters and B. K. Hoffmeister, 'Kramers-Kronig analysis of attenuation and dispersion in trabecular bone,' J. Acoust. Soc. Am., Vol. 118, pp. 3912-3920, (2005) https://doi.org/10.1121/1.2126934
- F. J. Fry and J. E. Barger, 'Acoustical properties of the human skull,' J. Acoust. Soc. Am., Vol. 63, pp. 1576-1589, (1978) https://doi.org/10.1121/1.381852
- S. Pal, S. Saha, and G. N. Reddy, 'Frequency dependence of ultrasonic characteristics of cancellous bone,' in Biomedical Engineering, Pergamon, London, UK, (1982)
- P. Droin, G. Berger, and P. Laugier, 'Velocity dispersion of acoustic waves in cancellous bone,' IEEE Trans. Ultrason. Ferroelectr. Freq. Control, Vol. 45, pp. 581-592, (1998) https://doi.org/10.1109/58.677603