Finite Element Simulation of Location- And Time-Dependent Mechanical Behavior of Chondrocytes in Unconfined Compression Tests

Annals of Biomedical Engineering

Volumn 28, Issue 3, 2000, Pages 318-330

  Wu, J Z ^a   Herzog, W ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

Adaptation; Biphasic; Cartilage; Cell mechanics; Finite element analysis; Poroelastic; Tissue growth

Indexed keywords

ANIMAL; ARTICLE; ARTICULAR CARTILAGE; BIOLOGICAL MODEL; CARTILAGE CELL; COMPRESSIVE STRENGTH; CYTOLOGY; ELASTICITY; FINITE ELEMENT ANALYSIS; FLOW KINETICS; MATHEMATICAL COMPUTING; MECHANICAL STRESS; NONLINEAR SYSTEM; PERMEABILITY; PHYSIOLOGY; REPRODUCIBILITY; STATISTICAL MODEL;

ANIMALS; CARTILAGE, ARTICULAR; CHONDROCYTES; COMPRESSIVE STRENGTH; ELASTICITY; FINITE ELEMENT ANALYSIS; LINEAR MODELS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PERMEABILITY; REPRODUCIBILITY OF RESULTS; RHEOLOGY; STRESS, MECHANICAL;

EID: 0034152847     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1114/1.271     Document Type: Article

References (35)

1. Ateshian, G. A., W. H. Warden, J. J. Kim, R. P. Grelsamer, and V. C. Mow. Finite deformation biphasic material properties of bovine articular cartilage from confined compression experiments. J. Biomech. 30:1157-1164, 1997.
2. Athanasiou, K. A., M. P. Rosenwasser, J. A. Buckwalter, T. I. Malinin, and V. C. Mow. Interspecies comparisons in in situ intrinsic mechanical properties of distal cartilage. J. Orthop. Res. 9:330-340, 1991.
3. Bachrach, N. M., B. Valhmu, E. Stazzone, A. Ratcliffe, W. M. Lai, and V. C. Mow. Changes in proteoglycan synthesis of chondrocytes in articular cartilage are associated with the time-dependent changes in their mechanical environment. J. Biomech. 28:1561-1569, 1995.
4. Buschmann, M. D., Y. A. Gluzband, A. J. Grodzinsky, J. H. Kimmura, and E. Hunziker. Chondrocytes in agarose culture synthesize a mechanically functional extracellular matrix. J. Orthop. Res. 10:745-758, 1992.
5. Buschmann, M. D., Y. A. Gluzband, A. J. Grodzinsky, and E. Hunziker. Mechanical compression modulates matrix biosynthesis in chondrocyte/agarose culture. J. Cell. Sci. 108:1497-1508, 1995.
6. Christensen, R. M. Mechanics of Composite Materials. Malabar, FL: Krieger, 1991.
7. Clark, A. L., W. Herzog, J. R. Matyas, and L. D. Barclay. Chondrocyte deformation resulting from in situ compression of articular cartilage. Proc. XVII Congr. Int. Soc. Biomech. (ISB'99), 1999, p. 339.
8. Eshelby, J. D. The continuum theory of lattice defects. edited by F. Seitz and D. Turnbull. In: Progress in Solid State Physics; New York: Academic, 1956, Vol. 3, p. 79.
9. Glanz, J. Force-carrying web pervades living cell. Science 276:678-679, 1997.
10. Gray, M. L., A. M. Pizzanelli, A. J. Grodzinsky, and R. C. Lee. Mechanical and physiochemical determinants of the chondrocyte biosynthetic response. J. Orthop. Res. 6:777-792, 1988.
11. Guilak, F., Compression-induced changes in the shape and volume of the chondrocyte nucleus. J. Biomech. 28:1529-1541, 1995.
12. Guilak, F., and V. C. Mow. Determination of the mechanical response of the chondrocyte in situ using confocal microscopy and finite element analysis. Adv. Biomech. ASME BED-22:21-23, 1992.
13. Guilak, F., A. Ratcliffe, and V. C. Mow. Chondrocyte deformation and local tissue strain in articular cartilage: A confocal microscopy study. J. Orthop. Res. 13:410-421, 1995.
14. Hashin, Z., and S. Shtrikman. A variational approach to the theory of the effective magnetic permeability of multiphase materials. J. Appl. Phys. 33:3125-3131, 1962.
15. Holmes, M. H. Finite deformation of soft tissue: analysis of a mixture model in uni-axial compression. J. Biomech. Eng. 108:372-381, 1986.
16. Holmes, M. H., and V. C. Mow. The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration. J. Biomech. 23:1145-1156, 1990.
17. Hou, J. S., M. H. Holmes, W. M. Lai, and V. C. Mow. Boundary conditions at the cartilage-synovial fluid interface for joint lubrication and theoretical verifications. J. Biomech. Eng. 111:78-87, 1989.
18. Lai, W. M., V. C. Mow, and V. Roth. Effects of nonlinear strain-dependent permeability and rate of compression on the stress behavior of articular cartilage. ASME J. Biomech. Eng. 103:61-66, 1981.
19. IMSL. User's Manual of IMSL Mathematical Library. Chap. 5: Differential Equations. IMSL, Houston: IMSL, 1990.
20. Jones, W. R., H. P. Ting-Beall, G. M. Lee, S. S. Kelley, R. M. Hochmuth, and F. Guilak. Mechanical properties of human chondrocytes and chondrons from normal and osteoarthritic cartilage. Trans. Orthop. Res. Soc. 22:1:199, 1997.
21. McLaughlin, R. A study of the differential scheme for composite materials. Int. J. Eng. Sci. 15:237-244, 1977.
22. Mow, V. C., S. C. Kuei, W. M. Lai, and C. G. Armstrong. Biphasic creep and stress relaxation of articular cartilage: Theory and experiment. ASME J. Biomech. Eng. 102:73-84, 1980.
23. Mow, V. C., N. M. Bachrach, L. A. Setton, and F. Guilak. Stress, Strain, Pressure and Flow Fields in Articular Cartilage and Chondrocytes. Edited by: V. C. Mow, F. Guilak, R. Tran-Son-Tay, and R. M. Hochmuth. In: Cell Mechanics and Cellular Engineering, New York: Springer, 1994, pp. 345-379.
24. Norris, A. N. A differential scheme for the effective moduli of composites. Mech. Mater. 4:1-16, 1985.
25. Saamanen, A. M., M. Tammi, I. Kiviranta, J. Jurvelin, and H. J. Helminen. Maturation of proteoglycan matrix in articular cartilage under increased and decreased joint loading - A study in young rabbits. Conn. Tissue Res. 16:163-175, 1987.
26. Sah, R. L-Y., A. J. Grodzinsky, A. H. K. Plaas, and J. D. Sandy. Effects of static and dynamic compression on matrix metabolism in cartilage explants. Edited by K. E. Kuettner, R. Schleyebach, J. G. Peyron, and V. Hascall. In: Articular Cartilage and Osteoarthritis, New York: Raven, 1991, pp. 373-383.
27. Schinagl, R. M., D. Gurskis, A. C. Chen, and R. L. Sah. Depth-dependent confined compression modulus of full-thickness bovine articular cartilage. J. Orthop. Res. 15:499-506, 1997.
28. Schneiderman, R., D. Keret, and A. Maroudas. Effects of mechanical and osmotic pressure on the fate of glycosaminoglycan synthesis in the human adult femoral head cartilage: An in vitro study. J. Orthop. Res. 4:393-408, 1986.
29. Shin, D., and K. A. Athanasiou. Biomechanical properties of the individual cell. Trans. Orthop. Res. Soc. 22:1:352, 1997.
30. Stockwell, R. A. Biology of Cartilage Cells. Cambridge: Cambridge University Press, 1979.
31. Torzilli, P. A., R. Grigiene, C. Huang, S. M. Friedman, S. B. Doty, A. L. Boskey, and G. Lust. Characterization of cartilage metabolic response to static and dynamic stress using a mechanical explant test system. J. Biomech. 30:1-9, 1997.
32. Wong, M., P. Wuethrich, M. D. Buschmann, P. Eggli, and E. Hunziker. Chondrocyte biosynthesis correlates with local tissue strain in statically compressed adult articular cartilage. J. Orthop. Res. 15:189-198, 1997.
33. Wu, J. Z., W. Herzog, and M. Epstein. Evaluation of the finite element software ABAQUS for biomechanical modelling of biphasic tissues. J. Biomech. 31:165-169, 1998.
34. Wu, J. Z., W. Herzog, and M. Epstein. Modeling of location-and time-dependent deformation of chondrocytes during cartilage loading. J. Biomech. 32:563-572, 1999.
35. Zimmerman, R. W. Elastic moduli of a solid containing spherical inclusions. Mech. Mater. 12:17-24, 1991.