Please use this identifier to cite or link to this item:
A Biomechanical Study of Spinal Motion Segment Based on a Three-Dimensional Nonlinear Poroelastic Finite Element Method
|關鍵字:||Spinal motion segment|
Poroelastic finite element
|引用:|| Schwarzer, A.C., Aprill, C.N., Derby, R., Fortin, J., Kine, G.., Bogduk, N., “The prevalence and clinical features of internal disc disruption in patients with chronic low back pain,” Spine, 1995, vol. 20, pp. 1878-1883.  Simon, S.R., Kinesiology,. In: Simon, S.R., ed., “Orthopaedic basic science,” Am. Acad. Orthop. Surg., 1994, pp. 519-622.  Diwan, A.D., Parvataneni, H.K., Khan, S.N., Sandhu, H.S., Girardi, F.P., Cammisa, F.P.Jr., “Current concepts in intervertebral disc restoration,” Orthop. Clin. North. Am., 2000, vol. 31, no. 3, pp. 453-464.  Buckwalter, J.A., “Aging and degeneration of the human intervertebral disc,” Spine, 1995, vol. 20, no. 11, pp. 1307-1314.  Ghosh, P., Biology of the intervertebral disc, Boca Raton, FL, CRC Press, 1988.  Virgin, W. J., “Experimental investigations into the physical properties of the intervertebral disc,” J. Bone Jt. Surg., Br., 1951, vol. 33 B, no. 4, pp. 607-611.  Markolf, K. L. And Morris, J.M., “The structural components of the intervertebral disc: a study of their contributions to the ability of the disc to withstand compressive forces,” J. Bone Jt. Surg., Am., 1974, vol. 56-A, no. 4, pp. 675-687.  Brown, T., Hansen, R.J., Yorra, A.J., “Some mechanical tests on the lumbosacral spine with particular reference to the intervertebral discs: a preliminary report,” J. Bone Jt. Surg., Am., 1957, vol. 39-A, no. 5, pp. 1135-1164.  Hirsch, C., “The reaction of intervertebral discs to compression forces,” J. Bone Jt. Surg., Am., 1955, vol. 37, pp. 1188-1196.  Lim, T.H., Goel, V.K., Weinstein, J.N., Kong, W., “Stress analysis of a canine spinal motion segment using the finite element technique,” J. Biomech., 1994, vol. 27, pp. 1259-1269.  Kumaresan, S., Yoganandan, N., Pintar, F.A., Maiman, D.J., “Finite element modeling of the cervical spine: role of intervertebral disc under axial and eccentric loads,” Med. Eng. Phys., 1999, vol. 21, pp. 689-700.  Chosa, E., Totoribe, K., Tajima, N., “A biomechanical study of lumbar spondylolysis based on a three-dimensional finite element method,” J. Orthop. Res., 2004, vol. 22, pp. 158-163.  Li, H., Wang, Z., “Intervertebral disc biomechanical analysis using the finite element modeling based on medical images,” Comput. Med. Imaging Graph., 2006, vol. 30, pp. 363-370.  Matyjewski, M., Steffen, T., Kropf, P., “Modeling of the intervertebral disc with composite, swelling, poro-elastic materials,” Oral Presentation Pre-ORS Meeting on Computational Medicine , San Francisco CA, Feb 8, 1997,  Nachemson, A.L., “Disc pressure measurements,” Spine, 1981, vol. 6, no. 1, pp. 93-97.  Simon, B.R., Wu, J.S.S., Carlton, M.W., et al., “Poroelastic dynamic structural models of rhesus spinal motion segments,” Spine, 1985, vol. 10, no. 6, pp. 494-507.  Simon, B.R., Wu, J.S.S., Carlton, M.W., et al., “Structural models for human spinal motion segments based on poroelastic view of the intervertebral disc,” J. Biomech. Eng., 1985, vol. 107, pp. 327-335.  Wu, J.S.S., Huang, J.C., Lee C.M., Simon, B.R., “Derivation of the physical parameters of spinal motion segment based on porous medium theory,” J. Biomed. Engng. Soc. Roc., 1986, vol. 6, no. 1, pp. 55-66.  Wu, J.S.S., Huang, J.C., Lee, C.M., Simon, B.R., “Dynamic analysis of axi-symmetric finite element models of spinal motion segments under anti-symmetric loads by a mixed procedure,” J. Biomed. Engng. Soc. Roc., 1986, vol. 6, no. 3, pp. 157-181.  Wu, J.S.S., “Dynamic analysis of poroelastic finite element models of rhesus spinal motion segments by the mixed procedure,” Proc. Natl. Sci. Counc. Roc., 1988, vol. 12, no. 6, pp. 385-399.  Wu, J.S.S., “Simulation of the structural model of spinal motion segments using fully mixed procedure,” J. Biomed. Engng. Soc. Roc., 1989, vol. 8, no. 2, pp. 77-94.  Pflaster, D.S., Krag, M.H., Johnson, C.C., et al., “Effect of test environment on intervertebral disc hydration,” Spine, 1997, vol. 22, pp. 133-139.  Iatridis, J.C., Setton, L.A., Foster, R.J., et al., “Degeneration affects the anisotropic and nonlinear behaviors of human annulus fibrosus in compression,” J. Biomech., 1998, vol. 31, pp. 535-544.  Sato, K., Kikuchi, S., Yonezawa, T., “In vivo intradiscal pressure measurement in healthy individuals and in patients with ongoing back problems,” Spine, 1999, vol. 24, pp. 2468-2474.  Kumaresan, S., Yoganandan, N., Pintar, F.A., Maiman, D.J., Goel, V.K., “Contribution of disc degeneration to osteophyte formation in the cervical spine: a biomechanical investigation,” J. Orthop. Res., 2001, vol. 19, pp. 977-984.  Wigfield, C.C., Skrzypiec, D., Jackowski, A., et al., “Internal stress distribution in cervical intervertebral discs: the influence of an artificial cervical joint and simulated anterior interbody fusion,” J. Spinal Disord. Tech., 2003, vol. 16, pp. 441-449.  Pollintine, P., Dolan, P., Tobias, J.H., et al., “Intervertebral disc degeneration can lead to "stress-shielding" of the anterior vertebral body: a cause of osteoporotic vertebral fracture?” Spine, 2004, vol. 29, pp. 774-782.  Ebara, S., Iatridis, J.C., Setton, L.A., et al., “Tensile properties of non-degenerate human lumbar annulus fibrosus,” Spine, 1996, vol. 21, no. 4, pp. 452-461.  Yao, J., Turteltaub, S.R., Ducheyne, P., “A three-dimensional nonlinear finite element analysis of the mechanical behavior of tissue engineered intervertebral discs under complex loads,” Biomaterials, 2006, vol. 27, pp. 377-387.  Little, J.P., Adam, C.J., Evans, J.H., Pettet, G.J., Pearcy, M.J., “Nonlinear finite element analysis of anular lesions in the l4/5 intervertebral disc,” J. Biomech., 2007, vol. 40, no. 12, pp. 2744-2751.  Biot, M.A., “General theory of three-dimensional consolidation,” J. Appl. Physi., 1941, vol. 12, no. 2, pp. 155-164.  Zienkiewicz, O.C., Shiomi, T., Dynamic behavior of saturated porous media, Dept. Report Cr/431/82, Dept. Chem Engng, Univ. College, Swansea, 1982.  Wu, J.S.S., “Generation of a three-dimensional poroelastic finite element model of the spinal motion segments by energy theory,” National Science Council Project Report Nsc81-0401-E005-07, Taipei, Taiwan, ROC, August 1993.  Zienkiewicz, O.C. and Taylor R.L., The Finite Element Method, New York, McGraw-Hill, 1989, vol. 1, 4th Edition.  Cook, R.D., Concepts and Applications of Finite Element Analysis, New York, Wiley, 1981, 2nd Edition.  Patwardhan, A.G., Havey, R.M., Ghanayem, A.J., et al., “Load-carrying capacity of the human cervical spine in compression is increased under a follower load,” Spine, 2000, vol. 25, no. 12, pp. 1548-1554.  Lyons, G., Eisenstein, S.M., Sweet, M.B., “Biochemical changes in intervertebral disc degeneration,” Biochim. Biophys. Acta, 1981, vol. 673, pp. 443-453.  Shah, J.S., Hampson, W.G., Jayson, M.I., “The distribution of surface strain in the cadaveric lumbar spine,” J. Bone Jt. Surg., Br., 1978, vol. 60-B, no. 2, pp. 246-251.  Lin, H.S., Liu, Y.K., Adams, K.H., “Mechanical response of the lumbar intervertebral joint under physiological (complex) loading,” J. Bone Jt. Surg., Am., 1978, vol. 60, pp. 41-55.  Ng, H.W., Teo, E.C., “Nonlinear finite-element analysis of the lower cervical spine (c4-c6) under axial loading,” J. Spinal Disord., 2001, vol. 14, no. 3, pp. 201-210.  Yao, H., Gu, W.Y., “Three-dimensional inhomogeneous triphasic finite-element analysis of physical signals and solute transport in human intervertebral disc under axial compression,” J. Biomech., 2007, vol. 40, pp. 2071-2077.  Adams, M.A., McNally, D.S., Dolan, P., “''Stress'' distributions inside intervertebral discs. The effects of age and degeneration,” J. Bone Jt. Surg., Br., 1996, vol. 78, pp. 965-972.  Nachemson, A., “In vivo discometry in lumbar discs with irregular nucleograms some differences in stress distribution between normal and moderately degenerated discs,” Acta Orthop. Scand., 1965, vol. 36, pp. 418-434.  Johannessen, W., Elliott, D.M., “Effects of degeneration on the biphasic material properties of human nucleus pulposus in confined compression,” Spine, 2005, vol. 30, no. 24, pp. E724-E729.  Chen, J.H., Studies on the spinal and femoral biomechanics using numerical simulation methods, Ph. D. Dissertation, Department of Physics, Chung Yuan Christian University, 1997.  Wu, J.S.S., Chen, J.H., “Clarification of the mechanical behaviour of spinal motion segments through a three-dimensional poroelastic mixed finite element model,” Med. Eng. Phys., 1996, vol. 18, no. 3, pp. 215-224.  Cook, R.D., Young, W.C. Advanced Mechanics of Materials, New York, Macmillan, 1985.  Zhang, Q.H., Zhou, Y.L., Petit, D., Teo, E.C., “Evaluation of load transfer characteristics of a dynamic stabilization device on disc loading under compression,” Med. Eng. Phys., 2009, vol. 31, pp. 533-538.|
Clarifying the mechanical behaviors of spinal motion segments (SMSs) will provide guidance in clinical diagnosis and treatment. Therefore, understanding the micro-mechanical behaviors in the SMSs is extremely important. However, information obtained through in vitro experiments of SMSs is limited. In the last ten years, most solid finite element models adopted linear or non-linear analyses to study the mechanical behaviors of SMSs. However, these studies did not consider fluid effects. Furthermore, the obtained deformed shape of an intervertebral disc (IVD) is unrealistic. Conversely, applying porous medium theory and simulating SMSs with the finite element model can accurately describe the bi-phasic interaction effects of solids and fluids in SMSs, and also account for variations in skeletal stress, fluid pressure and fluid fields. As is known, the fluid in the solid skeleton is highly incompressible, and the amount of fluid plays an important role in support of the overall mechanical response of SMSs. To compare with existing in vitro experimental data, and verify the significance of this study, a novel three-dimensional fine poroelastic finite element model was employed, and a geometrically nonlinear process was used to investigate the mechanical behaviors of SMSs. To account for the difference in fluid content of the nucleus and annulus of SMSs in in vitro experiments, the fluid content in the nucleus and annulus are used as variable parameters, and the exterior boundary of the poroelastic media is set as impermissible to fluid flowing out. External force inclines following with the acting surface. The material properties of a porous medium in various tissues are derived from experimental data fitting. The result of this study shows that fluid in the IVD has a very important role in supporting SMSs. The deformation of the IVD is significantly close to that represented by experimental data in literature. The solid stress inside the nucleus remains very low. When fluid content in an IVD decreases, vertical deflection, lateral bulge, and stress in the annulus increase, with swelling pressure of nucleus pulposus reducing. The process introduced here can simulate the real mechanical behavior of SMSs; thus, this study is very useful in understanding the mechanical behavior of SMSs, and provides correct reference information for medicine field. A future study will intensively investigate the in vivo mechanical behavior of SMSs.
|Appears in Collections:||機械工程學系所|
Show full item record
TAIR Related Article
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.