An Anisotropic Multiphysics Model for Intervertebral Disk

Overview

Journal J Appl Mech

Publisher American Society of Mechanical Engineers

Date 2016 Apr 22

PMID 27099402

Citations 4

Authors

Xin Gao

Qiaoqiao Zhu

Weiyong Gu

Affiliations

Soon will be listed here.

Abstract

Intervertebral disk (IVD) is the largest avascular structure in human body, consisting of three types of charged hydrated soft tissues. Its mechanical behavior is nonlinear and anisotropic, due mainly to nonlinear interactions among different constituents within tissues. In this study, a more realistic anisotropic multiphysics model was developed based on the continuum mixture theory and employed to characterize the couplings of multiple physical fields in the IVD. Numerical simulations demonstrate that this model is capable of systematically predicting the mechanical and electrochemical signals within the disk under various loading conditions, which is essential in understanding the mechanobiology of IVD.

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References

Cortes D, Jacobs N, DeLucca J, Elliott D . Elastic, permeability and swelling properties of human intervertebral disc tissues: A benchmark for tissue engineering. J Biomech. 2014; 47(9):2088-94. PMC: 4047194. DOI: 10.1016/j.jbiomech.2013.12.021. View

Adams M, Roughley P . What is intervertebral disc degeneration, and what causes it?. Spine (Phila Pa 1976). 2006; 31(18):2151-61. DOI: 10.1097/01.brs.0000231761.73859.2c. View

Jacobs N, Cortes D, Peloquin J, Vresilovic E, Elliott D . Validation and application of an intervertebral disc finite element model utilizing independently constructed tissue-level constitutive formulations that are nonlinear, anisotropic, and time-dependent. J Biomech. 2014; 47(11):2540-6. PMC: 4366133. DOI: 10.1016/j.jbiomech.2014.06.008. View

Yao H, Gu W . Physical signals and solute transport in cartilage under dynamic unconfined compression: finite element analysis. Ann Biomed Eng. 2004; 32(3):380-90. DOI: 10.1023/b:abme.0000017540.84764.6f. View

Yao H, Gu W . Convection and diffusion in charged hydrated soft tissues: a mixture theory approach. Biomech Model Mechanobiol. 2006; 6(1-2):63-72. PMC: 2671028. DOI: 10.1007/s10237-006-0040-3. View

Wilson W, van Donkelaar C, Huyghe J . A comparison between mechano-electrochemical and biphasic swelling theories for soft hydrated tissues. J Biomech Eng. 2005; 127(1):158-65. DOI: 10.1115/1.1835361. View

Gu W, Mao X, Foster R, Weidenbaum M, Mow V, Rawlins B . The anisotropic hydraulic permeability of human lumbar anulus fibrosus. Influence of age, degeneration, direction, and water content. Spine (Phila Pa 1976). 2000; 24(23):2449-55. DOI: 10.1097/00007632-199912010-00005. View

Ebara S, Iatridis J, Setton L, Foster R, Mow V, Weidenbaum M . Tensile properties of nondegenerate human lumbar anulus fibrosus. Spine (Phila Pa 1976). 1996; 21(4):452-61. DOI: 10.1097/00007632-199602150-00009. View

Farrell M, Riches P . On the poisson's ratio of the nucleus pulposus. J Biomech Eng. 2014; 135(10):104501. DOI: 10.1115/1.4025180. View

10.

Skaggs D, Weidenbaum M, Iatridis J, Ratcliffe A, Mow V . Regional variation in tensile properties and biochemical composition of the human lumbar anulus fibrosus. Spine (Phila Pa 1976). 1994; 19(12):1310-9. DOI: 10.1097/00007632-199406000-00002. View

11.

Belytschko T, Kulak R, Schultz A, Galante J . Finite element stress analysis of an intervertebral disc. J Biomech. 1974; 7(3):277-85. DOI: 10.1016/0021-9290(74)90019-0. View

12.

Laible J, Pflaster D, Krag M, Simon B, Haugh L . A poroelastic-swelling finite element model with application to the intervertebral disc. Spine (Phila Pa 1976). 1993; 18(5):659-70. DOI: 10.1097/00007632-199304000-00019. View

13.

Urban J, Maroudas A . Swelling of the intervertebral disc in vitro. Connect Tissue Res. 1981; 9(1):1-10. DOI: 10.3109/03008208109160234. View

14.

Lanir Y . Biorheology and fluid flux in swelling tissues. I. Bicomponent theory for small deformations, including concentration effects. Biorheology. 1987; 24(2):173-87. DOI: 10.3233/bir-1987-24210. View

15.

Gu W, Yao H, Huang C, Cheung H . New insight into deformation-dependent hydraulic permeability of gels and cartilage, and dynamic behavior of agarose gels in confined compression. J Biomech. 2003; 36(4):593-8. DOI: 10.1016/s0021-9290(02)00437-2. View

16.

Iatridis J, Setton L, Foster R, Rawlins B, Weidenbaum M, Mow V . Degeneration affects the anisotropic and nonlinear behaviors of human anulus fibrosus in compression. J Biomech. 1998; 31(6):535-44. DOI: 10.1016/s0021-9290(98)00046-3. View

17.

Heuer F, Schmidt H, Klezl Z, Claes L, Wilke H . Stepwise reduction of functional spinal structures increase range of motion and change lordosis angle. J Biomech. 2006; 40(2):271-80. DOI: 10.1016/j.jbiomech.2006.01.007. View

18.

Iatridis J, Kumar S, Foster R, Weidenbaum M, Mow V . Shear mechanical properties of human lumbar annulus fibrosus. J Orthop Res. 1999; 17(5):732-7. DOI: 10.1002/jor.1100170517. View

19.

Schmidt H, Galbusera F, Rohlmann A, Shirazi-Adl A . What have we learned from finite element model studies of lumbar intervertebral discs in the past four decades?. J Biomech. 2013; 46(14):2342-55. DOI: 10.1016/j.jbiomech.2013.07.014. View

20.

Vos T, Flaxman A, Naghavi M, Lozano R, Michaud C, Ezzati M . Years lived with disability (YLDs) for 1160 sequelae of 289 diseases and injuries 1990-2010: a systematic analysis for the Global Burden of Disease Study 2010. Lancet. 2012; 380(9859):2163-96. PMC: 6350784. DOI: 10.1016/S0140-6736(12)61729-2. View