Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-09T08:08:12.892Z Has data issue: false hasContentIssue false

Material Property Identification of Artificial Degenerated Intervertebral Disc Models — Comparison of Inverse Poroelastic Finite Element Analysis with Biphasic Closed Form Solution

Published online by Cambridge University Press:  01 May 2013

M. Nikkhoo
Affiliation:
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran Institute of Biomedical Engineering, College of Medicine and College of Engineering, National Taiwan University, Taipei, Taiwan10617, R.O.C.
Y.-C. Hsu
Affiliation:
Institute of Biomedical Engineering, College of Medicine and College of Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
M. Haghpanahi
Affiliation:
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
M. Parnianpour
Affiliation:
School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
J.-L. Wang*
Affiliation:
Institute of Biomedical Engineering, College of Medicine and College of Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Get access

Abstract

Disc rheological parameters regulate the mechanical and biological function of intervertebral disc. The knowledge of effects of degeneration on disc rheology can be beneficial for the design of new disc implants or therapy. We developed two material property identification protocols, i.e., inverse poroelas-tic finite element analysis, and biphasic closed form solution. These protocols were used to find the material properties of intact, moderate and severe degenerated porcine discs. Comparing these two computational protocols for intact and artificial degenerated discs showed they are valid in defining bi-phasic/poroelastic properties. We found that enzymatic agent disrupts the functional interactions of proteoglycans which decreased hydraulic permeability and aggregate modulus but increased the Poisson's ratio. The fatigue loading, which damages disc structure, and squeezes and occludes the matrix pores, further decreased the hydraulic permeability and the Poisson's ratio but increased the elastic modulus. The FE simulations showed the stress experienced during the creep test increases with severe degeneration but steady-state fluid loss decreases for the both moderate and severe degenerated discs. Discriminant analysis declared that the probability of correct classification using the FE analysis is higher than the results of the closed form solution. The specimen-specific models extracted from FE analysis can be additionally used for complimentary investigations on disc biomechanics.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Roberts, S., Menage, J., Sivan, S. and Urban, J. P., “Bovine Explant Model of Degeneration of the Intervertebral Disc,” BMC Musculoskeletal Disorders, 9, p. 24 (2008).CrossRefGoogle ScholarPubMed
2.Norcross, J. P., Lester, G. E., Weinhold, P. and Dahners, L. E., “An in Vivo Model of Degenerative Disc Disease,” Journal of Orthopaedic Research, 21, pp. 183188 (2003).Google Scholar
3.Chuang, S. Y., Lin, L. C., Tsai, Y. C. and Wang, J. L., “Exogenous Crosslinking Recovers the Functional Integrity of Intervertebral Disc Secondary to a Stab Injury,” Journal of Biomedical Materials Research. Part A, 92, pp. 297302 (2010).CrossRefGoogle ScholarPubMed
4.Kroeber, M. W., Unglaub, F., Wang, H., Schmid, C., Thomsen, M., Nerlich, A. and Richter, W., “New in Vivo Animal Model to Create Intervertebral Disc De-Generation and to Investigate the Effects of Thera-Peutic Strategies to Stimulate Disc Regeneration,” Spine, 27, pp. 26842690 (2002).Google Scholar
5.Acaroglu, E. R., Iatridis, J. C., Setton, L. A., Foster, R. J., Mow, V. C. and Weidenbaum, M., “Degeneration and Aging Affect the Tensile Be-Havior of Human Lumbar Anulus Fibrosus,” Spine, 20, pp. 26902701 (1995).Google Scholar
6.Gu, W. Y., Mao, X. G., Foster, R. J., Weidenbaum, M., Mow, V. C. and Rawlins, B. A., “The Anisot-ropic Hydraulic Permeability of Human Lumbar Anulus Fibrosus: Influence of Age, Degeneration, Direction, and Water Content,” Spine, 24, pp. 2449 (1999).CrossRefGoogle ScholarPubMed
7.Iatridis, J. C., Setton, L. A., Foster, R. J., Rawlins, B. A., Weidenbaum, M. and Mow, V. C., “Degeneration Affects the Anisotropic and Nonlinear Behaviors of Human Anulus Fibrosus in Compression,” Journal of Biomechanics, 31, pp. 535544 (1998).Google Scholar
8.Johannessen, W. and Elliott, D. M., “Effects of DeGeneration on the Biphasic Material Properties of Human Nucleus Pulposus in Confined Compression,” Spine, 30, pp. E724E729 (2005).Google Scholar
9.Kuo, Y. W. and Wang, J. L., “Rheology of InterverTebral Disc: An Ex Vivo Study on the Effect of Load-Ing History, Loading Magnitude, Fatigue Loading, and Disc Degeneration,” Spine, 35, pp. E743752 (2010).Google Scholar
10.Elliott, D. M. and Setton, L. A., “Anisotropic and Inhomogeneous Tensile Behavior of the Human Anulus Fibrosus: Experimental Measurement and Material Model Predictions,” Journal of Biome-Chanical Engineering, 123, p. 256 (2001).Google Scholar
11.Heneghan, P. and Riches, P. E., “Determination of the Strain-Dependent Hydraulic Permeability of the Compressed Bovine Nucleus Pulposus,” Journal of Biomechanics, 41, pp. 903906 (2008).Google Scholar
12.Best, B. A., Guilak, F., Setton, L. A., Zhu, W., Saed-Nejad, F., Ratcliffe, A., Weidenbaum, M. and Mow, V. C., “Compressive Mechanical Properties of the Human Anulus Fibrosus and Their Relationship to Biochemical Composition,” Spine, 19, pp. 212221 (1994).CrossRefGoogle ScholarPubMed
13.Drost, M. R., Willems, P., Snijders, H., Huyghe, J.M., Janssen, J. D. and Huson, A., “Confined ComPression of Canine Annulus Fibrosus Under Chemical and Mechanical Loading,” Journal of Biome-chanical Engineering, 117, pp. 390396 (1995).Google Scholar
14.Houben, G. B., Drost, M. R., Huyghe, J. M., Janssen, J. D. and Huson, A., “Nonhomogeneous Permeability of Canine Anulus Fibrosus,” Spine, 22, pp. 716 (1997).CrossRefGoogle ScholarPubMed
15.Soltz, M. A. and Ateshian, G. A., “Experimental Verification and Theoretical Prediction of Cartilage Interstitial Fluid Pressurization at an Impermeable Contact Interface in Confined Compression,” Journal of Biomechanics, 31, pp. 927934 (1998).Google Scholar
16.Yao, H., Justiz, M. A., Flagler, D. and Gu, W. Y., “Effects of Swelling Pressure and Hydraulic PerMeability on Dynamic Compressive Behavior of Lumbar Annulus Fibrosus,” Annals of Biomedical Engineering, 30, pp. 12341241 (2002).Google Scholar
17.Perie, D., Korda, D. and Iatridis, J. C., “Confined Compression Experiments on Bovine Nucleus Pulposus and Annulus Fibrosus: Sensitivity of the Experiment in the Determination of Compressive Modulus and Hydraulic Permeability,” Journal of Biomechanics, 38, pp. 21642171 (2005).CrossRefGoogle ScholarPubMed
18.Frijns, A., “A Validation of the Quadriphasic Mixture Theory for Intervertebral Disc Tissue,” International Journal of Engineering Science, 35, pp. 14191429 (1997).Google Scholar
19.Schroeder, Y., Elliott, D. M., Wilson, W., Baaijens, F. P. and Huyghe, J. M., “Experimental and Model Determination of Human Intervertebral Disc Os-Moviscoelasticity,” Journal of Orthopaedic Research, 26, pp. 11411146 (2008).Google Scholar
20.Biot, M. A., “General Theory of Three-Dimensional Consolidation,” Journal of Applied Physics, 12, pp. 155164 (1941).Google Scholar
21.Riches, P. E., Dhillon, N., Lotz, J., Woods, A. W. and McNally, D. S., “The Internal Mechanics of the Intervertebral Disc Under Cyclic Loading,” Journal of Biomechanics, 35, pp. 12631271 (2002).Google Scholar
22.Simon, B. R., Wu, J. S., Carlton, M. W., Kazarian, L. E., France, E. P., Evans, J. H. and Zienkiewicz, O. C., “Poroelastic Dynamic Structural Models of Rhesus Spinal Motion Segments,” Spine, 10, pp. 494507 (1985).Google Scholar
23.Natarajan, R. N., Williams, J. R. and Andersson, G. B., “Recent Advances in Analytical Modeling of Lumbar Disc Degeneration,” Spine, 29, pp. 27332741 (2004).Google Scholar
24.Stokes, I. A., Laible, J. P., Gardner-Morse, M. G., Costi, J. J. and Iatridis, J. C., “Refinement of Elastic, Poroelastic, and Osmotic Tissue Properties of In-Tervertebral Disks to Analyze Behavior in Compres-Sion,” Annals of Biomedical Engineering, 39, pp. 122131 (2011).Google Scholar
25.Wang, J. L., Wu, T. K., Lin, T. C., Cheng, C. H. and Huang, S. C., “Rest Cannot Always Recover the Dy-Namic Properties of Fatigue-Loaded Intervertebral Disc,” Spine, 33, pp. 18631869 (2008).Google Scholar
26.Hsu, Y. C., Chang, Y. C., Lin, J. H., Chuang, I. T., Kuo, Y. W., Nikkhoo, M. and Wang, J. L., “Exogenous Crosslinker Assists Disc Structural and Functional Recovery from Biochemical and Mechanical Induced Degeneration-An ex vivo Study Using Whole Disc Culture System,” ORS 2012 Annual Meeting, San Francisco, California (2012).Google Scholar
27.Hsu, Y. C., Chang, Y. C., Lin, M. H., Wang, R. A. and Wang, J. L., “Dynamic Loading is More Effective than Forced Circulation in Transporting Small Weight Molecule in an In-Vitro Whole Disc Cul-turing System,” ORS 2011 Annual Meeting, Long Beach, California (2011).Google Scholar
28.Kojic, M., Filipovic, N., Vulovic, S. and Mijailovic, S., “A Finite Element Solution Procedure for Porous Medium with Fluid Flow and Electromechanical Coupling,” Communications in Numerical Methods in Engineering, 14, pp. 381392 (1998).Google Scholar
29.Nikkhoo, M., Haghpanahi, M., Wang, J. L. and Parnianpour, M., “Axisymmetric Poroelastic FE Modeling of Intervertebral Disc for Investigation of Lumbar Spine Biomechanics (In Farsi),” Iranian Journal of Biomedical Engineering, 5, pp. 2132 (2011).Google Scholar
30.Nikkhoo, M., Haghpanahi, M., Parnianpour, M. and Wang, J. L., “Dynamic Responses of Intervertebral Disc During Static Creep and Dynamic Cyclic Loading: A Parametric Poroelastic Finite Element Analysis,” Biomedical Engineering: Applications, Basis and Communications, 25, 1350013 (9 pages) DOI: 10.1142/S1016237213500130 (2013).Google Scholar
31.Galbusera, F., Schmidt, H., Noailly, J., Malandrino, A., Lacroix, D., Wilke, H. J. and Shirazi-Adl, A., “Comparison of Four Methods to Simulate Swelling in Poroelastic Finite Element Models of In-Tervertebral Discs,” Journal of the Mechanical Behavior of Biomedical Materials, 4, pp. 12341241 (2011).Google Scholar
32.Argoubi, M. and Shirazi-Adl, A., “Poroelastic Creep Response Analysis of a Lumbar Motion Segment in Compression,” Journal of Biomechanics, 29, pp. 13311339 (1996).Google Scholar
33.Schmidt, H., Shirazi-Adl, A., Galbusera, F. and Wilke, H. J., “Response Analysis of the Lumbar Spine During Regular Daily Activities-A Finite Element Analysis,” Journal of Biomechanics, 43, pp. 18491856 (2010).Google Scholar
34.Mow, V. C., Kuei, S. C., Lai, W. M. and Armstrong, C. G., “Biphasic Creep and Stress Relaxation of ArTicular Cartilage in Compression? Theory and ExPeriments,” Journal of Biomechanical Engineering, 102, pp. 7384 (1980).Google Scholar
35.McLain, R. F., Yerby, S. A. and Moseley, T. A., “Comparative Morphometry of L4 Vertebrae: Comparison of Large Animal Models for the Human Lumbar Spine,” Spine, 27, pp. E200206 (2002).Google Scholar
36.Beckstein, J. C., Sen, S., Schaer, T. P., Vresilovic, E. J. and Elliott, D. M., “Comparison of Animal Discs Used in Disc Research to Human Lumbar Disc: Axial Compression Mechanics and Glycosaminoglycan Content,” Spine, 33, pp. E166173 (2008).Google Scholar
37.Adams, M. A., McNally, D. S. and Dolan, P., “Stress' Distributions Inside Intervertebral Discs - the Effects of Age and Degeneration,” Journal of Bone and Joint Surgery-British Volume, 78, pp. 965972 (1996).Google Scholar
38.Ferguson, S. J., Ito, K. and Nolte, L. P., “Fluid Flow and Convective Transport of Solutes Within the In-Tervertebral Disc,” Journal of Biomechanics, 37, pp. 213221 (2004).CrossRefGoogle ScholarPubMed