DOI: 10.1115/1.1286561. A Microstructural Model of Elastostatic Properties of Articular Cartilage in Confined Compression

A Microstructural Model of Elastostatic Properties of Articular Cartilage in Confined Compression

10.1115/1.1286561

Crossref journal-article

ASME International

Journal of Biomechanical Engineering (33)

Abstract

A microstructural model of cartilage was developed to investigate the relative contribution of tissue matrix components to its elastostatic properties. Cartilage was depicted as a tensed collagen lattice pressurized by the Donnan osmotic swelling pressure of proteoglycans. As a first step in modeling the collagen lattice, two-dimensional networks of tensed, elastic, interconnected cables were studied as conceptual models. The models were subjected to the boundary conditions of confined compression and stress–strain curves and elastic moduli were obtained as a function of a two-dimensional equivalent of swelling pressure. Model predictions were compared to equilibrium confined compression moduli of calf cartilage obtained at different bath concentrations ranging from 0.01 to 0.50 M NaCl. It was found that a triangular cable network provided the most consistent correspondence to the experimental data. The model showed that the cartilage collagen network remained tensed under large confined compression strains and could therefore support shear stress. The model also predicted that the elastic moduli increased with increasing swelling pressure in a manner qualitatively similar to experimental observations. Although the model did not preclude potential contributions of other tissue components and mechanisms, the consistency of model predictions with experimental observations suggests that the cartilage collagen network, prestressed by proteoglycan swelling pressure, plays an important role in supporting compression. [S0148-0731(00)00704-4]

Bibliography

BursacÂ´, P., McGrath, C. V., Eisenberg, S. R., & StamenovicÂ´, D. (2000). A Microstructural Model of Elastostatic Properties of Articular Cartilage in Confined Compression. Journal of Biomechanical Engineering, 122(4), 347â353.

Authors 4

Predrag Bursac´ (first)
C. Victoria McGrath (additional)
Solomon R. Eisenberg (additional)
Dimitrije Stamenovic´ (additional)

References 19 Referenced 31

Maroudas, A., and Bannon, C., 1981, “Measurement of Swelling Pressure in Cartilage and Comparison With the Osmotic Pressure of Constituent Proteoglycans,” Biorheology, 18, pp. 619–632. (10.3233/BIR-1981-183-624)
Grodzinsky, A. J. , 1983, “Electromechanical and Physiological Properties of Connective Tissues,” CRC Crit. Rev. Biomed. Eng., 9, pp. 133–199.
Maroudas, A., Mizrahi, J., Haim, E. B., and Ziv, I., 1987, “Swelling Pressure in Cartilage,” Adv. Microcirc., 13, pp. 203–212.
Mizrahi, J., Maroudas, A., and Benaim, E., 1990, “Unconfined Compression for Studying Cartilage Creep,” Methods in Cartilage Research, Maroudas, A., and Kuettner, K., eds., Academic Press, London, pp. 293–298.
Khalsa, P. S., and Eisenberg, S. R., 1997, “Compressive Behavior of Articular Cartilage Is Not Completely Explained by Proteoglycan Osmotic Pressure,” J. Biomech., 30, pp. 589–594. (10.1016/S0021-9290(97)84508-3)
Bursac´, P., Obitz, T. W., Eisenberg, S. R., and Stamenovic´, D., 1999, “Confined and Unconfined Stress Relaxation of Cartilage: Appropriateness of a Transversely Isotropic Analysis,” J. Biomech., 32, pp. 1125–1130. (10.1016/S0021-9290(99)00105-0)
Farquhar, T., Dawson, P. R., and Torzilli, P. A., 1990, “A Microstructural Model for the Anisotropic Drained Stiffness of Articular Cartilage,” ASME J. Biomech. Eng., 112, pp. 414–425. (10.1115/1.2891205)
Mow, V. C., Ratcliffe, A., and Poole, A. R., 1992, “Cartilage and Diarthrodial Joints as Paradigms for Hierarchical Materials and Structures,” Biomaterials, 13, pp. 67–97. (10.1016/0142-9612(92)90001-5)
Schwartz, M. H., 1993, “A Microstructural Model for the Mechanical Response of Articular Cartilage,” Ph.D. Thesis, University of Minnesota, Minneapolis, MN.
Schwartz, M. H., Leo, P. H., and Lewis, J. L., 1994, “A Microstructural Model for the Elastic Response of Articular Cartilage,” J. Biomech., 27, pp. 865–873. (10.1016/0021-9290(94)90259-3)
Buschmann, M. D., and Grodzinsky, A. J., 1995, “A Molecular Model of Proteoglycans Associated Electrostatic Forces in Cartilage Mechanics,” ASME J. Biomech. Eng., 117, pp. 179–172. (10.1115/1.2796000)
Soulhat, J., Buschmann, M. D., and Shirazi-Adl, A., 1997, “A Nonhomogeneous Composite Model of Articular Cartilage: Development and Validation in Unconfined Compression,” Trans. Annual Meeting of the Orthopaedic Research Society, 22, p. 822822.
Soulhat, J., Buschmann, M. D., and Shirazi-Adl, A., 1998, “Non-linear Cartilage Mechanics in Unconfined Compression,” Trans. Annual Meeting of the Orthopaedic Research Society, 23, p. 226226.
Abe´, H., Hayashi, K., and Sato, M., eds., 1996, Data Book on the Mechanical Properties of Living Cells, Tissues and Organs, Springer, Tokyo, p. 220. (10.1007/978-4-431-65862-7)
Setton, L. A., Tohyama, H., and Mow, V. C., 1998, “Swelling and Curling Behaviors of Articular Cartilage,” ASME J. Biomech. Eng., 120, pp. 355–361. (10.1115/1.2798002)
Kovatch, I. S. , 1996, “A Molecular Theory of Cartilage Viscoelasticity,” Biophys. Chem., 59, pp. 61–73. (10.1016/0301-4622(95)00115-8)
McGrath, C. V., 1997, “A Microstructural Model of Cartilage Elasticity,” M. S. Thesis, Boston University, Boston, MA.
Lesperance, L. M., Gray, M. L., and Burstein, D., 1992, “Determination of Fixed Charge Density in Cartilage Using Nuclear Magnetic Resonance,” J. Orthop. Res., 10, pp. 1–13. (10.1002/jor.1100100102)
Basser, P. J., Schneiderman, R., Bank, R. A., Wachtel, E., and Maroudas, A., 1998, “Mechanical Properties of the Collagen Network in Human Articular Cartilage as Measured by Osmotic Stress Technique,” Arch. Biochem. Biophys., 351, pp. 207–219. (10.1006/abbi.1997.0507)

Dates

Type	When
Created	23 years ago (July 27, 2002, 5:03 a.m.)
Deposited	5 years, 10 months ago (Oct. 5, 2019, 9:36 p.m.)
Indexed	11 months, 4 weeks ago (Aug. 28, 2024, 3:46 a.m.)
Issued	25 years, 4 months ago (March 30, 2000)
Published	25 years, 4 months ago (March 30, 2000)
Published Online	25 years, 4 months ago (March 30, 2000)
Published Print	25 years ago (Aug. 1, 2000)

Funders 0

None

BibTeX

@article{Bursac__2000, title={A Microstructural Model of Elastostatic Properties of Articular Cartilage in Confined Compression}, volume={122}, ISSN={1528-8951}, url={http://dx.doi.org/10.1115/1.1286561}, DOI={10.1115/1.1286561}, number={4}, journal={Journal of Biomechanical Engineering}, publisher={ASME International}, author={Bursac´, Predrag and McGrath, C. Victoria and Eisenberg, Solomon R. and Stamenovic´, Dimitrije}, year={2000}, month=mar, pages={347–353} }

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