Modelling and simulation of the intervertebral movements of the lumbar spine using an inverse kinematic algorithm

Medical and Biological Engineering and Computing

Volumn 42, Issue 6, 2004, Pages 740-746

  Sun, L W ^a   Lee, Raymond Y W ^a   Lu, W ^b   Luk, K D K ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Intervertebral motion; Inverse kinematics; Lumbar spine; Optimisation

Indexed keywords

BIOLOGICAL ORGANS; BIOMECHANICS; COMPUTER SIMULATION; MATHEMATICAL MODELS; X RAYS;

INTERVERTEBRAL TRANSLATION; INVASIVE MEASUREMENTS; INVERSE KINEMATIC MODELS; X-RAY FILMS;

KINEMATICS;

ADULT; ALGORITHM; ARTICLE; BIOMECHANICS; CONTROLLED STUDY; CORRELATION ANALYSIS; FEMALE; GEOMETRY; HUMAN; HUMAN EXPERIMENT; INTERVERTEBRAL ARTICULATION; INTERVERTEBRAL DISK; JOINT FUNCTION; JOINT MOBILITY; KINEMATICS; LUMBAR SPINE; MALE; MATHEMATICAL COMPUTING; SENSITIVITY ANALYSIS; SPINE MOBILITY; SPINE RADIOGRAPHY; STATISTICAL ANALYSIS; STATISTICAL SIGNIFICANCE; VALIDATION PROCESS;

ALGORITHMS; BIOMECHANICS; HUMANS; JOINTS; LUMBAR VERTEBRAE; MATHEMATICS; MODELS, BIOLOGICAL; MOVEMENT; POSTURE; ROBOTICS; ROTATION;

EID: 10244222913     PISSN: 01400118     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02345206     Document Type: Article

References (40)

1. Allard, P., Stokes, I. A. F., and Blanchi, J. P. (1995): 'Three-dimensional analysis of Human Movement' in 'Human Kinetics' (Champaign, IL, 1995)
2. Biryukova, E. V., Roby-Brami, A., Frolov, A. A., and Mokhtari, M. (2000): 'Kinematics of human arm reconstructed from spatial tracking system recordings', J. Biomech., 33, pp. 985-995
3. Brown, R. H., Burstein, A. H., Nash, C. L., and Schock, C. C. (1976): 'Spinal analysis using a three-dimensional radiographic technique', J. Biomech., 9, pp. 355-365
4. Chaffin, D. B., Andersson, G. B. J., and Martin, B. J. (1999): 'Occupational biomechanics', 3rd edn (Wiley InterScience, New York, 1999)
5. Chen, K., Giblin, P., and Irving, A. (1999): 'Mathematical explorations with Matlab' (Cambridge University Press, 1999)
6. Craig, J. J. (1989): 'Introduction to robotics: mechanics and control' (Addison-Wesley, 1989)
7. Dvorak, J., Panjabi, M. M., Chang, D. G., Theiler, K., and Grob, D. (1991): 'Functional radiographic diagnosis of the lumbar spine. Flexion-extension and lateral bending', Spine, 16, pp. 562-571
8. Fujie, H., Mabuchi, K., Woo, S. L., Livesay, G. A., Arai, S., and Tsukamoto, Y. (1993): 'The use of robotics technology to study human joint kinematics: A new methodology' J. Biomech. Eng., 115, pp. 211-217
9. Golub, G. H., and Van Loan, C. F. (1996): 'The singular value decomposition and unitary matrixes', in 'Matrix computations, 3rd edn', (Johns Hopkins University Press, Baltimore, MD, 1996.)
10. Jung, E. S., Choe, J., and Kim, S. H. (1994): 'Psychophysical cost function of joint movement for arm reach posture prediction'. Proc 38th Annual Meeting Human Factors and Ergonomics Society, 1, pp. 636-640
11. Kaigle, A. M., Pope, M. H., Fleming, B. C., and Hansson, T. (1992): 'Technical note: a method for the intravital measurement of interspinous kinematics' J. Biomech., 25, pp. 451-456
12. Kanayama, M., Abumi, K., Kaneda, K., Tadano, S., and Ukai, T. (1996): 'Phase lag of the intersegmental motion in flexion-extension of the lumbar and lumbosacral spine: an in vivo study', Spine, 21, pp. 1416-1422
13. Leavers, V. F. (1992): 'Shape detection in computer vision using Hough transform' (Springer Verlag, 1992)
14. Lee, R. Y. W. (1995): 'The biomechanical basis of spinal manual therapy'. PhD thesis, University of Strathclyde, Glasgow, UK
15. Lee, R. Y. W., and Evans, J. H. (1997): 'An in vivo study of the intervertebral movements produced by posteroanterior mobilisation', Clin. Biomech., 12, pp. 400-408
16. Lee, R. Y. W., and Munn, J. (2000): 'Passive moment about the hip in straight leg raising', Clin. Biomech., 12, pp. 330-334
17. Lee, R. Y. W. (2001): 'Kinematics of rotational mobilisation of the lumbar spine', Clin. Biomech., 16, pp. 481-488
18. McCarthy, J. M. (1990): 'Introduction to theoretical kinematics', (MIT Press, Cambridge, MA, 1990)
19. McGill, S. M., and Norman, R. W. (1986): 'Partitioning of the L4-L5 dynamic moment into disc, ligamentous, and muscular components during lifting', Spine, 11, pp. 666-678
20. Panjabi, M. M., Chang, D., and Dvorak, J. (1992a): 'An analysis of errors in kinematic parameters associated with in vivo functional radiographs', Spine, 17, pp. 200-205
21. Panjabi, M. M., Goel, V., Oxland, T., Takata, K., Duranceau, J., Krag, M., and Price, M. (1992b): 'Human lumbar vertebrae. Quantitative three-dimensional anatomy', Spine, 17, pp. 299-306
22. Pearcy, M. J. (1985): 'Stereo radiography of lumbar spine motion', Acta. Orthop. Scand., 56, pp. 1-45.
23. Pearcy, M. J., and Hindle, R. J. (1989): 'New method for the non-invasive three-dimensional measurement of human back movement', Clin. Biomech., 4, pp. 73-79.
24. Porter, R. W., Wicks, M., and Ottewell, D. (1978): 'Measurement of the spinal canal by diagnostic ultrasound', J. Bone Joint Surg., 60B, pp. 481-484
25. Rosen, M., Breen, A., Hamann, W., Harber, P., Jayson, M. I. V., Kelly, E., et al. (1994): 'Management guidelines for back pain'. Report of a clinical standards advisory group committee on back pain, (HMSO London, 1994), pp. 65-71
26. Schaffer, W. O., Spratt, K. F., Weinstein, J., Lehmann, T. R., and Goel, V. (1990): 'The consistency and accuracy of roentgenograms for measuring sagittal translation in the lumbar vertebral motion segment. An experimental model', Spine, 15, 741-750
27. Sommer Ill, H. J., and Miller, N. R. (1980): 'A technique for kinematic modeling of anatomical joints', J. Biomech. Eng., 102 pp. 311-317
28. Stokes, I. A. F., Bevins, T. M., and Lunn, R. A. (1987): 'Back surface curvature and measurement of lumbar spinal motion', Spine, 12, pp. 355-361
29. Suzuki, S., Yamamuro, T., Shikata, J., Shimizu, K., and Iida, H. (1989): 'Ultrasound measurement of vertebral rotation in idiopathic scoliosis', J. Bone Joint Surg., 71B, pp. 252-255
30. Takayanagi, K., Takahashi, K., Yamagata, M., Moriya, H., Kitahara, H., and Tamaki, T. (2001): 'Using cineradiography for continuous dynamic-motion analysis of the lumbar spine', Spine, 26, pp. 1858-1865
31. Tencer, A. F., and Mayer, T. G. (1983): 'Soft tissue strain and facet face interaction in the lumbar intervertebral joint. Part I: Input data and computational technique', J. Biomech. Eng., 105 pp. 201-209
32. Tilg, B., Fischer, G., Modre, R., Hanser, F., Messnarz, B., Schocke, M., Kremser, C., Berger, T., Hintringer, F., and Roithinger, F. X. (2002a): 'Model-based imaging of cardiac electrical excitation in humans' kinematics of human arm reconstructed from spatial tracking system recordings', IEEE Trans. Med. Imag., 21, pp. 1031-1039.
33. Van Den Bogert, A. J., Smith, G. D., and Nigg, B. M. (1994): 'In vivo determination of the anatomical axes of the ankle joint complex: an optimization approach', J. Biomech., 27, pp. 1477-1488
34. Wang, X. (1999): 'A behavior-based inverse kinematics algorithm to predict arm prehension postures for computer-aided ergonomic evaluation', J. Biomech., 32, pp. 453-460
35. White, A. A., and Panjabi, M. M. (1978): 'Clinical biomechanics of the spine', (J.B. Lippincott, Philadelphia, 1978)
36. Yamamoto, I., Panjabi, M. M., Crisco, J. J., and Oxland, T. (1989): 'Three-dimensional movements of the whole lumbar spine lumbosacral joint', Spine, 14, pp. 1256-1260.
37. Zatsiorsky, V. M. (1998): 'Kinematics of Human Motion' in 'Human Kinetics' (Champaign, 1998)
38. Zhang, X., and Chaffin, D. B. (1996): 'An optimization-based differential inverse kinematics approach for modeling three-dimensional dynamic postures during seated reaching movements', in 'Technical report TR96-15' (University of Michigan, MI, USA)
39. Zheng, Y., Allen, R., and Nixon, M. S. (2003): 'Lumbar spine visualisation based on kinematic analysis from videofluoroscopic imaging', Med. Eng. Phys., 25, pp. 171-179
40. Zhou, S. H., McCarthy, I. D., McGregor, A. H., Coombs, R. R., and Hughes, S. P. (2000): 'Geometrical dimensions of the lower lumbar vertebrae - analysis of data from digitised CT images', Eur. Spine. J. 9, pp. 242-248