1,561
Views
112
CrossRef citations to date
0
Altmetric
Original Articles

Parametric convergence sensitivity and validation of a finite element model of the human lumbar spine

&
Pages 695-705 | Received 11 Dec 2009, Accepted 05 Apr 2010, Published online: 11 Jan 2011

References

  • Adams , MA , McNally , DS and Dolan , P . 1996 . “Stress” distributions inside intervertebral discs . J Bone Joint Surg , 78 : 965 – 972 .
  • Anderson , AE , Ellis , BJ and Weiss , JA . 2007 . Verification, validation and sensitivity studies in computational biomechanics . Comput Meth. Biomech Biomed Eng , 10 : 171 – 184 .
  • Ayturk UM. 2007. Development and validation of a three dimensional high resolution nonlinear finite element model of an L3/L4 functional spinal unit [Master's thesis]. [Fort Collins (CO)]: Colorado State University
  • Ayturk UM, Garcia JJ, Puttlitz CM. 2010. The micromechanical role of the annulus fibrosus components under physiologic loading of the lumbar spine. J Biomech Eng. 132:061007
  • Bogduk , N . 1999 . Clinical anatomy of the lumbar spine and sacrum , London : Churchill Livingston .
  • Crawford , RP , Rosenberg , WS and Keaveny , TM . 2003 . 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 , 125 : 434 – 438 .
  • Dooris , AP , Goel , VK , Grosland , NM , Gilbertson , LG and Wilder , DG . 2001 . Load sharing between anterior and posterior elements in a lumbar motion segment implanted with an artificial disc . Spine , 26 : E122 – E129 .
  • Eberlein , R , Holzapfel , GA and Frohlich , M . 2004 . Multi-segment FEA of the human lumbar spine including the heterogeneity of the annulus fibrosus . Comput Mech , 34 : 147 – 163 .
  • Eberlein , R , Holzapfel , GA and Schulze-Bauer , CAJ . 2001 . An anisotropic model for annulus tissue and enhanced finite element analyses of intact lumbar disc bodies . Comput Methods Biomech Biomed Eng , 4 : 209 – 230 .
  • Elliott , DM and Setton , LA . 2001 . Anisotropic and inhomogeneous tensile behavior of the human anulus fibrosus: experimental measurement and material model predictions . J Biomech Eng , 123 : 256 – 263 .
  • Frei , H , Oxland , TR , Rathonyi , GC and Nolte , LP . 2001 . The effect of nucleotomy on lumbar spine mechanics in compression and shear loading . Spine , 26 : 2080 – 2089 .
  • Fujita , Y , Duncan , NA and Lotz , JC . 1997 . Radial tensile properties of the lumbar annulus fibrosus are site and degeneration dependent . J Orthop Res , 15 : 814 – 819 .
  • Goel , VK , Monroe , BT , Gilbertson , LG and Brinckmann , P . 1995 . Interlaminar shear stresses and laminae separation in a disc. Finite element analysis of the L3-L4 motion segment subjected to axial compressive loads . Spine , 20 : 689 – 698 .
  • Guan , Y , Yoganandan , N , Moore , J , Pintar , FA , Zhang , J , Maiman , DJ and Laud , P . 2007 . Moment-rotation responses of the human lumbosacral spinal column . J Biomech , 40 : 1975 – 1980 .
  • Heuer , F , Schmidt , H , Claes , L and Wilke , HJ . 2007 . Stepwise reduction of functional spinal structures increase vertebral translation and intradiscal pressure . J Biomech , 40 : 795 – 803 .
  • Heuer , F , Schmidt , H , Klezl , Z , Claes , L and Wilke , HJ . 2007 . Stepwise reduction of functional spinal structures increase range of motion and change lordosis angle . J Biomech , 40 : 271 – 280 .
  • Jones , AC and Wilcox , RK . 2008 . Finite element analysis of the spine: towards a framework of verification, validation and sensitivity analysis . Med Eng Phys , 30 : 1287 – 1304 .
  • Klisch , SM and Lotz , JC . 1999 . Application of a fiber-reinforced continuum theory to multiple deformations of the annulus fibrosus . J Biomech , 32 : 1027 – 1036 .
  • Liebschner , MA , Kopperdahl , DL , Rosenberg , WS and Keaveny , TM . 2003 . Finite element modeling of the human thoracolumbar spine . Spine , 28 : 559 – 565 .
  • Lu , YM , Hutton , WC and Gharpuray , VM . 1995 . Can variations in intervertebral disc height affect the mechanical function of the disc? . Spine , 21 : 2208 – 2216 .
  • Marks , LW and Gardner , TN . 1993 . The use of strain energy as a convergence criterion in the finite element modelling of bone and the effect of model geometry on stress convergence . J Biomed Eng , 15 : 474 – 476 .
  • Mimura , M , Panjabi , MM , Oxland , TR , Crisco , JJ , Yamamoto , I and Vasavada , A . 1994 . Disc degeneration affects the multidirectional flexibility of the lumbar spine . Spine , 19 : 1371 – 1380 .
  • Morris , A . 2008 . A practical guide to reliable finite element modeling , West Sussex (England) : Wiley . Chapter 4, What's energy got to do with it? p. 79–112
  • Natarajan , RN , Williams , JR and Andersson , GB . 2006 . Modeling changes in intervertebral disc mechanics with degeneration . J Bone Joint Surg , : 36 – 40 .
  • Niosi , CA , Wilson , DC , Zhu , Q , Keynan , O , Wilson , DR and Oxland , TR . 2008 . The effect of dynamic posterior stabilization on facet joint contact forces: an in vitro investigation . Spine , 33 : 19 – 26 .
  • Noailly , J , Lacroix , D and Planell , JA . 2005 . Finite element study of a novel intervertebral disc substitute . Spine , 30 : 2257 – 2264 .
  • Nolte , LP , Panjabi , MM and Oxland , TR . 1990 . Clinical implant materials , Heidelberg (Germany) : Elsevier . Biomechanical properties of lumbar spinal ligaments; p. 663–668
  • Panjabi , M , Yamamoto , I , Oxland , T and Crisco , J . 1988 . How does posture affect coupling in the lumbar spine? . Spine , 14 : 1002 – 1011 .
  • Panjabi , MM , Oxland , TR , Yamamoto , I and Crisco , JJ . 1994 . Mechanical behavior of the human lumbar and lumbosacral spine as shown by three-dimensional load-displacement curves . J Bone Joint Surg , 76 : 413 – 424 .
  • Panjabi , MM and White , AA . 1990 . Clinical biomechanics of the spine , Philadelphia (PA) : Lippincott Williams & Wilkins .
  • Rohlmann , A , Zander , T , Rao , M and Bergmann , G . 2009 . Realistic loading conditions for upper body bending . J Biomech , 42 : 884 – 890 .
  • Rohlmann , A , Zander , T , Schmidt , H , Wilke , HJ and Bergmann , G . 2006 . Analysis of the influence of disc degeneration on the mechanical behaviour of a lumbar motion segment using the finite element method . J Biomech , 39 : 2484 – 2490 .
  • Sawa , AG and Crawford , NR . 2008 . The use of surface strain data and a neural networks solution method to determine lumbar facet joint loads during in vitro spine testing . J Biomech , 41 : 2647 – 2653 .
  • Schmidt , H , Heuer , F , Simon , U , Kettler , A , Rohlmann , A , Claes , L and Wilke , HJ . 2006 . Application of a new calibration method for a three-dimensional finite element model of a human lumbar annulus fibrosus . Clin Biomech , 21 : 337 – 344 .
  • Serhan , HA , Varnavas , G , Dooris , AP , Patwadhan , A and Tzermiadianos , M . 2007 . Biomechanics of the posterior lumbar articulating elements . Neurosurg Focus , 22 : E1 – E6 .
  • Shirazi-Adl , SA , Shrivastava , SC and Ahmed , AM . 1984 . Stress analysis of the lumbar disc-body unit in compression. A three-dimensional nonlinear finite element study . Spine , 9 : 120 – 134 .
  • Spencer , AJM . 1984 . Continuum theory of the mechanics of fibre-reinforced composites , 1 – 32 . New York : Springer Verlag . Chapter 1, Constitutive theory for strongly anisotropic solids
  • Ueno , K and Liu , YK . 1987 . A three dimensional nonlinear finite element model of lumbar intervertebral joint in torsion . J Biomech Eng , 109 : 200 – 209 .
  • Villaraga , ML , Anderson , RC , Hart , RT and Dinh , DH . 1999 . Contact analysis of a posterior cervical spine plate using a three-dimensional canine finite element model . J Biomech Eng , 121 : 206 – 214 .
  • Wagner , DR and Lotz , JC . 2004 . Theoretical model and experimental results for the nonlinear elastic behavior of human annulus fibrosus . J Orthop Res , 22 : 901 – 909 .
  • Whyne , CM , Hu , SS and Lotz , JC . 2001 . Parametric finite element analysis of vertebral bodies affected by tumors . J Biomech , 34 : 1317 – 1324 .
  • Wilke , HJ , Neef , P , Caimi , M , Hoogland , T and Claes , LE . 1999 . New in vivo measurements of pressures in the intervertebral disc in daily life . Spine , 24 : 755 – 762 .
  • Williams , JR , Natarajan , RN and Andersson , GBJ . 2007 . Inclusion of regional poroelastic material properties better predicts biomechanical behavior of lumbar discs subjected to dynamic loading . J Biomech , 40 : 1981 – 1987 .
  • Wilson , DC , Niosi , CA , Zhu , QA , Oxland , TR and Wilson , DR . 2006 . Accuracy and repeatability of a new method for measuring facet loads in the lumbar spine . J Biomech , 39 : 348 – 353 .
  • Womack , W , Woldtvedt , D and Puttlitz , CM . 2008 . Lower cervical spine facet cartilage thickness mapping . Osteoarthr Cartil , 16 : 1018 – 1023 .
  • Zander , T , Rohlmann , A , Calisse , J and Bergmann , G . 2001 . Estimation of muscle forces in the lumbar spine during upper-body inclination . Clin Biomech , 16 ( Suppl. 1 ) : S73 – S80 .
  • Zienkiewicz , OC and Taylor , RL . 2000 . The finite element method volume 1 the basis , Woburn (MA) : Butterworth-Heinemann . Chapter 15, Adaptive finite element refinement; p. 401–426

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.