On the thermodynamical admissibility of the triphasic theory of charged hydrated tissues

Journal of Biomechanical Engineering

Volumn 131, Issue 4, 2009, Pages

  Huyghe, J M ^a   Wilson, W ^a   Malakpoor, K ^b  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Cartilage; Chemical expansion stress; Ionization; Osmosis; Porous medium; Swelling

Indexed keywords

ARTICULAR CARTILAGES; CHEMICAL EXPANSION; CHEMICAL EXPANSION STRESS; CHEMICAL LOADING; CLOSED CYCLE; DEFORMATION BEHAVIOR; DIFFERENT MECHANISMS; EXCLUDED VOLUME EFFECTS; HYDRATED TISSUES; LOADING AND UNLOADING; POROUS MEDIUM; SECOND LAW OF THERMODYNAMICS;

CARTILAGE; FREE ENERGY; HISTOLOGY; HYDRATES; HYDRATION; IONIZATION; LIGAMENTS; LOADING; OSMOSIS; PARTICLE DETECTORS; POROUS MATERIALS; STRESS ANALYSIS; THERMODYNAMICS; ULTRASONIC MEASUREMENT; UNLOADING;

SWELLING;

ARTICLE; ARTICULAR CARTILAGE; HYDRATION; IONIZATION; MECHANICAL STRESS; OSMOSIS; POROSITY; THERMODYNAMICS; BIOLOGICAL MODEL; BIOMECHANICS; COMPRESSIVE STRENGTH; ELASTICITY; PHYSIOLOGY; TENSILE STRENGTH;

BIOMECHANICS; CARTILAGE, ARTICULAR; COMPRESSIVE STRENGTH; ELASTICITY; MODELS, BIOLOGICAL; OSMOSIS; STRESS, MECHANICAL; TENSILE STRENGTH; THERMODYNAMICS;

EID: 67049143559     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.3049531     Document Type: Article

References (27)

1. 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. (Pubitemid 11015420)
2. Wilson, W., Huyghe, J. M., and van Donkelaar, C. C., 2006, "A Composition-Based Cartilage Model for the Assessment of Compositional Changes During Cartilage Damage and Adaptation," Osteoarthritis Cartilage, 14, pp. 554-560.
3. Eisenberg, S. R., and Grodzinsky, A. J., 1985, "Swelling of Articular Cartilage and Other Connective Tissues: Electromechanical Forces," J. Orthop. Res., 3, pp. 148-159.
4. Eisenberg, S. R., and Grodzinsky, A. J., 1987, "The Kinetics of Chemically Induced Nonequilibrium Swelling of Articular Cartilage and Corneal Stroma," ASME J. Biomech. Eng., 109, pp. 79-89.
5. Lai, W. M., Hou, J. S., and Mow, V. C., 1991, "A Triphasic Theory for the Swelling and Deformation Behaviors of Articular Cartilage," ASME J. Biomech. Eng., 113, pp. 245-258.
6. Hascall, V. C., and Hascall, G. K., 1983, "Proteoglycans," Cell Biology of Extracellular Matrix, 1st ed., E. D. Hay, ed., Plenum, New York, pp. 39-60.
7. Muir, H., 1983, "Proteoglycans as Organizers of the Extracellular Matrix," Biochem. Soc. Trans., 11, pp. 613-622.
8. Jin, M. S., and Grodzinsky, A. J., 2001, "Effect of Electrostatic Interactions Between Glycosaminoglycans on the Shear Stiffness of Cartilage," Macromolecules, 34, pp. 8330-8339.
9. Lanir, Y., 1987, "Biorheology and Fluid Flux in Swelling Tissues. I. Bicomponent Theory for Small Deformations, Including Concentration Effects," Biorheology, 24, pp. 173-187.
10. Lai, W. M., Gu, W., Setton, L., and Mow, V. C., 1991, "Conditional Equivalence of Chemical Loading and Mechanical Loading on Articular Cartilage," Adv. Bioeng., 20, pp. 481-484.
11. Setton, L. A., Lai, W. M., and Mow, V. C., 1993, "Swelling Induced Residual Stress and the Mechanism of Curling in Articular Cartilage," Adv. Bioeng., 26, pp. 59-62.
12. Gu, W. Y., Lai, W. M., and Mow, V. C., 1993, "Transport of Fluid and Ions Through a Porous-Permeable Charged-Hydrated Tissue, and Streaming Potential Data on Normal Bovine Articular Cartilage," J. Biomech., 26(6), pp. 709-723.
13. Gu, W. Y., Lai, W. M., and Mow, V. C., 1997, "A Triphasic Analysis of Negative Osmotic Flows Through Charged Hydrated Soft Tissues," J. Biomech., 30(1), pp. 71-78.
14. Simon, B. R., Liable, J. P., Pflaster, D., Yuan, Y., and Krag, M. H., 1996, "A Poroelastic Finite Element Formulation Including Transport and Swelling in Soft Tissue Structures," ASME J. Biomech. Eng., 118, pp. 1-9. (Pubitemid 26087276)
15. Lai, W. M., Gu, W. Y., and Mow, V. C., 1998, "On the Conditional Equivalence of Chemical Loading and Mechanical Loading in Articular Cartilage," J. Biomech., 31(12), pp. 1181-1185.
16. Sun, D. N., Gu, W. Y., Lai, W. M., and Mow, V. C., 1999, "A Mixed Finite Element Formulation of Triphasic Mechano-Electrochemical Theory for Charged, Hydrated Biological Soft Tissues," Int. J. Numer. Methods Eng., 45(10), pp. 1375-1402.
17. Schugart, R. C., 2005, "Mathematical Models and Numerical Methods for Analysis of Mechanical and Chemical Loading in Articular Cartilage," Ph.D. thesis, North Carolina State University, Raleigh.
18. Huyghe, J. M., and Janssen, J. D., 1997, "Quadriphasic Mechanics of Swelling Incompressible Porous Media," Int. J. Eng. Sci., 35, pp. 793-802.
19. Gu, W. Y., Lai, W. M., and Mow, V. C., 1998, "A Mixture Theory for Charged-Hydrated Soft Tissues Containing Multi-Electrolytes: Passive Transport and Swelling Behaviors," ASME J. Biomech. Eng., 120, pp. 169-180.
20. Frijns, A. J. H., Huyghe, J. M., and Janssen, J. D., 1997, "A Validation of the Quadriphasic Mixture Theory for Intervertebral Disc Tissue," Int. J. Eng. Sci., 35, pp. 1419-1429.
21. van Loon, R., Huyghe, J. M., Wijlaars, M. W., and Baaijens, F. P. T., 2003, "3d fe Implementation of an Incompressible Quadriphasic Mixture Model," Int. J. Numer. Methods Eng., 57, pp. 1243-1258.
22. van Meerveld, J., Molenaar, M. M., Huyghe, J. M., and Baaijens, F. T. P., 2003, "Analytical Solution of Compression, Free Swelling and Electrical Loading of Saturated Charged Porous Media," Transp. Porous Media, 50, pp. 111-126.
23. Iatridis, J. C., Laible, J. P., and Krag, M. H., 2003, "Influence of Fixed Charge Density Magnitude and Distribution on the Intervertebral Disc: Applications of a Poroelastic and Chemical Electric (Peace) Model," ASME J. Biomech. Eng., 125, pp. 12-24.
24. Lu,X. L., Sun, D. D. N., Guo, E., Chen, F. H., Lai, W. M., and Mow, V. C., 2004, "Indentation Determined Mechanoelectrochemical Properties and Fixed Charge Density of Articular Cartilage," Ann. Biomed. Eng., 32:370-379.
25. Ateshian, G. A., Chahine, N. O., Basalo, I. M., and Hung, C. T., 2004, "The Correspondence Between Equilibrium Biphasic Material Properties in Mixture Models of Articular Cartilage," J. Biomech., 37, pp. 391-400.
26. Wilson, W., van Donkelaar, C. C., and Huyghe, J. M., 2005, "A Comparison Between Mechano-Electrochemical and Biphasic Swelling Theories for Soft Hydrated Tissues," ASME J. Biomech. Eng., 127, pp. 158-165.
27. Haider, M. A., Schugart, R. C., Setton, L. A., and Guilak, F., 2006, "A Mechano-Chemical Model for the Passive Swelling Response of an Isolated Chondron Under Osmotic Loading," Biomech. Model. Mechanobiol., 5, pp. 160-171. (Pubitemid 43787099)