Browse > Article

Prediction of the Dependence of Phase Velocity on Porosity in Cancellous Bone  

Lee, Kang-Il (Department of Physics, Kangwon National University)
Choi, Min-Joo (Department of Medicine, Cheju National University, NHS Foundation Trust)
Publication Information
The Journal of the Acoustical Society of Korea / v.27, no.2E, 2008 , pp. 45-50 More about this Journal
Abstract
In recent years, quantitative ultrasound (QUS) technologies have played a growing role in the diagnosis of osteoporosis. Most of the commercial bone somometers measure speed of sound (SOS) and/or broadband ultrasonic attenuation (EUA) at peripheral skeletal sites. However, the QUS parameters are purely empirical measures that have not yet been firmly linked to physical parameters such as bone strength or porosity. In the present study, the theoretical models for wave propagation in cancellous bone, such as the Biot model, the stratified model, and the modified Biot-Attenborough (MBA) model, were applied to predict the dependence of phase velocity on porosity in cancellous bone. The optimum values for the input parameters of the three models in cancellous bone were determined by comparing the predictions with the previously published measurements in human cancellous bone in vitro. This modeling effort is relevant to the use of QUS in the diagnosis of osteoporosis because SOS is negatively correlated to the fracture risk of bone, and also advances our understanding of the relationship between phase velocity and porosity in cancellous bone.
Keywords
Osteoporosis; Cancellous bone; Porosity; Ultrasound; Phase velocity; Biot model; Stratified model; Modified Biot-Attenborough model;
Citations & Related Records
연도 인용수 순위
  • Reference
1 P. Laugier, "An overview of bone sonometry, " International Congress Series 1274, 23-32, 2004   DOI   ScienceOn
2 C. M. Langton, S. B. Palmer, and R. W. Porter, "The measurement of broadband ultrasonic attenuation in cancellous bone," Eng. Med. 13, 89-91, 1984   DOI
3 W. Lin, Y. X. Qin, and C. Rubin, "Ultrasonic wave propagation in trabecular bone predicted by the stratified model," Ann. Biomed. Eng. 29, 781-790, 2001   DOI   ScienceOn
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. 114, 2284-2293, 2003   DOI   ScienceOn
5 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 46, 323-330, 2007   DOI   ScienceOn
6 T. J. Haire and C. M. Langton, "Biot theory: a review of its application to ultrasound propagation through cancellous bone," Bone 24, 291-295, 1999   DOI   ScienceOn
7 M. Schoenberg, Wave propagation in alternating " solids and fluid layers," Wave Motion 6, 303-320, 1984   DOI   ScienceOn
8 C. F. Njeh, D. Hans, T. Fuerst, C. C. Gluer, and H. K. Genant, Quantitative Ultrasound: Assessment of Osteoporosis and Bone Status (Martin Dunitz, London, 1999), pp.10
9 M. A. Biot, "Theory of propagation of elastic waves in a fluid -saturated solid. I. Low-frequency range," J. Acoust. Soc. Am. 115, 168-178, 1956
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. 25, 811-821, 1999   DOI   ScienceOn
11 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. 117, 3319-3324, 2005   DOI   ScienceOn
12 H. S. Roh and S. W. Yoon, "Acoustic diagnosis for porous medium with circular cylindrical pores," J. Acoust. Soc. Am. 115, 1114-1124, 2004   DOI   ScienceOn
13 C. Zwikker and C. W. Kosten, Sound Absorbing Materials (Elsevier, Amsterdam, 1949), pp.27
14 K. Attenborough, "Acoustic characteristics of rigid fibrous absorbents and granular materials," J. Acoust. Soc. Am. 73, 785-799, 1983   DOI   ScienceOn
15 K. A. Wear, "A stratified model to predict dispersion in trabecular bone," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48, 1079 -1083, 2001   DOI   ScienceOn