Journal of Mechanical Science and Technology

, Volume 21, Issue 8, pp 1178–1183 | Cite as

Simulation of the disc degeneration with a poroelastic finite element model

  • Daegon Woo
  • Young Eun Kim
  • Sootaek Kim
  • Hansung Kim
Materials and Design Engineering


To predict the degeneration process in the intervertebral disc, a finite element model of the spinal motion segment model was developed. The relationship between the biomechanical characteristics of fluid and solid matrix of the disc and cancellous core of the vertebral body, modeled as 20 node poroelastic elements, during the degeneration process was investigated. Excess von Mises stress in the disc element was assumed to be a possible source of degeneration under compressive loading condition. Recursive calculation was continued until the desired convergence was attained by changing the permeability and void ratio of those elements. The degenerated disc model showed that relatively small compressive stresses were generated in the nucleus elements compared to normal disc. Its distribution along the sagittal plane was consistent with a previously reported experimental result. Contrasts to this result, pore pressures in the nucleus were higher than those in the normal disc. Total stress, sum of compressive stress and pore pressure, indicated similar values for two different models. This study presented a new approach to study the likely mechanism responsible for the initiation and progression of the degenerative process within the intervertebral disc.


Disc Degeneration FE model Poroelastic element Void ratio 


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  1. Adams, M. A., Dolan, P. and Hutton, W. C., 1987, “Diurnal Variations in the Stresses on the Lumbar Spine,“Spine, Vol. 12, pp. 130–137.CrossRefGoogle Scholar
  2. Brown, M. D., Holmes, D. C. and Heiner, A. D. 2002, “Measurement of Cadaver Lumbar Spine Motion Segment Stiffness,“Spine, Vol. 27, pp. 918–922.CrossRefGoogle Scholar
  3. Ghosh, P. and SC, B., 1988, “The Biology of the Intervertebral Disc,“CRC Press, USA, pp. 99–105.Google Scholar
  4. Gu, W. Y., Mao, X. G., Foster, R. J., Weidenbaum, M. and Mow, V. C., Rawlins, B. A., 1999, “The Anisotropic Hydraulic Permeability of Human Lumbar Annulus Fibrosus,“Spine, Vol. 24, pp. 2449–2455.CrossRefGoogle Scholar
  5. James, C. I., Lori, A. S., Robert, J. F., Bernard, A. R., Mark, W. and Van, C. M., 1998, “Degeneration Affects the Anisotropic and Nonlinear Behaviors of Human Annulus Fibrosus in Compression,“J. Biomech., Vol. 31, pp. 535–544.CrossRefGoogle Scholar
  6. Keller, T. S., Hansson, T. H., Abram, A. C., Spengler, D. M. and Panjabi, M. M., 1989, “Regional Variation in the Compressive Properties of Lumbar Vertebral Trabeculae-Effect of Disc Degeneration,”Spine, Vol. 14, pp. 1012–1019.CrossRefGoogle Scholar
  7. Kim, K. W., Lim, T. H., Kim, J. G., Jeong, S. T., Masuda, K. and An, H. S., 2003, “The Origin of Chondrocytes in the Nucleus Pulposus and Histologic Findings Associated with the Transition of a Notochordal Nucleus Pulposus to a Fibrocartilaginous Nucleus Pulposus in Intact Rabbit Intervertebral Discs,“Spine, Vol. 28, pp. 982–990.CrossRefGoogle Scholar
  8. Kim, Y. E., Goel, V. K., Weinstein, J. N. and Lim, T., 1991, “Effect of Disc Degeneration at One Level on the Adjacent Level in Axial Mode,“Spine, Vol. 16, pp. 331–335.CrossRefGoogle Scholar
  9. Kraemer, J. D., Kolditz, M. and Gowin, R., 1985, “Water and Electrolyte Content of Fluman Intervertebral Discs Under Variable Load,“Spine, Vol. 10, pp. 69–71.CrossRefGoogle Scholar
  10. Kuslich, S. D., Ulstrom, C. L. and Michael, C. J., 1991, “The Tissue Origin of Low Back Pain and Sciatica,“Orthop. Clin. N. Am., Vol. 22, pp. 181–187.Google Scholar
  11. Lee, C. K., Kim, Y E., Lee, C. S., Hong, Y M., Jung, J. M. and Goel, V. K., 2000, “Impact Response of the Intervertebral Disc in a Finite-element Model,”Spine, Vol. 25, pp. 2431–2439.CrossRefGoogle Scholar
  12. Li, L. P., Soulhat, J., Buschmann, M. D. and Shirazi-Adl, A., 1999, “Nonlinear Analysis of Cartilage in Unconfmed Ramp Compression Using a Fibril Reinforced Poroelastic Model,“Clin. Biomech., Vol. 14, pp. 673–682.CrossRefGoogle Scholar
  13. Lotz, J. C. and Chin, J. R., 2000, “Intervertebral Disc Cell Death is Independent on the Magnitude and Duration of Spinal Loading,“Spine, Vol. 25, pp. 1477–1483.CrossRefGoogle Scholar
  14. Lotz, J. C., Colliou, O. K., Chin, J. R., Ducan, N. A. and Liebenberg, E., 1998, “Compression-induced Degeneration of the Intervertebral Disc ; An in Vivo Mouse Model and Finite Element Study,“Spine, Vol. 23, pp. 2493–2506.CrossRefGoogle Scholar
  15. Natarajan, R. N., Ke, J. H. and Andersson, G. B. J., 1994, “A Model to Study the Disc Degeneration Process,“Spine, Vol. 19, pp. 259–265.CrossRefGoogle Scholar
  16. Natarajan, R. N., Williams, J. R. and Andersson, G. B. J., 2004, “Recent Advances in Analytical Modeling of Lumbar Disc Degeneration,“Spine, Vol. 29, pp. 2733–2741.CrossRefGoogle Scholar
  17. Pollintine, P., Przybyla, A. S, Dolan, P. and Adams, M. A., 2004, “Neural Arch Load-bearing in Old and Degenerated Spines,“J. of Biomech., Vol. 37, pp. 197–204.CrossRefGoogle Scholar
  18. Ralph, E. Gay, R. E., Ilharreborde, B., Zhao, K., Zhao, C. and An, K. N, 2006, “Sagittal Plane Motion in the Human Lumbar Spine: Comparison of the in Vitro Quasistatic Neutral Zone and Dynamic Motion Parameters,“Clin. Biomech., Vol. 21, pp. 914–949.CrossRefGoogle Scholar

Copyright information

© The Korean Society of Mechanical Engineers (KSME) 2007

Authors and Affiliations

  • Daegon Woo
    • 1
  • Young Eun Kim
    • 2
  • Sootaek Kim
    • 3
  • Hansung Kim
    • 4
  1. 1.Graduate SchoolYonsei University WonjuKorea
  2. 2.Dept. of Mechanical EngineeringDankook UniversitySeoulKorea
  3. 3.Graduate SchoolDankook UniversitySeoulKorea
  4. 4.Dept. of Biomedical EngineeringYonsei UniversityWonjuKorea

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