Poroelastic creep response analysis of a lumbar motion segment in compression

Journal of Biomechanics

Volumn 29, Issue 10, 1996, Pages 1331-1339

  Argoubi, M ^a   Shirazi Adl, A ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Creep; Disc; Finite element; Permeability; Poroelastic

Indexed keywords

CREEP; ELASTICITY; FINITE ELEMENT METHOD; JOINTS (ANATOMY); MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; POROSITY; THREE DIMENSIONAL;

BOUNDARY PORE PRESSURE; FACETECTOMY; LUMBAR MOTION SEGMENT; NUCLEOTOMY; NUCLEUS FLUID CONTENT; POROELASTIC CREEP RESPONSE ANALYSIS;

BIOMECHANICS;

ARTICLE; BIOMECHANICS; BODY HEIGHT; COMPRESSION; HUMAN; INTERVERTEBRAL DISK; LOW BACK PAIN; LUMBAR SPINE; PRIORITY JOURNAL;

EID: 0030270650     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/0021-9290(96)00035-8     Document Type: Article

References (59)

1. ABAQUS, Hibbit, Karlsonn, and Sorensen (1989) ABAQUS Theory and User's Manual, Version 4.8.
2. Adams, M. A. and Hutton, W. C. (1983) The effect of posture on the fluid content of lumbar intervertebral discs. Spine 8, 665-671.
3. Akizuki, S., Mow, V. C., Muller, F., Howell, D. S. and Manicourt, D. H. (1986) Tensile properties of human knee joint cartilage: I. Influence of ionic conditions, weight bearing, and fibrillation on the tensile modulus. J. Orthop. Res. 4, 379-392.
4. Andersson, G. B. J. (1981) Low-back pain in industry. Spine 6, 53-60.
5. Beaudoin, A. J., Mihalko, W. M. and Krause, W. R. (1991) Finite element modelling of polymethylmethacrylate flow through cancellous bone. J. Biomechanics 24, 127-136.
6. Best, B. A., Guilak, F., Setton, L. A. et al. (1994) Compressive mechanical properties of the human annulus fibrosus and their relationship to biochemical composition. Spine 19, 212-221.
7. Brinkmann, P. and Grootenboer, H. (1991) Change of disc height, radial disc bulge and intradiscal pressure from discectomy. An in vitro investigation on human lumbar discs. Spine 16, 641-646.
8. Burns, M. L., Kaleps, I. and Kazarian, L. E. (1984) Analysis of compressive creep behavior of the vertebral unit subjected to a uniform axial loading using exact parametric solution equations of kelvin-solid models; Part I. Human intervertebral joints. J. Biomechanics 17, 113-130.
9. Eklund, J. A. E. and Corlett, E. N. (1984) Shrinkage as a measure of the effect of load on the spine. Spine 9, 189-194.
10. Eklund, J. A. E., Corlett, E. N. and Johnson, F. (1983) A method for measuring the load imposed on the back of a sitting person. Ergonomics 26, 1063-1076.
11. Farfan, H. F. (1973) Mechanical Disorders of the Low Back. Lea & Febiger, Philadelphia.
12. Frymoyer, J. W., Pope, M. H., Clements, J. H., Wilder, D. G., Macpherson, B. and Ashikaga, T. (1983) Risk factors in low-back pain. An epidemiological survey. J. Bone Jt Surg. 65, 213-218.
13. Furlong, D. R. and Palazotto, A. M. (1983) A finite element analysis of the influence of surgical herniations on the viscoelastic properties of the intervertebral disc. J. Biomechanics 16, 785-795.
14. Goel, V. K., Nishiyama, K., Weinstein, J. N. and Liu, Y. K. (1986) Mechanical properties of lumbar spinal motion segments as affected by partial disc removal. Spine 11, 1008-1012.
15. Hirsch, C. and Schajowicz, F. (1953) Studies on structural changes in the lumbar annulus fibrosus. Acta Orthop. Scand. 22, 184-231.
16. Holmes, M. H. (1986) Finite deformation of soft tissue: analysis of a mixture model in uni-axial compression. J. Biomech. Engng 108, 372-381.
17. Jonck, L. M. (1961) The mechanical disturbances resulting from lumbar disc space narrowing. J. Bone Jt Surg. 43B, 362-375.
18. Kasra, M. (1991) Experimental and finite element dynamic analyses of a lumbar motion segment. Ph.D. thesis, Ecole Polytechnique, Montreal.
19. Kazarian, L. E. (1975) Creep characteristics of human spinal column. Orthop. Clin. North. Am. 6, 3-18.
20. Keller, T. S., Hansson, T. H., Holm, S. H., Pope, M. H. and Spengler, D. M. (1988) In vivo creep behavior of the normal and degenerated porcine intervertebral disc: a preliminary report. J. Spinal Disorders 1, 267-278.
21. Keller, T. S., Holm, S. H., Hansson, T. H. and Spengler, D. M. (1990) The dependence of the intervertebral disc mechanical properties on physiologic conditions. Spine 15, 751-761.
22. Keller, T. S., Spengler, D. M. and Hansson, T. H. (1987) Mechanical behavior of the human lumbar spine - 1. Creep analysis during static compressive loading. J. Orthop. Res. 5, 467-478.
23. Kelsey, J. L. (1975) An epidemiological study of acute herniated lumbar intervertebral discs. Rheum. Rehab. 14, 144-155.
24. Kelsey, J. L. and White, A., III (1980) Epidemiology and impact of low-back pain. Spine 5, 133-142.
25. Kempson, G. E., Muir, H., Pollard, C. and Tuke, M. (1973) The tensile properties of the cartilage of human femoral condyles related to the content of collagen and glycosaminoglycans. Biochim. Biophys. Acta 297, 456-472.
26. Koeller, W., Funke, F. and Hartmann, F. (1984) Biomechanical behavior of human intervertebral discs subjected to long lasting axial loading. Biorheology 21, 675-686.
27. Kramer, J. (1985) Dynamic characteristics of the vertebral column, effects of prolonged loading. Ergonomics 28, 95-97.
28. Kramer, J. (1990) Intervertebral Disk Diseases. Causes, Diagnosis, Treatment and Prophylaxis. Georg Thieme Verlag, Stuttgart.
29. Kramer, J., Kolditz, D. and Godwin, R. (1985) Water and electrolyte content of human intervertebral discs under variable load. Spine 10, 69-71.
30. Kwan, M. K., Lai, W. M. and Mow, V. C. (1990) A finite deformation theory for cartilage and other soft hydrated connective tissues - I. Equilibrium results. J. Biomechanics 23, 145-155.
31. Lai, W. M., Mow, V. C. and Roth, V. (1981) Effects of nonlinear strain-dependent permeability and rate of compression on the stress behavior of articular cartilage. J. Biomech. Engng 103, 61-66.
32. Laible, J. F., Pflaster, D. S., Krag, M. H., Simon, B. R. and Haugh, L. D. (1993) A poroelastic-swelling finite element model with application to the intervertebral disc. Spine 18, 659-670.
33. Lamer, A., Shirazi-Adl, A., Drouin, G. and McIntyre, G. (1987) Viscoelastic finite element stress analysis of a lumbar disc-body unit in compression. Trans. 33rd Ann. Meeting Orthop. Res. Soc., p. 430.
34. Lipson, S. J. and Muir, H. (1981) Proteoglycans in experimental intervertebral disc degeneration. Spine 6, 194-210.
35. Liu, Y. K. and Ray, G. (1978) Systems identification scheme for the estimation of the linear viscoelastic properties of the intervertebral disc. Aviat. Space Environ. Med. 49, 175-177.
36. McNally, D. S. and Adams, M. A. (1992) Internal intervertebral disc mechanics as revealed by stress profilometry. Spine 17, 66-73.
37. Mow, V. C., Kuei, S. C., Lai W. M. and Armstrong, C. G. (1980) Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J. Biomech. Engng 102, 73-84.
38. Ochoa, J. A. and Hillberry, B. M. (1992) Permeability of bovine cancellous bone. Trans. 38th Ann. Meeting Orthop. Res. Soc., p. 162.
39. Ogata, K. and Whiteside, L. A. (1981) Nutritional pathways of the intervertebral disc. Spine 6, 211-216.
40. Oshima, H., Tsuji, H., Hiarano, N., et al. (1989) Water diffusion pathway, swelling pressure, and biomechanical properties of the intervertebral disc during compression load. Spine 14, 1234-1244.
41. Praemer, A., Furner, S. and Rice, P. D. (1992) Musculoskeletal Conditions in the United States. American Academy of Orthopaedic Surgeons, Park Ridge, Illinois.
42. Ranu, H. S. (1989) The distribution of stresses in the human lumbar spine. In Material Properties and Stress Analysis in Biomechanics (Edited by Yettram, A. L.), pp. 240-249. Manchester University Press, Manchester.
43. Shirazi-Adl, A. (1990) Effect of annulus composite representation on the response of a human disc - a poroelastic analysis. In Advances in Bioengineering ASME (Edited by Goldstein, S. A.), pp. 257-260.
44. Shirazi-Adl, A. (1991) Mechanical role of disc annulus fibres and matrix in poroelastic creep response of a human lumbar disc. Trans. 37th Ann. Meeting Orthop. Res. Soc., p. 241.
45. Shirazi-Adl, A. (1992) Finite-element simulation of changes in the fluid content of human lumbar discs: mechanical and clinical implications. Spine 17, 206-212.
46. Shirazi-Adl, A., Ahmed, A. M. and Shrivastava, S. C. (1984) Stress analysis of the lumbar disc-body unit in compression, a three-dimensional nonlinear finite element study. Spine 9, 120-134.
47. Shirazi-Adl, A., Ahmed, A. M. and Shrivastava, S. C. (1986) A finite element study of a lumbar segment subjected to pure sagittal moments. J. Biomechanics 19, 331-350.
48. Shirazi-Adl, A. and Drouin, G. (1987) Load-bearing role of facets in a lumbar segment under sagittal plane loadings. J. Biomechanics 20, 601-613.
49. Shirazi-Adl, A. and Parnianpour, M. (1993) Nonlinear response analysis of the human ligamentous lumbar spine in compression: on mechanisms affecting the postural stability. Spine 18, 147-158.
50. Simon, B. R., Wu, J. S. S., Carlton, M. W., et al. (1985a) Structural models for human spinal motion segments based on a poroelastic view of the intervertebral disc. J. Biomech. Engng 107, 327-335.
51. Simon, B. R., Wu, J. S. S., Carlton, M. W., et al. (1985b) Poroelastic dynamic structural models of rhesus spinal motion segments. Spine 10, 494-507.
52. Styf, J. (1987) Pressure in the erector spinae muscle during exercise. Spine 12, 675-679.
53. Suh, J.-K., Spilker, R. L. and Holmes, M. H. (1991) A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation. Int. J. Numer. Methods Engng 32, 1411-1439.
54. Sullivan, A. and McGill, S. M. (1990) Changes in spine length during and after seated hole-body vibration. Spine 15, 1257-1260.
55. Takahashi, K., Miyazaki, T., Takino, T., Matsui, T. and Tomita, K. (1995) Epidural pressure measurements: relationship between epidural pressure and posture in patients with lumbar spinal stenosis. Spine 20, 650-663.
56. Tyrell, A. R., Reilly, T. and Troup, J. D. G. (1985) Circadian variation in stature and the effects of the spinal loading. Spine 10, 161-164.
57. Urban, J. and Maroudas, A. (1980) Measurement of swelling pressure and fluid flow in the intervertebral disc with reference to creep. Instn Mech. Engng 2, 63-69.
58. Vernon-Roberts, B. and Pirie, C. J. (1977) Degenerative changes in the intervertebral discs of the lumbar spine and their sequelae. Rheum. Rehab. 16, 13-21.
59. Wayne, J. S., Woo, S. L.-Y. and Kwan, M. K. (1991) Application of the u-p finite element method to the study of articular cartilage. J. Biomech. Engng 113, 397-403.