Browse > Article
http://dx.doi.org/10.17661/jkiiect.2020.13.5.419

Theoretical observation of waves in cancellous bone  

Yoon, Young-June (Department of Mechanical Engineering, Hanyang University)
Chung, Jae-Pil (Department of Electronic Engineering, Gachon University)
Publication Information
The Journal of Korea Institute of Information, Electronics, and Communication Technology / v.13, no.5, 2020 , pp. 419-424 More about this Journal
Abstract
Poroelasticity theory has been widely used for detecting cancellous bone deterioration because of the safe use for humans. The tortuosity itself is an important indicator for ultrasound detection for bone diseases. The transport properties of cancellous bone are also important in bone mechanotransduction. In this paper, two important factors, the wave velocity and attenuation are examined for permeability (or tortuosity). The theoretical calculation for the relationship between the wave velocity (and attenuation) and permeability (or tortuosity) for cancellous bone is shown in this study. It is found that the wave along the solid phase (trabecular struts) is influenced not by tortuosity, but the wave along the fluid wave (bone fluid phase) is affected by tortuosity significantly. However, the attenuation is different that the attenuation of a fast wave has less influence than that of a slow wave because the slow wave is observed by the relative motion between the solid and fluid phases.
Keywords
Ultrasound; Poroelasticity; Cancellous bone; Attenuation; Wave velocity;
Citations & Related Records
연도 인용수 순위
  • Reference
1 M. A. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range. the Journal of the Acoustical Society of America, 28(2): pp. 179-191, 1956.   DOI
2 S. C. Cowin, Bone poroelasticity. Journal of biomechanics, 32(3): pp. 217-238, 1999.   DOI
3 J. L. Williams, Ultrasonic wave propagation in cancellous and cortical bone: prediction of some experimental results by Biot's theory. The Journal of the Acoustical Society of America, 91(2): pp. 1106-1112, 1992.   DOI
4 A. Hosokawa, T. Otani, Acoustic anisotropy in bovine cancellous bone. The Journal of the Acoustical Society of America, 103(5): pp. 2718-2722, 1998.   DOI
5 T. Haire, C. Langton, Biot theory: a review of its application to ultrasound propagation through cancellous bone. Bone, 24(4): pp. 291-295, 1999.   DOI
6 Y. J. Yoon, et al., The speed of sound through trabecular bone predicted by Biot theory. Journal of biomechanics, 45(4): pp. 716-718, 2012.   DOI
7 S.C. Cowin, Anisotropic poroelasticity: fabric tensor formulation. Mechanics of Materials, 36(8): pp. 665-677, 2004.   DOI
8 S. C. Cowin, L. Cardoso, Fabric dependence of wave propagation in anisotropic porous media. Biomechanics and modeling in mechanobiology, 10(1): pp. 39-65, 2011.   DOI
9 J. Neev, F. Yeatts, Electrokinetic effects in fluid-saturated poroelastic media. Physical Review B, 40(13): pp. 9135, 1989.   DOI
10 C. M. Langton, C. F. Njeh, The Measurement of Broadband Ultrasonic Attenuation in Cancellous Bone-A Review of the Science and Technology. Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on, 55(7): pp. 1546-1554, 2008.   DOI
11 M. McKelvie, S. Palmer, The interaction of ultrasound with cancellous bone. Physics in medicine and biology, 36(10): pp. 1331, 1991.   DOI
12 J. Williams, et al., Prediction of frequency and pore size dependent attenuation of ultrasound in trabecular bone using Biot's theory, in Mechanics of Poroelastic Media. Springer. pp. 263-271, 1996.
13 N. Sebaa, et al., Ultrasonic characterization of human cancellous bone using the Biot theory: inverse problem. The Journal of the Acoustical Society of America, 120(4): pp. 1816-1824, 2006.   DOI
14 E. R. Hughes, et al., Ultrasonic propagation in cancellous bone: a new stratified model. Ultrasound in medicine & biology, 25(5): pp. 811-821, 1999.   DOI
15 R. Hodgskinson, et al., The non-linear relationship between BUA and porosity in cancellous bone. Physics in medicine and biology, 41(11): pp. 2411, 1996.   DOI
16 H. Aygun, et al., Predictions of angle dependent tortuosity and elasticity effects on sound propagation in cancellous bone. The Journal of the Acoustical Society of America, 126(6): pp. 3286-3290, 2009.   DOI
17 K. Mizuno, et al., Effects of structural anisotropy of cancellous bone on speed of ultrasonic fast waves in the bovine femur. Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on, 55(7): pp. 1480-1487, 2008.   DOI
18 S. S. Kohles, et al., Direct perfusion measurements of cancellous bone anisotropic permeability. Journal of Biomechanics, 34(9): pp. 1197-1202, 2001.   DOI
19 M. J. Grimm, J. L. Williams, Measurements of permeability in human calcaneal trabecular bone. Journal of Biomechanics, 30(7): pp. 743-745, 1997.   DOI
20 T. Beno, et al., Estimation of bone permeability using accurate microstructural measurements. Journal of biomechanics, 39(13): pp. 2378-2387, 2006.   DOI
21 M. A. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. the Journal of the Acoustical Society of America, 28(2): pp. 168-178, 1956.   DOI