한국정보전자통신기술학회논문지 (The Journal of Korea Institute of Information, Electronics, and Communication Technology)

  • 제13권5호
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  • Pages.419-424
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  • 2020
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  • 2005-081X(pISSN)
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  • 2288-9302(eISSN)
한국정보전자통신기술학회 (Korea Information Electronic Communication Technology)
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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)
  • 투고 : 2020.10.03
  • 심사 : 2020.10.17
  • 발행 : 2020.10.30
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초록

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.

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참고문헌

  1. 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. https://doi.org/10.1121/1.1908239
  2. 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. https://doi.org/10.1121/1.1908241
  3. S. C. Cowin, Bone poroelasticity. Journal of biomechanics, 32(3): pp. 217-238, 1999. https://doi.org/10.1016/S0021-9290(98)00161-4
  4. 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. https://doi.org/10.1121/1.402637
  5. A. Hosokawa, T. Otani, Acoustic anisotropy in bovine cancellous bone. The Journal of the Acoustical Society of America, 103(5): pp. 2718-2722, 1998. https://doi.org/10.1121/1.422790
  6. T. Haire, C. Langton, Biot theory: a review of its application to ultrasound propagation through cancellous bone. Bone, 24(4): pp. 291-295, 1999. https://doi.org/10.1016/S8756-3282(99)00011-3
  7. 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. https://doi.org/10.1016/j.jbiomech.2011.12.007
  8. 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. https://doi.org/10.1109/TUFFC.2008.831
  9. M. McKelvie, S. Palmer, The interaction of ultrasound with cancellous bone. Physics in medicine and biology, 36(10): pp. 1331, 1991. https://doi.org/10.1088/0031-9155/36/10/003
  10. 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. https://doi.org/10.1121/1.2335420
  11. E. R. Hughes, et al., Ultrasonic propagation in cancellous bone: a new stratified model. Ultrasound in medicine & biology, 25(5): pp. 811-821, 1999. https://doi.org/10.1016/S0301-5629(99)00034-4
  12. 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. https://doi.org/10.1088/0031-9155/41/11/012
  13. 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.
  14. 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. https://doi.org/10.1121/1.3242358
  15. S. S. Kohles, et al., Direct perfusion measurements of cancellous bone anisotropic permeability. Journal of Biomechanics, 34(9): pp. 1197-1202, 2001. https://doi.org/10.1016/S0021-9290(01)00082-3
  16. M. J. Grimm, J. L. Williams, Measurements of permeability in human calcaneal trabecular bone. Journal of Biomechanics, 30(7): pp. 743-745, 1997. https://doi.org/10.1016/S0021-9290(97)00016-X
  17. T. Beno, et al., Estimation of bone permeability using accurate microstructural measurements. Journal of biomechanics, 39(13): pp. 2378-2387, 2006. https://doi.org/10.1016/j.jbiomech.2005.08.005
  18. 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. https://doi.org/10.1109/TUFFC.2008.823
  19. S.C. Cowin, Anisotropic poroelasticity: fabric tensor formulation. Mechanics of Materials, 36(8): pp. 665-677, 2004. https://doi.org/10.1016/j.mechmat.2003.05.001
  20. 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. https://doi.org/10.1007/s10237-010-0217-7
  21. J. Neev, F. Yeatts, Electrokinetic effects in fluid-saturated poroelastic media. Physical Review B, 40(13): pp. 9135, 1989. https://doi.org/10.1103/PhysRevB.40.9135