Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/2302
標題: 脊椎運動骨節之三維非線性多孔彈性有限元素法之生物力學研究
A Biomechanical Study of Spinal Motion Segment Based on a Three-Dimensional Nonlinear Poroelastic Finite Element Method
作者: 林孝哲
Lin, Hsiao-Che
關鍵字: Spinal motion segment
脊椎運動骨節
Intervertebral disc
Nonlinearity
Poroelastic finite element
Swelling pressure.
椎間盤
非線性
多孔彈性有限元素
壓縮膨脹壓.
出版社: 機械工程學系所
引用: [1] 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. [2] Simon, S.R., Kinesiology,. In: Simon, S.R., ed., “Orthopaedic basic science,” Am. Acad. Orthop. Surg., 1994, pp. 519-622. [3] 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. [4] Buckwalter, J.A., “Aging and degeneration of the human intervertebral disc,” Spine, 1995, vol. 20, no. 11, pp. 1307-1314. [5] Ghosh, P., Biology of the intervertebral disc, Boca Raton, FL, CRC Press, 1988. [6] 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. [7] 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. [8] 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. [9] Hirsch, C., “The reaction of intervertebral discs to compression forces,” J. Bone Jt. Surg., Am., 1955, vol. 37, pp. 1188-1196. [10] 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. [11] 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. [12] 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. [13] 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. [14] 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, [15] Nachemson, A.L., “Disc pressure measurements,” Spine, 1981, vol. 6, no. 1, pp. 93-97. [16] 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. [17] 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. [18] 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. [19] 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. [20] 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. [21] 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. [22] 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. [23] 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. [24] 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. [25] 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. [26] 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. [27] 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. [28] 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. [29] 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. [30] 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. [31] Biot, M.A., “General theory of three-dimensional consolidation,” J. Appl. Physi., 1941, vol. 12, no. 2, pp. 155-164. [32] Zienkiewicz, O.C., Shiomi, T., Dynamic behavior of saturated porous media, Dept. Report Cr/431/82, Dept. Chem Engng, Univ. College, Swansea, 1982. [33] 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. [34] Zienkiewicz, O.C. and Taylor R.L., The Finite Element Method, New York, McGraw-Hill, 1989, vol. 1, 4th Edition. [35] Cook, R.D., Concepts and Applications of Finite Element Analysis, New York, Wiley, 1981, 2nd Edition. [36] 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. [37] Lyons, G., Eisenstein, S.M., Sweet, M.B., “Biochemical changes in intervertebral disc degeneration,” Biochim. Biophys. Acta, 1981, vol. 673, pp. 443-453. [38] 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. [39] 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. [40] 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. [41] 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. [42] 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. [43] 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. [44] 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. [45] 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. [46] 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. [47] Cook, R.D., Young, W.C. Advanced Mechanics of Materials, New York, Macmillan, 1985. [48] 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.
摘要: 探討脊椎骨節之力學行為有助於臨床上的診斷與治療。因此瞭解腰椎骨節中各組織內正確的微觀力學行為是一個非常重要的主題。脊椎骨節的各種實體試驗,所獲得的資訊極為有限。近十年來大多以固體有限元素模式採用線性或非線性過程來了解椎體的運動行為。這種研究由於無法考慮液體效應,而且求得的椎間盤變形形狀也不真實,所以爭議性頗大。採用多孔媒體理論以有限元素模式來模擬脊椎骨節的運動行為,則可正確地描述椎體內固體液體雙相的交互效應,骨骼應力、液體壓力和流場之變化。我們知道骨骼組織中所含的液體是高度不可壓縮,而且液體之多寡在骨節整體支撐上扮演著關鍵的角色。為了和現有實體試驗結果相比較,來驗證本研究方法的可行性,我們採用三維精細多孔彈性有限元素模式,以幾何非線性的過程來探討骨節的力學行為。為了考慮實體試驗椎體髓核與纖維環的液體含量不同,本研究將髓核與纖維環的液體含量設為可變參數,多孔媒體外表邊界液體均設為不可滲出,外力隨作用面傾斜。各組織的多孔材料性質則根據試驗數據整順而得。此計算過程可以模擬骨節的真實力學反應。研究結果顯示椎間盤內的液體在支撐骨節上是很重要的,變形現象與文獻之試驗數據非常接近,而且髓核內部的應力始終很低。椎間盤液體含量減少,造成其垂直撓度增加,側椎突增加,以及髓核之壓縮膨脹壓降低,纖維環之應力增大。本研究的方法對於正確瞭解骨節之力學行為是非常有幫助的,並且可提供醫藥領域正確的參考資訊。未來我們將再深入研究活體脊椎運動骨節之力學行為。
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.
URI: http://hdl.handle.net/11455/2302
其他識別: U0005-1908200917481600
文章連結: http://www.airitilibrary.com/Publication/alDetailedMesh1?DocID=U0005-1908200917481600
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