- About this Journal
- Abstracting and Indexing
- Aims and Scope
- Annual Issues
- Article Processing Charges
- Articles in Press
- Author Guidelines
- Bibliographic Information
- Citations to this Journal
- Contact Information
- Editorial Board
- Editorial Workflow
- Free eTOC Alerts
- Publication Ethics
- Reviewers Acknowledgment
- Submit a Manuscript
- Subscription Information
- Table of Contents
BioMed Research International
Volume 2013 (2013), Article ID 705185, 18 pages
Development and Kinematic Verification of a Finite Element Model for the Lumbar Spine: Application to Disc Degeneration
1Department of Mechanical Engineering, University of Zaragoza, 50018 Zaragoza, Spain
2Department of Surgery, University of Zaragoza, 50009 Zaragoza, Spain
3Department of Orthopaedic Surgery and Traumatology, Miguel Servet University Hospital, 50009 Zaragoza, Spain
4Aragón Health Sciences Institute, 50009 Zaragoza, Spain
5Engineering and Architecture School, University of Zaragoza, María de Luna 3, 50018 Zaragoza, Spain
Received 7 August 2012; Accepted 30 October 2012
Academic Editor: José M. Vilar
Copyright © 2013 Elena Ibarz 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.
- L. Manchikanti, V. Singh, S. Datta, S. P. Cohen, and J. A. Hirsch, “Comprehensive review of epidemiology, scope, and impact of spinal pain,” Pain Physician, vol. 12, no. 4, pp. E35–E70, 2009.
- L. E. Griffith, R. P. Wells, H. S. Shannon, S. D. Walter, D. C. Cole, and S. Hogg-Johnson, “Developing common metrics of mechanical exposures across aetiological studies of low back pain in working populations for use in meta-analysis,” Occupational and Environmental Medicine, vol. 65, no. 7, pp. 467–481, 2008.
- J. C. Iatridis, J. J. MacLean, P. J. Roughley, and M. Alini, “Effects of mechanical loading on intervertebral disc metabolism in vivo,” Journal of Bone and Joint Surgery, vol. 88, no. 2, pp. 41–46, 2006.
- K. C. Wong, R. Y. Lee, and S. S. Yeung, “The association between back pain and trunk posture of workers in a special school for the severe handicaps,” BMC Musculoskeletal Disorders, vol. 10, article no. 43, 2009.
- M. C. Battié, T. Videman, and E. Parent, “Lumbar disc degeneration: epidemiology and genetic influences,” Spine, vol. 29, no. 23, pp. 2679–2690, 2004.
- M. C. Battié and T. Videman, “Lumbar disc degeneration: epidemiology and genetics,” Journal of Bone and Joint Surgery A, vol. 88, no. 2, pp. 3–9, 2006.
- M. J. Yaszemski, A. A. White III, and M. M. Panjabi, “Biomechanics of spine,” in Orthopaedic Knowledge Update: Spine 2, D. F. Fardon and S. R. Garfin, Eds., pp. 17–26, AAOS, Rosemont, Ill, USA, 2002.
- M. M. Panjabi, K. Takata, and V. K. Goel, “Kinematics of lumbar intervertebral foramen,” Spine, vol. 8, no. 4, pp. 348–357, 1983.
- I. Yamamoto, M. M. Panjabi, T. Crisco, and T. Oxland, “Three-dimensional movements of the whole lumbar spine and lumbosacral joint,” Spine, vol. 14, no. 11, pp. 1256–1260, 1989.
- M. M. Panjabi, T. R. Oxland, I. Yamamoto, and J. J. Crisco, “Mechanical behavior of the human lumbar and lumbosacral spine as shown by three-dimensional load-displacement curves,” Journal of Bone and Joint Surgery A, vol. 76, no. 3, pp. 413–424, 1994.
- R. C. Hilton, J. Ball, and R. T. Benn, “In-vitro mobility of the lumbar spine,” Annals of the Rheumatic Diseases, vol. 38, no. 4, pp. 378–383, 1979.
- M. J. Pearcy and S. B. Tibrewal, “Axial rotation and lateral bending in the normal lumbar spine measured by three-dimensional radiography,” Spine, vol. 9, no. 6, pp. 582–587, 1984.
- M. A. Hayes, T. C. Howard, C. R. Gruel, and J. A. Kopta, “Roentgenographic evaluation of lumbar spine flexion-extension in asymptomatic individuals,” Spine, vol. 14, no. 3, pp. 327–331, 1989.
- J. M. Fritz, S. R. Piva, and J. D. Childs, “Accuracy of the clinical examination to predict radiographic instability of the lumbar spine,” European Spine Journal, vol. 14, no. 8, pp. 743–750, 2005.
- T. Steffen, R. K. Rubin, H. G. Baramki, J. Antoniou, D. Marchesi, and M. Aebi, “A new technique for measuring lumbar segmental motion in vivo: method, accuracy, and preliminary results,” Spine, vol. 22, no. 2, pp. 156–166, 1997.
- M. J. Pearcy, J. M. Gill, M. W. Whittle, and G. R. Johnson, “Dynamic back movement measured using a three-dimensional television system,” Journal of Biomechanics, vol. 20, no. 10, pp. 943–949, 1987.
- R. S. Ochia, N. Inoue, S. M. Renner et al., “Three-dimensional in vivo measurement of lumbar spine segmental motion,” Spine, vol. 31, no. 18, pp. 2073–2078, 2006.
- K. W. N. Wong, J. C. Y. Leong, M. K. Chan, K. D. K. Luk, and W. W. Lu, “The flexion-extension profile of lumbar spine in 100 healthy volunteers,” Spine, vol. 29, no. 15, pp. 1636–1641, 2004.
- K. W. N. Wong, K. D. K. Luk, J. C. Y. Leong, S. F. Wong, and K. K. Y. Wong, “Continuous dynamic spinal motion analysis,” Spine, vol. 31, no. 4, pp. 414–419, 2006.
- S. W. Lee, K. W. Wong, M. K. Chan, H. M. Yeung, J. L. Chiu, and J. C. Leong, “Development and validation of a new technique for assessing lumbar spine motion,” Spine, vol. 27, no. 8, pp. E215–E220, 2002.
- V. M. Haughton, B. Rogers, M. E. Meyerand, and D. K. Resnick, “Measuring the axial rotation of lumbar vertebrae in vivo with MR imaging,” American Journal of Neuroradiology, vol. 23, no. 7, pp. 1110–1116, 2002.
- K. Kulig, C. M. Powers, R. F. Landel et al., “Segmental lumbar mobility in individuals with low back pain: In vivo assessment during manual and self-imposed motion using dynamic MRI,” BMC Musculoskeletal Disorders, vol. 8, article no. 8, 2007.
- G. Li, S. Wang, P. Passias, Q. Xia, G. Li, and K. Wood, “Segmental in vivo vertebral motion during functional human lumbar spine activities,” European Spine Journal, vol. 18, no. 7, pp. 1013–1021, 2009.
- F. B. M. Ensink, P. M. M. Saur, K. Frese, D. Seeger, and J. Hildebrandt, “Lumbar range of motion: Influence of time of day and individual factors on measurements,” Spine, vol. 21, no. 11, pp. 1339–1343, 1996.
- G. K. Fitzgerald, K. J. Wynveen, W. Rheault, and B. Rothschild, “Objective assessment with establishment of normal values for lumbar spinal range of motion,” Physical Therapy, vol. 63, no. 11, pp. 1776–1781, 1983.
- L. H. Riley, J. C. Eck, H. Yoshida, Y. D. Koh, J. W. You, and T. H. Lim, “A biomechanical comparison of calf versus cadaver lumbar spine models,” Spine, vol. 29, no. 11, pp. E217–E220, 2004.
- A. Kettler, L. Liakos, B. Haegele, and H. J. Wilke, “Are the spines of calf, pig and sheep suitable models for pre-clinical implant tests?” European Spine Journal, vol. 16, no. 12, pp. 2186–2192, 2007.
- M. J. Turner, R. W. Clough, H. C. Martin, and L. J. Topp, “Stiffness and deflection analysis of complex structures,” Journal of the Aeronautical Sciences, vol. 23, no. 9, pp. 805–823, 1956.
- O. C. Zienkiewicz and Y. K. Cheung, Finite Element Method in Structural & Continuum Mechanics, McGraw-Hill, London, UK, 1967.
- G. Denozière and D. N. Ku, “Biomechanical comparison between fusion of two vertebrae and implantation of an artificial intervertebral disc,” Journal of Biomechanics, vol. 39, no. 4, pp. 766–775, 2006.
- A. Rohlmann, T. Zander, and G. Bergmann, “Comparison of the biomechanical effects of posterior and anterior spine-stabilizing implants,” European Spine Journal, vol. 14, no. 5, pp. 445–453, 2005.
- A. Rohlmann, N. K. Burra, T. Zander, and G. Bergmann, “Comparison of the effects of bilateral posterior dynamic and rigid fixation devices on the loads in the lumbar spine: a finite element analysis,” European Spine Journal, vol. 16, no. 8, pp. 1223–1231, 2007.
- T. Zander, A. Rohlmann, N. K. Burra, and G. Bergmann, “Effect of a posterior dynamic implant adjacent to a rigid spinal fixator,” Clinical Biomechanics, vol. 21, no. 8, pp. 767–774, 2006.
- A. Fantigrossi, F. Galbusera, M. T. Raimondi, M. Sassi, and M. Fornari, “Biomechanical analysis of cages for posterior lumbar interbody fusion,” Medical Engineering and Physics, vol. 29, no. 1, pp. 101–109, 2007.
- A. Rohlmann, T. Zander, H. Schmidt, H. J. Wilke, and G. Bergmann, “Analysis of the influence of disc degeneration on the mechanical behaviour of a lumbar motion segment using the finite element method,” Journal of Biomechanics, vol. 39, no. 13, pp. 2484–2490, 2006.
- A. Glema, T. Lodygowski, W. Kakol, M. Ogurkowska, and M. Wierszycki, “Modeling of intervertebral discs in the numerical analysis of spinal segment,” in Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS '04), July 2004.
- J. Noailly, D. Lacroix, and J. A. Planell, “The mechanical significance of the lumbar spine components—a finite element stress analysis,” in Proceedings of the Summer Bioengineering Conference, June 2003.
- T. Pitzen, F. Geisler, D. Matthis et al., “A finite element model for predicting the biomechanical behaviour of the human lumbar spine,” Control Engineering Practice, vol. 10, no. 1, pp. 83–90, 2002.
- A. Boccaccio, P. Vena, D. Gastaldi, G. Franzoso, R. Pietrabissa, and C. Pappalettere, “Finite element analysis of cancellous bone failure in the vertebral body of healthy and osteoporotic subjects,” Proceedings of the Institution of Mechanical Engineers H, vol. 222, no. 7, pp. 1023–1036, 2008.
- A. Polikeit, L. P. Nolte, and S. J. Ferguson, “Simulated influence of osteoporosis and disc degeneration on the load transfer in a lumbar functional spinal unit,” Journal of Biomechanics, vol. 37, no. 7, pp. 1061–1069, 2004.
- A. Fujiwara, T. H. Lim, H. S. An et al., “The effect of disc degeneration and facet joint osteoarthritis on the segmental flexibility of the lumbar spine,” Spine, vol. 25, no. 23, pp. 3036–3044, 2000.
- R. E. Thompson, M. J. Pearcy, and T. M. Barker, “The mechanical effects of intervertebral disc lesions,” Clinical Biomechanics, vol. 19, no. 5, pp. 448–455, 2004.
- J. P. G. Urban and S. Roberts, “Degeneration of the intervertebral disc,” Arthritis Research and Therapy, vol. 5, no. 3, pp. 120–130, 2003.
- H. S. An and K. Masuda, “Relevance of in vitro and in vivo models for intervertebral disc degeneration,” Journal of Bone and Joint Surgery A, vol. 88, no. 2, pp. 88–94, 2006.
- R. N. Natarajan, J. R. Williams, and G. B. J. Andersson, “Recent advances in analytical modeling of lumbar disc degeneration,” Spine, vol. 29, no. 23, pp. 2733–2741, 2004.
- H. Schmidt, A. Kettler, A. Rohlmann, L. Claes, and H. J. Wilke, “The risk of disc prolapses with complex loading in different degrees of disc degeneration—a finite element analysis,” Clinical Biomechanics, vol. 22, no. 9, pp. 988–998, 2007.
- J. P. Little, C. J. Adam, J. H. Evans, G. J. Pettet, and M. J. Pearcy, “Nonlinear finite element analysis of anular lesions in the L4/5 intervertebral disc,” Journal of Biomechanics, vol. 40, no. 12, pp. 2744–2751, 2007.
- L. M. Ruberté, R. N. Natarajan, and G. B. Andersson, “Influence of single-level lumbar degenerative disc disease on the behavior of the adjacent segments—a finite element model study,” Journal of Biomechanics, vol. 42, no. 3, pp. 341–348, 2009.
- R. N. Natarajan, J. R. Williams, and G. B. J. Andersson, “Modeling changes in intervertebral disc mechanics with degeneration,” Journal of Bone and Joint Surgery A, vol. 88, no. 2, pp. 36–40, 2006.
- A. A. White and M. M. Panjabi, Clinical Biomechanics of the Spine, Lippincott, Philadelphia, Pa, USA, 1990.
- SIEMENS, http://www.plm.automation.siemens.com/.
- I. A. Kapandji, The Physiology of the Joints, Churchill Livingstone, New York, NY, USA, 2008.
- Dassault Systèmes, http://www.3ds.com/.
- A. Rohlmann, L. Bauer, T. Zander, G. Bergmann, and H. J. Wilke, “Determination of trunk muscle forces for flexion and extension by using a validated finite element model of the lumbar spine and measured in vivo data,” Journal of Biomechanics, vol. 39, no. 6, pp. 981–989, 2006.
- N. Arjmand, D. Gagnon, A. Plamondon, A. Shirazi-Adl, and C. Larivière, “Comparison of trunk muscle forces and spinal loads estimated by two biomechanical models,” Clinical Biomechanics, vol. 24, no. 7, pp. 533–541, 2009.
- E. Ibarz, Finite element simulation of the biomechanical behaviour of the lumbar spine. Application to the study of degenerative pathologies and the evaluation of fixation systems [Ph.D. thesis], University of Zaragoza, Department of Mechanical Engineering, 2010.
- T. Mosnier, Contribution à l’analyse biomécanique et à l’évaluation des implants rachidiens [Ph.D. thesis], ENSAM, Paris, France, 2008.
- N. A. Langrana, S. P. Kale, W. T. Edwards, C. K. Lee, and K. J. Kopacz, “Measurement and analyses of the effects of adjacent end plate curvatures on vertebral stresses,” Spine Journal, vol. 6, no. 3, pp. 267–278, 2006.
- K. Kulig, C. M. Powers, R. F. Landel et al., “Segmental lumbar mobility in individuals with low back pain: in vivo assessment during manual and self-imposed motion using dynamic MRI,” BMC Musculoskeletal Disorders, vol. 8, article no. 8, 2007.
- L. J. Smith and N. L. Fazzalari, “The elastic fibre network of the human lumbar anulus fibrosus: architecture, mechanical function and potential role in the progression of intervertebral disc degeneration,” European Spine Journal, vol. 18, no. 4, pp. 439–448, 2009.
- P. Vena, G. Franzoso, D. Gastaldi, R. Contro, and V. Dallolio, “A finite element model of the L4-L5 spinal motion segment: biomechanical compatibility of an interspinous device,” Computer Methods in Biomechanics and Biomedical Engineering, vol. 8, no. 1, pp. 7–16, 2005.
- T. H. Lim, J. G. Kim, A. Fujiwara et al., “Biomechanical evaluation of diagonal fixation in pedicle screw instrumentation,” Spine, vol. 26, no. 22, pp. 2498–2503, 2001.
- A. P. Dooris, V. K. Goel, N. M. Grosland, L. G. Gilbertson, and D. G. Wilder, “Load-sharing between anterior and posterior elements in a lumbar motion segment implanted with an artificial disc,” Spine, vol. 26, no. 6, pp. E122–E129, 2001.
- J. L. Wang, M. Parnianpour, A. Shirazi-Adl, and A. E. Engin, “Viscoelastic finite-element analysis of a lumbar motion segment in combined compression and sagittal flexion: effect of loading rate,” Spine, vol. 25, no. 3, pp. 310–318, 2000.
- F. Ezquerro, A. Simón, M. Prado, and A. Pérez, “Combination of finite element modeling and optimization for the study of lumbar spine biomechanics considering the 3D thorax-pelvis orientation,” Medical Engineering and Physics, vol. 26, no. 1, pp. 11–22, 2004.
- N. Miyakoshi, E. Abe, Y. Shimada, K. Okuyama, T. Suzuki, and K. Sato, “Outcome of one-level posterior lumbar interbody Fusion for spondylolisthesis and postoperative intervertebral disc degeneration adjacent to the fusion,” Spine, vol. 25, no. 14, pp. 1837–1842, 2000.
- G. Ghiselli, J. C. Wang, N. N. Bhatia, W. K. Hsu, and E. G. Dawson, “Adjacent segment degeneration in the lumbar spine,” Journal of Bone and Joint Surgery A, vol. 86, no. 7, pp. 1497–1503, 2004.
- T. L. Schulte, F. Leistra, V. Bullmann et al., “Disc height reduction in adjacent segments and clinical outcome 10 years after lumbar 360° fusion,” European Spine Journal, vol. 16, no. 12, pp. 2152–2158, 2007.
- M. S. Sullivan, C. E. Dickinson, and J. D. G. Troup, “The influence of age and gender on lumbar spine sagittal plane range of motion: a study of 1126 healthy subjects,” Spine, vol. 19, no. 6, pp. 682–686, 1994.
- E. Ulucam and B. S. Cigali, “Measurement of normal lumbar spine range of motion in the college-aged Turkish population using a 3D ultrasound-based motion analysis system,” Trakya Universitesi Tip Fakultesi Dergisi, vol. 26, no. 1, pp. 29–35, 2009.
- J. H. Abbott, B. McCane, P. Herbison, G. Moginie, C. Chapple, and T. Hogarty, “Lumbar segmental instability: a criterion-related validity study of manual therapy assessment,” BMC Musculoskeletal Disorders, vol. 6, article no. 56, 2005.
- J. H. Abbott, J. M. Fritz, B. McCane et al., “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 Musculoskeletal Disorders, vol. 7, article no. 45, 2006.