Modeling degenerative disk disease in the lumbar spine: A combined experimental, constitutive, and computational approach

Journal of Biomechanical Engineering

Volumn 134, Issue 10, 2012, Pages

  Ayturk, Ugur M ^a   Gadomski, Benjamin ^b   Schuldt, Dieter ^b   Patel, Vikas ^c   Puttlitz, Christian M ^b  

^a BOSTON CHILDREN S HOSPITAL   (United States)

^b Department of Mechanical Engineering   (United States)

^c UNIVERSITY OF COLORADO   (United States)

Author keywords

annulus fibrosus; biaxial tension; disk degeneration; finite element method

Indexed keywords

ANNULUS FIBROSUS; AXIAL ROTATION; BIAXIAL TENSIONS; BIOMECHANICAL BEHAVIOR; COLLAGEN FIBER; COMPUTATIONAL APPROACH; COMPUTATIONAL MODEL; DEGENERATIVE DISEASE; DEGENERATIVE DISK DISEASE; DISK DEGENERATION; FINITE ELEMENT MODELS; FUNCTIONAL SPINAL UNITS; INTERVERTEBRAL DISK; LUMBAR SPINES; MATERIAL COEFFICIENTS; MECHANICAL BEHAVIOR; MECHANICAL NONLINEARITIES; RANGE OF MOTIONS; ROTATIONAL LOADING; STRAIN ENERGY FUNCTIONS; STRESS GENERATION; TISSUE LEVELS;

ACRYLICS; BIOMECHANICS; CARTILAGE; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; OPTIMIZATION; TISSUE;

DISKS (MACHINE COMPONENTS);

COLLAGEN FIBER;

ADULT; AGED; ANNULUS FIBROSUS; ARTICLE; BIOMECHANICS; CADAVER; CONTROLLED STUDY; FEMALE; FINITE ELEMENT ANALYSIS; HUMAN; HUMAN TISSUE; INTERVERTEBRAL DISK DEGENERATION; LUMBAR DISK; MALE; MECHANICAL STRESS; NUCLEAR MAGNETIC RESONANCE IMAGING; NUCLEUS PULPOSUS; PREDICTIVE VALUE; ROTATION; BIOLOGICAL MODEL; LUMBAR VERTEBRA; MATERIALS TESTING; MECHANICS; MIDDLE AGED; PATHOLOGY; PATHOPHYSIOLOGY;

AGED; AGED, 80 AND OVER; BIOMECHANICS; FEMALE; FINITE ELEMENT ANALYSIS; HUMANS; INTERVERTEBRAL DISC DEGENERATION; LUMBAR VERTEBRAE; MALE; MATERIALS TESTING; MECHANICAL PROCESSES; MIDDLE AGED; MODELS, BIOLOGICAL; STRESS, MECHANICAL;

EID: 84867306400     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4007632     Document Type: Article

References (55)

1. Stokes, I. A. F., and Iatridis, J. C., 2005, Biomechanics of the Spine., Basic Orthopaedic Biomechanics and Mechano-Biology, V. C. Mow, and, R. Huiskes, eds., Lippincott Williams, Wilkins, Philadelphia, PA, pp. 196-197.
2. Guerin, H. A., and Elliott, D. M., 2006, Degeneration Affects the Fiber Reorientation of Human Annulus Fibrosus Under Tensile Load., J. Biomech., 39 (8), pp. 1410-1418. 10.1016/j.jbiomech.2005.04.007
3. Klisch, S. M., and Lotz, J. C., 1999, Application of a Fiber-Reinforced Continuum Theory to Multiple Deformations of the Annulus Fibrosus., J. Biomech., 32 (10), pp. 1027-1036. 10.1016/S0021-9290(99)00108-6
4. Shirazi-Adl, S. A., Shrivastava, S. C., and Ahmed, A. M., 1984, Stress Analysis of the Lumbar Disc-Body Unit in Compression. A Three-Dimensional Nonlinear Finite Element Study., Spine, 9, pp. 120-134. 10.1097/00007632- 198403000-00003
5. Dooris, A. P., Goel, V. K., Grosland, N. M., Gilbertson, L. G., and Wilder, D. G., 2001, Load Sharing Between Anterior and Posterior Elements in a Lumbar Motion Segment Implanted With an Artificial Disc., Spine, 26 (6), pp. E122-E129. 10.1097/00007632-200103150-00004
6. Zander, T., Rohlmann, A., Klckner, C., and Bergmann, G., 2001, Effect of Bone Graft Characteristics on the Mechanical Behavior of the Lumbar Spine., Clin. Biomech., 35, pp. S73-S80. 10.1016/S0268-0033(00)00108-X
7. Wagner, D. R., and Lotz, J. C., 2004, Theoretical Model and Experimental Results for the Nonlinear Elastic Behavior of Human Annulus Fibrosus., J. Orthop. Res., 22, pp. 901-909. 10.1016/j.orthres.2003.12.012
8. Guerin, H. L., and Elliott, D. M., 2007, Quantifying the Contributions of Structure to Annulus Fibrosus Mechanical Function Using a Nonlinear, Anisotropic, Hyperelastic Model., J. Orthop. Res., 25 (4), pp. 508-516. 10.1002/jor.20324
9. O'Connell, G. D., Guerin, H. L., and Elliott, D. M., 2009, Theoretical and Uniaxial Experimental Evaluation of Human Annulus Fibrosus Degeneration., J. Biomech. Eng., 131, p. 111007. 10.1115/1.3212104
10. Gregory, D. E., and Callaghan, J. P., 2011, A Comparison of Uniaxial and Biaxial Mechanical Properties of the Annulus Fibrosus: A Porcine Model., J. Biomech. Eng., 133, p. 024503. 10.1115/1.4003327
11. O'Connell, G. D., Sen, S., and Elliott, D. M., 2012, Human Annulus Fibrosus Material Properties From Biaxial Testing and Constitutive Modeling are Altered With Degeneration., Biomech. Model. Mechanobiol., 11, pp. 493-503. 10.1007/s10237-011-0328-9
12. Spencer, A. J. M., 1984, Continuum Theory of the Mechanics of Fibre-Reinforced Composites, Springer Verlag, New York, pp. 1-32.
13. Guerin, H. L., and Elliott, D. M., 2006, Structure and Properties of Soft Tissues in the Spine., SPINE Technology Handbook, S. M. Kurtz, and, A. A. Edidin, eds., Elsevier, London, pp. 35-62.
14. Eberlein, R., Holzapfel, G. A., and Schulze-Bauer, C. A. J., 2001, An Anisotropic Model for Annulus Tissue and Enhanced Finite Element Analyses of Intact Lumbar Disc Bodies., Comput. Methods Biomech. Biomed. Engin., 4, pp. 209-230. 10.1080/10255840108908005
15. Ayturk, U. M., Garcia, J. J., and Puttlitz, C. M., 2010, The Micromechanical Role of the Annulus Fibrosus Components Under Physiological Loading of the Lumbar Spine., J. Biomech. Eng., 132, p. 061007. 10.1115/1.4001032
16. Rohlmann, A., Zander, T., Schmidt, H., Wilke, H. J., 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, pp. 2484-2490. 10.1016/j.jbiomech.2005.07.026
17. Schmidt, H., Kettler, A., Rohlmann, A., Claes, L., and Wilke, H. J., 2007, The Risk of Disc Prolapses With Complex Loading in Different Degrees of Disc Degeneration-A Finite Element Analysis., Clin. Biomech., 22, pp. 988-998. 10.1016/j.clinbiomech.2007.07.008
18. Chagnon, A., Aubin, C. E., and Villemure, I., 2010, Biomechanical Influence of Disk Properties on the Load Transfer of Healthy and Degenerated Disks Using a Poroelastic Finite Element Model., J. Biomech. Eng., 132, p. 111006. 10.1115/1.4002550
19. Galbusera, F., Schmidt, H., Neidlinger-Wilke, C., Gottschalk, A., and Wilke, H. J., 2011, The Mechanical Response of the Lumbar Spine to Different Combinations of Disc Degenerative Changes Investigated Using Randomized Poroelastic Finite Element Models., Eur. Spine J., 20, pp. 563-571. 10.1007/s00586-010-1586-4
20. Hussain, M., Natarajan, R. N., An, H. S., and Andersson, G. B., 2010, Motion Changes in Adjacent Segments Due to Moderate and Severe Degeneration in C5-C6 Disc: A Poroelastic C3-T1 Finite Element Model Study., Spine, 35, pp. 939-947. 10.1097/BRS.0b013e3181bd419b
21. Schmidt, H., Heuer, F., and Wilke, H. J., 2009, Dependency of Disc Degeneration on Shear and Tensile Strains Between Annular Fiber Layers for Complex Loads., Med. Eng. Phys., 31, pp. 642-649. 10.1016/j.medengphy.2008.12. 004
22. Ruberté, L. M., Natarajan, R. N., and Andersson, G. B., 2009, Influence of Single-Level Lumbar Degenerative Disc Disease on the Behavior of the Adjacent Segments-A Finite Element Model Study., J. Biomech., 42, pp. 341-348. 10.1016/j.jbiomech.2008.11.024
23. Williams, J. R., Natarajan, R. N., and Andersson, G. B., 2007, Inclusion of Regional Poroelastic Material Properties Better Predicts Biomechanical Behavior of Lumbar Discs Subjected to Dynamic Loading., J. Biomech., 40, pp. 1981-1987. 10.1016/j.jbiomech.2006.09.022
24. Zander, T., Rohlmann, A., Burra, N. K., and Bergmann, G., 2006, Effect of a Posterior Dynamic Implant Adjacent to a Rigid Spinal Fixator., Clin. Biomech., 21, pp. 767-774. 10.1016/j.clinbiomech.2006.04.001
25. Holzapfel, G. A., and Ogden, R. W., 2009, On Planar Biaxial Tests for Anisotropic Nonlinearly Elastic Solids. A Continuum Mechanical Framework., Math. Mech. Solid., 14, pp. 474-489. 10.1177/1081286507084411
26. Sacks, M., and Chuong, C., 1993, Biaxial Mechanical Properties of Passive Right Ventricular Free Wall Myocardium., J. Biomech. Eng., 115, pp. 202-205. 10.1115/1.2894122
27. Sacks, M. S., and Sun, W., 2003, Multiaxial Mechanical Behavior of Biological Materials., Annu. Rev. Biomed. Eng., 5, pp. 251-284. 10.1146/annurev.bioeng.5.011303.120714
28. Bass, E. C., Ashford, F. A., Segal, M. R., and Lotz, J. C., 2004, Biaxial Testing of Human Annulus Fibrosus and its Implications for a Constitutive Formulation., Ann. Biomed. Eng., 32, pp. 1231-1242. 10.1114/B:ABME.0000039357. 70905.94
29. Johannessen, W., and Elliott, D. M., 2005, Effects of Degeneration on the Biphasic Material Properties of Human Nucleus Pulposus in Confined Compression., Spine, 30, pp. E724-E729. 10.1097/01.brs.0000192236.92867.15
30. Thompson, J. P., Pearce, R. H., Schechter, M. T., Adams, M. E., Tsang, I. K., and Bishop, P. B., 1990, Preliminary Evaluation of a Scheme for Grading the Gross Morphology of the Human Intervertebral Disc., Spine, 15, pp. 411-415. 10.1097/00007632-199005000-00012
31. Fujita, Y., Duncan, N. A., and Lotz, J. C., 1997, Radial Tensile Properties of the Lumbar Annulus Fibrosus are Site and Degeneration Dependent., J. Orthop. Res., 15 (6), pp. 814-819. 10.1002/jor.1100150605
32. Sun, W., Sacks, M. S., and Scott, M. J., 2005, Effects of Boundary Conditions on the Estimation of the Planar Biaxial Mechanical Properties of Soft Tissues., J. Biomech. Eng., 127, pp. 709-715. 10.1115/1.1933931
33. McGilvray, K. C., Sarkar, R., Nguyen, K., and Puttlitz, C. M., 2010, A Biomechanical Analysis of Venous Tissue in its Normal and Post-Phlebitic Conditions., J. Biomech., 43, pp. 2941-2947. 10.1016/j.jbiomech.2010.07.012
34. Holzapfel, G. A., 2000, Nonlinear Solid Mechanics: A Continuum Approach for Engineering, Wiley, West Sussex, UK.
35. Gasser, T. C., Ogden, R. W., and Holzapfel, G. A., 2006, Hyperelastic Modelling of Arterial Layers With Distributed Collagen Fibre Orientations., J. R. Soc., Interface., 3, pp. 15-35. 10.1098/rsif.2005.0073
36. Ueno, K., and Liu, Y. K., 1987, A Three Dimensional Nonlinear Finite Element Model of Lumbar Intervertebral Joint in Torsion., J. Biomech. Eng., 109 (3), pp. 200-209. 10.1115/1.3138670
37. Crawford, R. P., Rosenberg, W. S., and Keaveny, T. M., 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 (4), pp. 434-438. 10.1115/1.1589772
38. Whyne, C. M., Hu, S. S., and Lotz, J. C., 2001, Parametric Finite Element Analysis of Vertebral Bodies Affected by Tumors., J. Biomech., 34 (10), pp. 1317-1324. 10.1016/S0021-9290(01)00086-0
39. Noailly, J., Lacroix, D., and Planell, J. A., 2005, Finite Element Study of a Novel Intervertebral Disc Substitute., Spine, 30 (20), pp. 2257-2264. 10.1097/01.brs.0000182319.81795.72
40. Lu, Y. M., Hutton, W. C., and Gharpuray, V. M., 1996, Do Bending, Twisting, and Diurnal Fluid Changes in the Disc Affect the Propensity to Prolapse? A Viscoelastic Finite Element Model., Spine, 21 (22), pp. 2570-2579. 10.1097/00007632-199611150-00006
41. Bernick, S., and Cailliet, R., 1982, Vertebral Endplate Changes With Aging of Human Vertebrae., Spine, 7, pp. 97-102. 10.1097/00007632-198203000- 00002
42. Smith, L. J., Byers, S., Costi, J. J., and Fazzalari, N. L., 2008, Elastic Fibers Enhance the Mechanical Integrity of the Human Lumbar Anulus Fibrosus in the Radial Direction., Ann. Biomed. Eng., 36, pp. 214-223. 10.1007/s10439-007-9421-8
43. Acaroglu, E. R., Iatridis, J. C., Setton, L. A., Foster, R. J., Mow, V. C., and Weidenbaum, M., 1995, Degeneration and Aging Affect the Tensile Behavior of Human Lumbar Anulus Fibrosus., Spine., 20, pp. 2690-2701. 10.1097/00007632-199512150-00010
44. Marchand, F., and Ahmed, A. M., 1990, Investigation of the Laminate Structure of Lumbar Disc Anulus Fibrosus., Spine., 15, pp. 402-410. 10.1097/00007632-199005000-00011
45. Weiss, J. A., Maker, B. N., and Govindjee, S., 1996, Finite Element Implementation of Incompressible, Transversely Isotropic Hyperelasticity., Comput. Methods Appl. Mech. Eng., 135 (1), pp. 107-128. 10.1016/0045-7825(96) 01035-3
46. Krismer, M., Haid, C., Behensky, H., Kapfinger, P., Landauer, F., and Rachbauer, F., 2000, Motion in Lumbar Functional Spine Units During Side Bending and Axial Rotation Moments Depending on the Degree of Degeneration., Spine, 25, pp. 2020-2027. 10.1097/00007632-200008150-00004
47. Kettler, A., Rohlmann, F., Ring, C., Mack, C., and Wilke, H. J., 2011, Do Early Stages of Lumbar Intervertebral Disc Degeneration Really Cause Instability? Evaluation of an In Vitro Database., Eur. Spine J., 20, pp. 578-584. 10.1007/s00586-010-1635-z
48. Roughley, P. J., 2004, Biology of Intervertebral Disc Aging and Degeneration., Spine, 29, pp. 2691-2699. 10.1097/01.brs.0000146101.53784.b1
49. Bass, E. C., Duncan, N. A., Hariharan, J. S., Dusick, J., Bueff, H. U., and Lotz, J. C., 1997, Frozen Storage Affects the Compressive Creep Behavior of the Porcine Intervertebral Disc., Spine, 22, pp. 2867-2876. 10.1097/00007632- 199712150-00009
50. Hongo, M., Gay, R. E., Hsu, J. T., Zhao, K. D., Ilharreborde, B., Berglund, L. J., and An, K. N., 2008, Effect of Multiple Freeze-Thaw Cycles on Intervertebral Dynamic Motion Characteristics in the Porcine Lumbar Spine., J. Biomech., 41, pp. 916-920. 10.1016/j.jbiomech.2007.11.003
51. Galante, J. O., 1967, Tensile Properties of the Human Lumbar Annulus Fibrosus., Acta Orthop. Scand., 100 (suppl.), pp. 1-91.
52. Lotz, J. C., Hadi, T., Bratton, C., Reiser, K. M., and Hsieh, A. H., 2008, Anulus Fibrosus Tension Inhibits Degenerative Structural Changes in Lamellar Collagen., Eur. Spine J., 17, pp. 1149-1159. 10.1007/s00586-008-0721-y
53. Rodriguez, A. G., Slichter, C. K., Acosta, F. L., Rodriguez-Soto, A. E., Burghardt, A. J., Majumdar, S. and Lotz, J. C., 2011, Human Disc Nucleus Properties and Vertebral Endplate Permeability., Spine, 36, pp. 512-520. 10.1097/BRS.0b013e3181f72b94
54. Iatridis, J. C., Setton, L. A., Weidenbaum, M., and Mow, V. C., 1997, Alterations in the Mechanical Behavior of the Human Lumbar Nucleus Pulposus With Degeneration and Aging., J. Orthop. Res., 15, pp. 318-322. 10.1002/jor. 1100150224
55. Boxberger, J. I., Orlansky, A. S., Sen, S., and Elliott, D. M., 2009, Reduced Nucleus Pulposus Glycosaminoglycan Content Alters Intervertebral Disc Dynamic Viscoelastic Mechanics., J. Biomech., 42, pp. 1941-1946. 10.1016/j.jbiomech.2009.05.008