Medical Engineering & Physics
Volume 30, Issue 10 , Pages 1287-1304 , December 2008

Finite element analysis of the spine: Towards a framework of verification, validation and sensitivity analysis

Received 11 April 2008 ,Revised 24 September 2008 ,Accepted 25 September 2008.

References 

  1. ASME Committee on Verification and Validation in Computational Solid Mechanics. Guide for verification and validation in computational solid mechanics. American Society of Mechanical Engineers; 2006.
  2. American Institute of Areonautics and Astronautics. Guide for the verification and validation of computational fluid dynamics simulations (G-077-1998); 1998.
  3. Anderson AE, Ellis BJ, Weiss JA. Verification, validation and sensitivity studies in computational biomechanics. Comput Methods Biomech Biomed Eng. 2007;10(3):171–184
  4. Viceconti MOS, Burton K, Olsen S, Nolte LP. Extracting clinically relevant data from finite element simulations. Clin Biomech. 2005;20:451–454
  5. Fagan MJ, Julian S, Mohsen AM. Finite element analysis in spine research. Proc Inst Mech Eng [H]. 2002;216(5):281–298
  6. Templeton A, Liebschner M. A hierarchical approach to finite element modeling of the human spine. Crit Rev Eukaryotic Gene Expr. 2004;14(4):317–328
  7. Natarajan RN, Williams JR, Andersson GBJ. Recent advances in analytical modeling of lumbar disc degeneration. Spine. 2004;29(23):2733–2741
  8. Mosekilde L. Vertebral structure and strength in vivo and in vitro. Calcif Tissue Int. 1993;53(1):S121–S126
  9. Homminga J, Weinans H, Gowin W, Felsenberg D, Huiskes R. Osteoporosis changes the amount of vertebral trabecular bone at risk of fracture but nor the vertebral load distribution. Spine. 2001;26(14):1555–1561
  10. Overaker DW, Langrana NA, Cuitino AM. Finite element analysis of vertebral body mechanics with a nonlinear microstructural model for the trabecular core. J Biomech Eng. 1999;121(5):542–550
  11. Faulkner KG, Cann CE, Hasegawa BH. Effect of bone distribution on vertebral strength: assessment with patient-specific nonlinear finite element analysis. Radiology. 1991;179:669–674
  12. Buckley JM, Loo K, Motherway J. Comparison of quantitative computed tomography-based measures in predicting vertebral compressive strength. Bone. 2007;40(3):767–774
  13. Liebschner MAK, Rosenberg WS, Keaveny TM. Effects of bone cement volume and distribution on vertebral stiffness after vertebroplasty. Spine. 2001;26(14):1547–1554
  14. Sun K, Liebschner MAK. Evolution of vertebroplasty: a biomechanical perspective. Ann Biomed Eng. 2004;32(1):77–91
  15. Wijayathunga VN, Jones AC, Oakland RJ, Furtado NR, Hall RM, Wilcox RK. Development of specimen-specific finite element models of human vertebrae for the analysis of vertebroplasty. Proc Inst Mech Eng [H]. 2008;222(2):221–228
  16. Higgins KB, Sindall DR, Cuitino AM, Langrana NA. Biomechanical alterations in intact osteoporotic spine due to synthetic augmentation: finite element investigation. J Biomech Eng. 2007;129(4):575–585
  17. Whyne CM, Hu SS, Lotz JC. Burst fracture in the metastatically involved spine: development, validation, and parametric analysis of a three-dimensional poroelastic finite-element model. Spine. 2003;28(7):652–660
  18. Tschirhart CE, Nagpurkar A, Whyne CM. Effects of tumor location, shape and surface serration on burst fracture risk in the metastatic spine. J Biomech. 2004;37(5):653–660
  19. Wilcox RK. The influence of material property and morphological parameters on specimen-specific finite element models of porcine vertebral bodies. J Biomech. 2007;40(3):669–673
  20. Eswaran SK, Gupta A, Keaveny TM. Locations of bone tissue at high risk of initial failure during compressive loading of the human vertebral body. Bone. 2007;41:733–739
  21. Buckley JM, Leang DC, Keaveny TM. Sensitivity of vertebral compressive strength to endplate loading distribution. J Biomech Eng. 2006;128:641–646
  22. Crawford RP, Cann CE, Keaveny TM. Finite element models predict in vitro vertebral body compressive strength better than quantitative computed tomography. Bone. 2003;33(4):744–750
  23. Crawford RP, Rosenberg WS, Keaveny TM. Quantitative computed tomography-based finite element models of the human lumbar vertebral body: effect of element size on stiffness, damage, and fracture strength predictions. J Biomech Eng. 2003;125:434–438
  24. Jones AC, Wilcox RK. Assessment of factors influencing finite element vertebral predictions. J Biomech Eng. 2007;129:898–903
  25. Yeni YN, Christopherson GT, Dong XN, Kim D-G, Fyhrie DP. Effect of microcomputed tomography voxel size on the finite element model accuracy for human cancellous bone. J Biomech Eng. 2005;127:1–8
  26. Liebschner MAK, Kopperdahl DL, Rosenberg WS, Keaveny TM. Finite element modeling of the human thoracolumbar spine. Spine. 2003;28(6):559–565
  27. Meakin JR, Reid JE, Hukins DW. Replacing the nucleus pulposus of the intervertebral disc. Clin Biomech. 2001;16(7):560–565
  28. Rawlinson JJ, Punga KP, Gunsallus KL, Bartel DL, Wright TM. Wear simulation of the ProDisc-L disc replacement using adaptive finite element analysis. J Neurosurg Spine. 2007;7(2):165–173
  29. Simon BR, Wu JS, Carlton MW, Evans JH, Kazarian LE. Structural models for human spinal motion segments based on a poroelastic view of the intervertebral disk. J Biomech Eng. 1985;107(4):327–335
  30. Schroeder Y, Wilson W, Huyghe JM, Baaijens FPT. Osmoviscoelastic finite element model of the intervertebral disc. Eur Spine J. 2006;15(Suppl. 3):S361–S371
  31. Ferguson SJ, Ito K, Nolte LP. Fluid flow and convective transport of solutes within the intervertebral disc. J Biomech. 2004;37(2):213–221
  32. Espino DM, Meakin JR, Hukins DWL, Reid JE. Stochastic finite element analysis of biological systems: comparison of a simple intervertebral disc model with experimental results. Comput Methods Biomech Biomed Eng. 2003;6(4):243–248
  33. Argoubi M, Shirazi-Adl A. Poroelastic creep response analysis of a lumbar motion segment in compression. J Biomech. 1996;29(10):1331–1339
  34. Schmidt H, Heuer F, Simon U, Kettler A, Rohlmann A, Claes L, et al. Application of a new calibration method for a three-dimensional finite element model of a human lumbar annulus fibrosus. Clin Biomech. 2006;21(4):337–344
  35. Lu YM, Hutton WC, Gharpuray VM. Can variations in intervertebral disc height affect the mechanical function of the disc?. Spine. 1996;21(19):2208–2216(discussion 2217)
  36. Natarajan RN, Andersson GB. The influence of lumbar disc height and cross-sectional area on the mechanical response of the disc to physiologic loading. Spine. 1999;24(18):1873–1881
  37. Fagan MJ, Julian S, Siddall DJ, Mohsen AM. Patient-specific spine models. Part 1: finite element analysis of the lumbar intervertebral disc—a material sensitivity study. Proc Inst Mech Eng [H]. 2002;216(5):299–314
  38. Baer AE, Laursen TA, Guilak F, Setton LA. The micromechanical environment of intervertebral disc cells determined by a finite deformation, anisotropic, and biphasic finite element model. J Biomech Eng. 2003;125(1):1–11
  39. Yin L, Elliott DM. A homogenization model of the annulus fibrosus. J Biomech. 2005;38(8):1674–1684
  40. Selard E, Shirazi-Adl A, Urban JPG. Finite element study of nutrient diffusion in the human intervertebral disc. Spine. 2003;28(17):1945–1953
  41. Yao H, Gu WY. Three-dimensional inhomogeneous triphasic finite-element analysis of physical signals and solute transport in human intervertebral disc under axial compression. J Biomech. 2007;40(9):2071–2077
  42. Williams JR, Natarajan RN, Andersson GBJ. Inclusion of regional poroelastic material properties better predicts biomechanical behavior of lumbar discs subjected to dynamic loading. J Biomech. 2007;40(9):1981–1987
  43. Sylvestre P-L, Villemure I, Aubin C-E. Finite element modeling of the growth plate in a detailed spine model. Med Biol Eng Comput. 2007;45(10):977–988
  44. Shirazi-Adl SA, Shrivastava SC, Ahmed AM. Stress analysis of the lumbar disc-body unit in compression. A three-dimensional nonlinear finite element study. Spine. 1984;9(2):120–134
  45. Goel VK, Grauer JN, Patel TC, Biyani A, Sairyo K, Vishnubhotla S, et al. Effects of charite artificial disc on the implanted and adjacent spinal segments mechanics using a hybrid testing protocol. Spine. 2005;30(24):2755–2764
  46. Rohlmann A, Burra NK, Zander T, Bergmann G. Comparison of the effects of bilateral posterior dynamic and rigid fixation devices on the loads in the lumbar spine: a finite element analysis. Eur Spine J. 2007;16(8):1223–1231
  47. Kim Y. Finite element analysis of anterior lumbar interbody fusion. Threaded cylindrical cage and pedicle screw fixation. Spine. 2007;32(23):2558–2568
  48. Schmidt H, Heuer F, Drumm J, Klezl Z, Claes L, Wilke H-J. Application of a calibration method provides more realistic results for a finite element model of a lumbar spinal segment. Clin Biomech. 2007;22:377–384
  49. Bellini CM, Galbusera F, Raimondi MT, Mineo GV, Brayda-Bruno M. Biomechanics of the lumbar spine after dynamic stabilization. J Spinal Disord Tech. 2007;20(6):423–429
  50. Fantigrossi A, Galbusera F, Raimondi MT, Sassi M, Fornari M. Biomechanical analysis of cages for posterior lumbar interbody fusion. Med Eng Phys. 2007;29(1):101–109
  51. Tschirhart CE, Finkelstein JA, Whyne CM. Optimization of tumor volume reduction and cement augmentation in percutaneous vertebroplasty for prophylactic treatment of spinal metastases. J Spinal Disord Tech. 2006;19(8):584–590
  52. Wilcox RK. The biomechanical effect of vertebroplasty on the adjacent vertebral body: a finite element study. Proc Inst Mech Eng [H]. 2006;220(4):565–572
  53. Hato T, Kawahara N, Tomita K, Murakami H, Akamaru T, Tawara D, et al. Finite-element analysis on closing-opening correction osteotomy for angular kyphosis of osteoporotic vertebral fractures. J Orthop Sci. 2007;12(4):354–360
  54. Teo EC, Ng HW. Evaluation of the role of ligaments, facets and disc nucleus in lower cervical spine under compression and sagittal moments using finite element method. Med Eng Phys. 2001;23(3):155–164
  55. Lee KK, Teo EC. Material sensitivity study on lumbar motion segment (L2–L3) under sagittal plane loadings using probabilistic method. J Spinal Disord Tech. 2005;18(2):163–170
  56. Yoganandan N, Kumaresan S, Voo L, Pintar FA. Finite element model of the human lower cervical spine: parametric analysis of the C4–C6 unit. J Biomech Eng. 1997;119(1):87–92
  57. Brolin K, Halldin P. Development of a finite element model of the upper cervical spine and a parameter study of ligament characteristics. Spine. 2004;29(4):376–385
  58. Noailly J, Wilke H-J, Planell JA, Lacroix D. How does the geometry affect the internal biomechanics of a lumbar spine bi-segment finite element model? Consequences on the validation process. J Biomech. 2007;40(11):2414–2425
  59. Holzapfel GA, Stadler M. Role of facet curvature for accurate vertebral facet load analysis. Eur Spine J. 2006;15(6):849–856
  60. Maurel N, Lavaste F, Skalli W. A three-dimensional parameterized finite element model of the lower cervical spine. Study of the influence of the posterior articular facets. J Biomech. 1997;30(9):921–931
  61. Kumaresan S, Yoganandan N, Pintar FA, Maiman DJ. Finite element modeling of the cervical spine: role of intervertebral disc under axial and eccentric loads. Med Eng Phys. 1999;21(10):689–700
  62. Zander T, Rohlmann A, Calisse J, Bergmann G. Estimation of muscle forces in the lumbar spine during upper-body inclination. Clin Biomech. 2001;16(Suppl. 1):S73–80
  63. Pitzen T, Geisler FH, Matthis D, Muller-Storz H, Pedersen K, Steudel WI. The influence of cancellous bone density on load sharing in human lumbar spine: a comparison between an intact and a surgically altered motion segment. Eur Spine J. 2001;10(1):23–29
  64. Guan Y, Yoganandan N, Zhang J, Pintar FA, Cusick JF, Wolfla CE, et al. Validation of a clinical finite element model of the human lumbosacral spine. Med Biol Eng Comput. 2006;44(8):633–641
  65. Wilcox RK, Allen DJ, Hall RM, Limb D, Barton DC, Dickson RA. A dynamic investigation of the burst fracture process using a combined experimental and finite element approach. Eur Spine J. 2004;13(6):481–488
  66. Schileo E, Taddei F, Malandrino A, Cristofolini L, Viceconti M. Subject-specific finite element models can accurately predict strain levels in long bones. J Biomech. 2007;40(13):2982–2989
  67. Homminga J, Huiskes R, Van Rietbergen B, Ruegsegger P, Weinans H. Introduction and evaluation of a gray-value voxel conversion technique. J Biomech. 2001;34(4):513–517
  68. Kopperdahl DL, Morgan EF, Keaveny TM. Quantitative computed tomography estimates of the mechanical properties of human vertebral trabecular bone. J Orthop Res. 2002;20(4):801–805
  69. Structural consequences of damage on the mechanical behaviour of the human vertebral body.
  70. Lafage V, Gangnet N, Senegas J, Lavaste F, Skalli W. New interspinous implant evaluation using an in vitro biomechanical study combined with a finite-element analysis. Spine. 2007;32(16):1706–1713
  71. Lavaste F, Skalli W, Robin S, Roy-Camille R, Mazel C. Three-dimensional geometrical and mechanical modelling of the lumbar spine. J Biomech. 1992;25(10):1153–1164
  72. Ivanov AA, Faizan A, Ebraheim NA, Yeasting R, Goel VK. The effect of removing the lateral part of the pars interarticularis on stress distribution at the neural arch in lumbar foraminal microdecompression at L3–L4 and L4–L5: anatomic and finite element investigations. Spine. 2007;32(22):2462–2466
  73. de Visser H, Adam CJ, Crozier S, Pearcy MJ. The role of quadratus lumborum asymmetry in the occurrence of lesions in the lumbar vertebrae of cricket fast bowlers. Med Eng Phys. 2007;29:877–885

PII: S1350-4533(08)00163-X

doi: 10.1016/j.medengphy.2008.09.006

Medical Engineering & Physics
Volume 30, Issue 10 , Pages 1287-1304 , December 2008