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A new method for determining lumbar spine motion using Bayesian belief network

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Abstract

A Bayesian network dynamic model was developed to determine the kinematics of the intervertebral joints of the lumbar spine. Radiographic images in flexion and extension postures were used as input data for modeling, together with movement information from the skin surface using an electromagnetic motion tracking system. Intervertebral joint movements were then estimated by the graphic network. The validity of the model was tested by comparing the predicted position of the vertebrae in the neutral position with those obtained from the radiographic image in the neutral posture. The correlation between the measured and predicted movements was 0.99 (p < 0.01) with a mean error of less than 1.5°. The movement sequence of the various vertebrae was examined based on the model output, and wide variations in the kinematic patterns were observed. The technique is non-invasive and has potential to be used clinically to measure the kinematics of lumbar intervertebral movement.

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References

  1. Abbott J, Fritz J, McCane B, Shultz B, Herbison P, Lyons B, Stefanko G, Walsh R (2006) Lumbar segmental mobility disorders: comparison of two methods of defining abnormal displacement kinematics in a cohort of patients with non-specific mechanical low back pain. BMC Musculoskelet Disord 7:45

    Article  Google Scholar 

  2. Dvorak J, Panjabi MM, Chang DG, Theiler K, Grob D (1991) Functional radiographic diagnosis of the lumbar spine. Flexion–extension and lateral bending. Spine 16:562–571

    Article  Google Scholar 

  3. Dumas R, Blanchard B, Carlier R, de Loubresse CG, Le Huec JC, Marty C, Moinard M, Vital JM (2008) A semi-automated method using interpolation and optimisation for the 3D reconstruction of the spine from bi-planar radiography: a precision and accuracy study. Med Biol Eng Comput 46:85–92

    Article  Google Scholar 

  4. Frymoyer J, Pope M, Wilder D (1990) Segmental instability. In: Weinstein J, Wiesel S (eds) The lumbar spine. WB Saunders, Philadelphia, pp. 612–636

    Google Scholar 

  5. Gatton ML, Pearcy MJ (1999) Kinematics and movement sequencing during flexion of the lumbar spine. Clin Biomech 14:376–383

    Article  Google Scholar 

  6. Goodvin C, Park EJ, Huang K, Sakaki K (2006) Development of a real-time three-dimensional spinal motion measurement system for clinical practice. Med Biol Eng Comput 44:1061–1075

    Article  Google Scholar 

  7. Jensen FV (1996) An introduction to Bayesian networks. UCL Press, London

    Google Scholar 

  8. Jordan MI, Ghahramani Z, Jaakkola TS, Saul LK (1999) An introduction to variational methods for graphical models. Mach Learn 37:183–233

    Article  MATH  Google Scholar 

  9. Jordan MI (2004) Graphical models. Stat Sci 19:140–155

    Article  MATH  Google Scholar 

  10. Kaigle A, Pope M, Fleming B, Hansson T (1992) A method for the intravital measurement of interspinous kimatics. J Biomech 25:451–456

    Article  Google Scholar 

  11. Kanayama M, Abumi K, Kaneda K, Tadano S, Ukai T (1996) Phase lag of the intersegmental motion in flexion–extension of the lumbar and lumbosacral spine: an in vivo study. Spine 21:1416–1422

    Article  Google Scholar 

  12. Kanayama M, Tadano S, Kaneda K, Ukai T, Abumi K, Ito M (1995) A cineradiographic study on the lumbar disc deformation during flexion and extension of the trunk. Clin Biomech 10:193–199

    Article  Google Scholar 

  13. Korb KB, Nicholson AE (2003) Bayesian artificial intelligence. Chapman & Hall/CRC, Florida

    Google Scholar 

  14. Lau MC, Chan YH, Chan M, Woo J, Griffith J, Chan HL, Leung PC (2000) Vertebral deformity in Chinese men: prevalence, risk factors, bone mineral density, and body composition measurements. Calcif Tissue Int 66:47–52

    Article  Google Scholar 

  15. Lau MC, Woo J, Chan H, Chan KF, Griffith JF, Chan YH, Leung PC (1998) The health consequences of vertebral deformity in elderly Chinese men and women. Calcif Tissue Int 63:1–4

    Article  Google Scholar 

  16. Lauritzen SL, Wermuth N (1989) Graphpical models for associations between variables, some of which are qualitative and some quantitative. Ann Stat 17:31–57

    Article  MATH  MathSciNet  Google Scholar 

  17. Lee R (2002) Measurement of movements of the lumbar spine. Physiother Theory Pract 18:159–164

    Article  Google Scholar 

  18. Lee RYW (1995) The biomechanical basis of spinal manual therapy. University of Strathclyde, Glasgow

    Google Scholar 

  19. Lee RYW (2001) Kinematics of rotational mobilisation of the lumbar spine. Clin Biomech 16:481–488

    Article  Google Scholar 

  20. Lee RYW, Evans JH (1997) An in vivo study of the intervertebral movements produced by posteroanterior mobilisation. Clin Biomech 12:400–408

    Article  Google Scholar 

  21. Lee RYW, Laprade J, Fung EH (2003) A real-time gyroscopic system for three-dimensional measurement of lumbar spine motion. Med Eng Phys 25:817–824

    Article  Google Scholar 

  22. Lehman GJ (2004) Biomechanical assessments of lumbar spinal function. how low back pain sufferers differ from normals. Implications for outcome measures research. part i: kinematic assessments of lumbar function. J Manipulative Physiol Ther 27:57–62

    Article  Google Scholar 

  23. MacKay DJC (2003) Exact Marginalization in Graphs. In: MacKay DJC (ed) Information theory, inference, and learning algorithms. Cambridge University Press, Cambridge, pp. 334–340

    Google Scholar 

  24. Morl F, Blickham R (2006) Three-dimensional relation of skin markers to lumbar vertebrae of healthy subjects in different postures measured by open MRI. Eur Spine J 15:742–751

    Article  Google Scholar 

  25. McGill SM, Norman RW (1986) Partitioning of the L4–L5 dynamic moment into disc, ligantous and muscular components during lifting. Spine 11:666–678

    Article  Google Scholar 

  26. Nattrass CL, Nitschke JE, Disler PB, Chou MJ, Ooi KT (1999) Lumbar spine range of motion as a measure of physical and functional impairment: an investigation of validity. Clin Rehabil 13:211–218

    Article  Google Scholar 

  27. Okawa A, Shinomiya K, Komori H, Muneta T, Arai Y, Nakai O (1998) Dynamic motion study of the whole lumbar spine by videofluoroscopy. Spine 23:1743–1749

    Article  Google Scholar 

  28. Pearcy MJ (1985) Stereo radiography of lumbar spine motion. Acta Orthop Scand 56(Suppl 212):1–45

    MathSciNet  Google Scholar 

  29. Pearcy MJ, Hindle RJ (1989) New method for the non-invasive three dimensional measurement of human back movement. Clin Biomech 4:73–79

    Article  Google Scholar 

  30. Selles RW, Wagenaar RC, Smit TH, Wuisman PI (2001) Disorders in trunk rotation during walking in patients with low back pain: a dynamical systems approach. Clin Biomech 16:175–181

    Article  Google Scholar 

  31. Sigal L, Bhatia S, Roth S, Black MJ, Isard M (2004) Tracking loose-limbed people. In: The 2004 IEEE computer society conference on computer vision and pattern recognition (CVPR 2004), Washington, DC, USA

  32. Smyth PP, Taylor CJ, Adams JE (1999) Vertebral shape: automatic measurement with active shape models. Radiology 211:571–578

    Google Scholar 

  33. Sullivan MS, Shoaf LD, Riddle DL (2000) The relationship of lumbar flexion to disability in patients with low back pain. Phys Ther 80:240–250

    Google Scholar 

  34. Sun LW, Lee RYW, Lu W, Luk DK (2004) Modelling and simulation of the intervertebral movements of the lumbar spine using an inverse kinematic algorithm. Med Biol Eng Comput 42:740–746

    Article  Google Scholar 

  35. Takayanagi K, Takahashi K, Yamagata M, Moriya H, Kitahara H, Tamaki T (2001) Using cineradiography for continuous dynamic-motion analysis of the lumbar spine. Spine 26:1858–1865

    Article  Google Scholar 

  36. Teyhen DS, Flynn TW, Childs JD, Kuklo TR, Rosner MK, Polly DW, Abraham LD (2007) Fluoroscopic video to identify aberrant lumbar motion. Spine 32:E220–E229

    Article  Google Scholar 

  37. Toyama K, Blake A (2002) Probabilistic tracking with exemplars in a metric space. Int J Comput Vis 48:9–19

    Article  MATH  Google Scholar 

  38. Wong KWN, Luk KDK, Leong JCY, Wong SF, Wong KKY (2006) Continuous dynamic spinal motion analysis. Spine 31:414–419

    Article  Google Scholar 

  39. Yedidia JS, Freeman WT, Weiss Y (2003) Understanding belief propagation and its generalizations. In: Lakemeyer G, Nebel B (eds) Exploring artificial intelligence in the new millennium. Margan Kaufmann Publishers, San Fancisco, pp 239–270

    Google Scholar 

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Acknowledgments

This work was supported by the Hong Kong Research Grant Council (Competitive Earmarked Research Grant CERG CUHK5251/04E).

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Correspondence to Raymond Y. W. Lee.

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This work was supported by the Hong Kong Research Grant Council (Competitive Earmarked Research Grant CERG CUHK5251/04E).

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Ma, H.T., Yang, Z., Griffith, J.F. et al. A new method for determining lumbar spine motion using Bayesian belief network. Med Biol Eng Comput 46, 333–340 (2008). https://doi.org/10.1007/s11517-008-0318-y

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  • DOI: https://doi.org/10.1007/s11517-008-0318-y

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