Table of Contents Author Guidelines Submit a Manuscript
BioMed Research International
Volume 2017, Article ID 3083141, 10 pages
https://doi.org/10.1155/2017/3083141
Research Article

Transverse and Oblique Long Bone Fracture Evaluation by Low Order Ultrasonic Guided Waves: A Simulation Study

1Department of Electronic Engineering, Fudan University, Shanghai 200433, China
2Laboratoire d’Imagerie Biomédicale, UPMC Univ Paris 06, INSERM UMR-S 1146, CNRS UMR 7371, Sorbonne Université, 75006 Paris, France
3State Key Laboratory of ASIC and System, Fudan University, Shanghai 200433, China
4Key Laboratory of Medical Imaging Computing and Computer Assisted Intervention (MICCAI) of Shanghai, Shanghai 200032, China
5Department of Radiology and Diagnostic Imaging, University of Alberta, Edmonton, AB, Canada

Correspondence should be addressed to Dean Ta; nc.ude.naduf@adt

Received 4 October 2016; Accepted 28 November 2016; Published 15 January 2017

Academic Editor: Qing-Hua Huang

Copyright © 2017 Ying Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. M. Iyer, “Anatomy of Bone, Fracture, and Fracture Healing,” pp. 1–11, 2013.
  2. N. Wu, Y.-C. Lee, D. Segina et al., “Economic burden of illness among US patients experiencing fracture nonunion,” Orthopedic Research and Reviews, vol. 5, pp. 21–33, 2013. View at Google Scholar
  3. R. Burge, B. Dawson-Hughes, D. H. Solomon, J. B. Wong, A. King, and A. Tosteson, “Incidence and economic burden of osteoporosis-related fractures in the United States, 2005–2025,” Journal of Bone and Mineral Research, vol. 22, no. 3, pp. 465–475, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. I. Barata, R. Spencer, C. Raio, M. Ward, and A. Sama, “15 ultrasound detection of long bone fractures in pediatric emergency department patients,” Annals of Emergency Medicine, vol. 58, no. 4, pp. S182–S183, 2011. View at Google Scholar
  5. R. Burge, B. Dawson-Hughes, D. H. Solomon, J. B. Wong, A. King, and A. Tosteson, “Incidence and economic burden of osteoporosis-related fractures in the United States, 2005-2025,” Journal of Bone and Mineral Research, vol. 22, no. 3, pp. 465–475, 2007. View at Publisher · View at Google Scholar · View at Scopus
  6. D. W. Dempster, “Osteoporosis and the burden of osteoporosis-related fractures,” The American Journal of Managed Care, vol. 17, supplement 6, pp. S164–S169, 2011. View at Google Scholar · View at Scopus
  7. P. Corso, E. Finkelstein, T. Miller, I. Fiebelkorn, and E. Zaloshnja, “Incidence and lifetime costs of injuries in the United States,” Injury Prevention, vol. 12, no. 4, pp. 212–218, 2006. View at Publisher · View at Google Scholar · View at Scopus
  8. L. C. Y. Wong, W. K. Chiu, M. Russ, and S. Liew, “Review of techniques for monitoring the healing fracture of bones for implementation in an internally fixated pelvis,” Medical Engineering & Physics, vol. 34, no. 2, pp. 140–152, 2012. View at Publisher · View at Google Scholar · View at Scopus
  9. J. E. Rabiner, H. Khine, J. R. Avner, L. M. Friedman, and J. W. Tsung, “Accuracy of point-of-care ultrasonography for diagnosis of elbow fractures in children,” Annals of Emergency Medicine, vol. 61, no. 1, pp. 9–17, 2013. View at Publisher · View at Google Scholar · View at Scopus
  10. K. P. Cross, “Bedside ultrasound for pediatric long bone fractures,” Clinical Pediatric Emergency Medicine, vol. 12, no. 1, pp. 27–36, 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. Q. Huang, B. Xie, P. Ye, and Z. Chen, “3-D ultrasonic strain imaging based on a linear scanning system,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 62, no. 2, pp. 392–400, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. Q. Huang, Y. Huang, W. Hu, and X. Li, “Bezier interpolation for 3-D freehand ultrasound,” IEEE Transactions on Human-Machine Systems, vol. 45, no. 3, pp. 385–392, 2015. View at Publisher · View at Google Scholar · View at Scopus
  13. C. Liu, F. Xu, D. Ta et al., “Measurement of the human calcaneus in vivo using ultrasonic backscatter spectral centroid shift,” Journal of Ultrasound in Medicine, vol. 35, no. 10, pp. 2197–2208, 2016. View at Publisher · View at Google Scholar
  14. Z. Chen, Y. Chen, and Q. Huang, “Development of a wireless and near real-time 3D ultrasound strain imaging system,” IEEE Transactions on Biomedical Circuits and Systems, vol. 10, no. 2, pp. 394–403, 2016. View at Publisher · View at Google Scholar · View at Scopus
  15. K. Eckert, O. Ackermann, B. Schweiger, E. Radeloff, and P. Liedgens, “Ultrasound evaluation of elbow fractures in children,” Journal of Medical Ultrasonics, vol. 40, no. 4, pp. 443–451, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. H. Li, L. H. Le, M. D. Sacchi, and E. H. M. Lou, “Ultrasound imaging of long bone fractures and healing with the split-step fourier imaging method,” Ultrasound in Medicine & Biology, vol. 39, no. 8, pp. 1482–1490, 2013. View at Publisher · View at Google Scholar · View at Scopus
  17. E. Bossy, M. Talmant, and P. Laugier, “Effect of bone cortical thickness on velocity measurements using ultrasonic axial transmission: a 2D simulation study,” Journal of the Acoustical Society of America, vol. 112, no. 1, pp. 297–307, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. P. Laugier, “Instrumentation for in vivo ultrasonic characterization of bone strength,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 55, no. 6, pp. 1179–1196, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. V. Protopappas, M. Vavva, D. Fotiadis, and K. Malizos, “Ultrasonic monitoring of bone fracture healing,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 55, no. 6, pp. 1243–1255, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. S. P. Dodd, J. L. Cunningham, A. W. Miles, S. Gheduzzi, and V. F. Humphrey, “Ultrasound transmission loss across transverse and oblique bone fractures: an in vitro study,” Ultrasound in Medicine & Biology, vol. 34, no. 3, pp. 454–462, 2008. View at Publisher · View at Google Scholar · View at Scopus
  21. C. B. Machado, W. C. de Albuquerque Pereira, M. Talmant, F. Padilla, and P. Laugier, “Computational evaluation of the compositional factors in fracture healing affecting ultrasound axial transmission measurements,” Ultrasound in Medicine & Biology, vol. 36, no. 8, pp. 1314–1326, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. I. M. Siegel, G. T. Anast, and T. Fields, “The determination of fracture healing by measurement of sound velocity across the fracture site,” Surgery, Gynecology & Obstetrics, vol. 107, no. 3, p. 327, 1958. View at Google Scholar
  23. S. Gheduzzi, S. P. Dodd, A. W. Miles, V. F. Humphrey, and J. L. Cunningham, “Numerical and experimental simulation of the effect of long bone fracture healing stages on ultrasound transmission across an idealized fracture,” The Journal of the Acoustical Society of America, vol. 126, no. 2, pp. 887–894, 2009. View at Publisher · View at Google Scholar · View at Scopus
  24. P. Moilanen, “Ultrasonic guided waves in bone,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 55, no. 6, pp. 1277–1286, 2008. View at Publisher · View at Google Scholar · View at Scopus
  25. K. Xu, D. Ta, and W. Wang, “Multiridge-based analysis for separating individual modes from multimodal guided wave signals in long bones,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 57, no. 11, pp. 2480–2490, 2010. View at Publisher · View at Google Scholar · View at Scopus
  26. V. T. Potsika, K. N. Grivas, V. C. Protopappas et al., “Application of an effective medium theory for modeling ultrasound wave propagation in healing long bones,” Ultrasonics, vol. 54, no. 5, pp. 1219–1230, 2014. View at Publisher · View at Google Scholar · View at Scopus
  27. K. Xu, D. Ta, R. He, Y.-X. Qin, and W. Wang, “Axial transmission method for long bone fracture evaluation by ultrasonic guided waves: simulation, phantom and in vitro experiments,” Ultrasound in Medicine & Biology, vol. 40, no. 4, pp. 817–827, 2014. View at Publisher · View at Google Scholar · View at Scopus
  28. C. B. Machado, W. C. D. A. Pereira, M. Granke, M. Talmant, F. Padilla, and P. Laugier, “Experimental and simulation results on the effect of cortical bone mineralization in ultrasound axial transmission measurements: a model for fracture healing ultrasound monitoring,” Bone, vol. 48, no. 5, pp. 1202–1209, 2011. View at Publisher · View at Google Scholar · View at Scopus
  29. G. Barbieri, C. H. Barbieri, N. Mazzer, and C. A. Pelá, “Ultrasound propagation velocity and broadband attenuation can help evaluate the healing process of an experimental fracture,” Journal of Orthopaedic Research, vol. 29, no. 3, pp. 444–451, 2011. View at Publisher · View at Google Scholar · View at Scopus
  30. P. Laugier, “Quantitative ultrasound instrumentation for bone in vivo characterization,” Bone Quantitative Ultrasound, pp. 47–71, 2010. View at Publisher · View at Google Scholar · View at Scopus
  31. M. G. Vavva, V. C. Protopappas, L. N. Gergidis, A. Charalambopoulos, D. I. Fotiadis, and D. Polyzos, “The effect of boundary conditions on guided wave propagation in two-dimensional models of healing bone,” Ultrasonics, vol. 48, no. 6-7, pp. 598–606, 2008. View at Publisher · View at Google Scholar · View at Scopus
  32. K. Xu, D. Ta, P. Moilanen, and W. Wang, “Mode separation of Lamb waves based on dispersion compensation method,” Journal of the Acoustical Society of America, vol. 131, no. 4, pp. 2714–2722, 2012. View at Publisher · View at Google Scholar
  33. T. N. H. T. Tran, K.-C. T. Nguyen, M. D. Sacchi, and L. H. Le, “Imaging ultrasonic dispersive guided wave energy in long bones using linear radon transform,” Ultrasound in Medicine and Biology, vol. 40, no. 11, pp. 2715–2727, 2014. View at Publisher · View at Google Scholar · View at Scopus
  34. K. Xu, D. Ta, D. Cassereau et al., “Multichannel processing for dispersion curves extraction of ultrasonic axial-transmission signals: comparisons and case studies,” The Journal of the Acoustical Society of America, vol. 140, no. 3, pp. 1758–1770, 2016. View at Publisher · View at Google Scholar
  35. K. Xu, D. Ta, B. Hu, P. Laugier, and W. Wang, “Wideband dispersion reversal of lamb waves,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 61, no. 6, pp. 997–1005, 2014. View at Publisher · View at Google Scholar · View at Scopus
  36. K. Xu, J. Minonzio, D. Ta, B. Hu, W. Wang, and P. Laugier, “Sparse SVD method for high-resolution extraction of the dispersion curves of ultrasonic guided waves,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 63, no. 10, pp. 1514–1524, 2016. View at Publisher · View at Google Scholar
  37. Z. Zhang, K. Xu, D. Ta, and W. Wang, “Joint spectrogram segmentation and ridge-extraction method for separating multimodal guided waves in long bones,” Science China: Physics, Mechanics and Astronomy, vol. 56, no. 7, pp. 1317–1323, 2013. View at Publisher · View at Google Scholar · View at Scopus
  38. K. Xu, D. Ta, Z. Su, and W. Wang, “Transmission analysis of ultrasonic Lamb mode conversion in a plate with partial-thickness notch,” Ultrasonics, vol. 54, no. 1, pp. 395–401, 2014. View at Publisher · View at Google Scholar · View at Scopus
  39. K. Xu, D. Liu, D. Ta, B. Hu, and W. Wang, “Quantification of guided mode propagation in fractured long bones,” Ultrasonics, vol. 54, no. 5, pp. 1210–1218, 2014. View at Publisher · View at Google Scholar · View at Scopus
  40. J. L. Rose, “Ultrasonic waves in solid media,” 2004.
  41. E. Bossy, M. Talmant, M. Defontaine, F. Patat, and P. Laugier, “Bidirectional axial transmission can improve accuracy and precision of ultrasonic velocity measurement in cortical bone: a validation on test materials,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 51, no. 1, pp. 71–79, 2004. View at Publisher · View at Google Scholar · View at Scopus
  42. I. Dudkiewicz, M. Heim, M. Salai, and A. Blankstein, “The biology of fracture healing in long bones,” Journal of Musculoskeletal Research, vol. 12, no. 2, pp. 105–112, 2009. View at Publisher · View at Google Scholar
  43. D. Comiskey, B. J. MacDonald, W. T. McCartney, K. Synnott, and J. O'Byrne, “Predicting the external formation of callus tissues in oblique bone fractures: idealised and clinical case studies,” Biomechanics and Modeling in Mechanobiology, vol. 12, no. 6, pp. 1277–1282, 2013. View at Publisher · View at Google Scholar · View at Scopus
  44. V. C. Protopappas, D. I. Fotiadis, and K. N. Malizos, “Guided ultrasound wave propagation in intact and healing long bones,” Ultrasound in Medicine & Biology, vol. 32, no. 5, pp. 693–708, 2006. View at Publisher · View at Google Scholar · View at Scopus