Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2012 (2012), Article ID 484759, 8 pages
http://dx.doi.org/10.1155/2012/484759
Research Article

General Computational Model for Human Musculoskeletal System of Spine

1Department of Mathematics, Kyonggi University, Suwon 443-760, Republic of Korea
2Department of Mechanical Engineering, Kyung Hee University, Yongin 446-701, Republic of Korea
3e-Spine Center, Kyung Hee University, Yongin 446-701, Republic of Korea
4Department of Computer Science, Yonsei University, Seoul 120-749, Republic of Korea

Received 30 September 2011; Accepted 14 November 2011

Academic Editor: Chang-Hwan Im

Copyright © 2012 Kyungsoo Kim 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. A. Nachemson, “Lumbar intradiscal pressure,” in The Lumbar Spine and Back Pain, M. I. V. Jayson, Ed., chapter 9, pp. 191–203, 1987. View at Google Scholar
  2. A. Schultz, “Loads on the lumbar spine,” in The Lumbar Spine and Back Pain, M. I. V. Jayson, Ed., chapter 10, pp. 205–214, 1987. View at Google Scholar
  3. J. J. Crisco, M. M. Panjabi, I. Yamamoto, and T. R. Oxland, “Euler stability of the human ligamentous lumbar spine. Part II: experiment,” Clinical Biomechanics, vol. 7, no. 1, pp. 27–32, 1992. View at Publisher · View at Google Scholar · View at Scopus
  4. A. G. Patwardhan, R. M. Havey, K. P. Meade, B. Lee, and B. Dunlap, “A follower load increases the load-carrying capacity of the lumbar spine in compression,” Spine, vol. 24, no. 10, pp. 1003–1009, 1999. View at Publisher · View at Google Scholar · View at Scopus
  5. J. J. Crisco and M. M. Panjabi, “The intersegmental and multisegmental muscles of the lumbar spine: a biomechanical model comparing lateral stabilizing potential,” Spine, vol. 16, no. 7, pp. 793–799, 1991. View at Publisher · View at Google Scholar · View at Scopus
  6. H. J. Wilke, S. Wolf, L. E. Claes, M. Arand, A. Wiesend, and T. Bendix, “Stability increase of the lumbar spine with different muscle groups: a biomechanical in vitro study,” Spine, vol. 20, no. 2, pp. 192–198, 1995. View at Publisher · View at Google Scholar · View at Scopus
  7. H. J. Wilke, A. Rohlmann, S. Neller, F. Graichen, L. Claes, and G. Bergmannt, “A Novel approach to determine trunk muscle forces during flexion and extension: a comparison of data from an in vitro Experiment and in vivo measurements,” Spine, vol. 28, no. 23, pp. 2585–2593, 2003. View at Publisher · View at Google Scholar · View at Scopus
  8. A. G. Patwardhan, R. M. Havey, A. J. Ghanayem et al., “Load-carrying capacity of the human cervical spine in compression is increased under a follower load,” Spine, vol. 25, no. 12, pp. 1548–1554, 2000. View at Publisher · View at Google Scholar · View at Scopus
  9. M. Beck, “Die Knicklast des einseitig eingespannten, tangential gedrückten Stabes,” Zeitschrift für Angewandte Mathematik und Physik, vol. 3, no. 6, pp. 476–477, 1952. View at Publisher · View at Google Scholar · View at Scopus
  10. G. Herrmann, “Stability of equilibrium of elastic systems subjected to nonconservative forces,” Applied Mechanics Reviews, vol. 20, pp. 103–108, 1967. View at Google Scholar
  11. I. A. Stokes and M. Gardner-Morse, “Lumbar spine maximum efforts and muscle recruitment patterns predicted by a model with multijoint muscles and joints with stiffness,” Journal of Biomechanics, vol. 28, no. 2, pp. 173–186, 1995. View at Publisher · View at Google Scholar
  12. I. A. F. Stokes and M. Gardner-Morse, “Lumbar spinal muscle activation synergies predicted by multi-criteria cost function,” Journal of Biomechanics, vol. 34, no. 6, pp. 733–740, 2001. View at Publisher · View at Google Scholar · View at Scopus
  13. A. G. Patwardhan, K. P. Meade, and B. Lee, “A frontal plane model of the lumbar spine subjected to a follower load: implications for the role of muscles,” Journal of Biomechanical Engineering, vol. 123, no. 3, pp. 212–217, 2001. View at Publisher · View at Google Scholar · View at Scopus
  14. A. Shirazi-Adl and M. Parnianpour, “Load-bearing and stress analysis of the human spine under a novel wrapping compression loading,” Clinical Biomechanics, vol. 15, no. 10, pp. 718–725, 2000. View at Publisher · View at Google Scholar · View at Scopus
  15. N. Arjmand and A. Shirazi-Adl, “Model and in vivo studies on human trunk load partitioning and stability in isometric forward flexions,” Journal of Biomechanics, vol. 39, no. 3, pp. 510–521, 2006. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. H. Kim and K. Kim, “Numerical analysis on quantitative role of trunk muscles in spinal stabilization,” JSME International Journal Series C, vol. 47, no. 4, pp. 1062–1069, 2004. View at Publisher · View at Google Scholar · View at Scopus
  17. Y. H. Kim and K. Kim, “Computational modeling of spine and trunk muscles subjected to follower force,” Journal of Mechanical Science and Technology, vol. 21, no. 4, pp. 568–574, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. K. Kim, Y. H. Kim, and S. K. Lee, “Increase of load-carrying capacity under follower load generated by trunk muscles in lumbar spine,” Journal of Engineering in Medicine, vol. 221, no. 3, pp. 229–235, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. K. Kim and Y. H. Kim, “Role of trunk muscles in generating follower load in the lumbar spine of neutral standing posture,” Journal of Biomechanical Engineering, vol. 130, no. 4, Article ID 041005, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. K. Kim, Y. H. Kim, and S. Lee, “Shear force allowance in lumbar spine under follower load in neutral standing posture,” Acta of Bioengineering and Biomechanics, vol. 12, no. 4, pp. 47–51, 2010. View at Google Scholar
  21. K. Kim, Y. H. Kim, and S. Lee, “Investigation of optimal follower load path generated by trunk muscle coordination,” Journal of Biomechanics, vol. 44, no. 8, pp. 1614–1617, 2011. View at Publisher · View at Google Scholar
  22. I. A. F. Stokes and M. Gardner-Morse, “Quantitative anatomy of the lumbar musculature,” Journal of Biomechanics, vol. 32, no. 3, pp. 311–316, 1999. View at Publisher · View at Google Scholar · View at Scopus
  23. M. M. Panjabi, R. A. Brand, and A. A. White, “Three dimensional flexibility and stiffness properties of the human thoracic spine,” Journal of Biomechanics, vol. 9, no. 4, pp. 185–192, 1976. View at Publisher · View at Google Scholar · View at Scopus
  24. M. G. Gardner-Morse, J. P. Laible, and I. A. F. Stokes, “Incorporation of spinal flexibility measurements into finite element analysis,” Journal of Biomechanical Engineering, vol. 112, no. 4, pp. 481–483, 1990. View at Publisher · View at Google Scholar · View at Scopus
  25. A. A. White III and M. M. Panjabi, Clinical Biomechanics of the Spine, Lippincott Williams & Wilkins, Philadelphia, Pa, USA, 1990.
  26. A. B. Schultz, “Biomechanical analyses of loads on the lumbar spine,” in The Lumbar Spine, pp. 160–171, W. B. Saunders, Philadelphia, Pa, USA, 1990. View at Google Scholar
  27. H. J. Wilke, P. Neef, M. Caimi, T. Hoogland, and L. E. Claes, “New in vivo measurements of pressures in the intervertebral disc in daily life,” Spine, vol. 24, no. 8, pp. 755–762, 1999. View at Publisher · View at Google Scholar · View at Scopus