The correspondence between equilibrium biphasic and triphasic material properties in mixture models of articular cartilage

Journal of Biomechanics

Volumn 37, Issue 3, 2004, Pages 391-400

  Ateshian, Gerard A ^a,b   Chahine, Nadeen O ^a   Basalo, Ines M ^a   Hung, Clark T ^a  

^a Och Spine at New York Presbyterian Hospitals   (United States)

^b Mail Code 4703 ^*  (United States)

Author keywords

Biphasic theory; Cartilage mechanics; Triphasic theory

Indexed keywords

BONE; MATHEMATICAL MODELS; SHEAR STRESS; TENSILE STRENGTH;

BIPHASIC MIXTURE MODEL;

BIOMECHANICS;

COLLAGEN; PROTEOGLYCAN;

ARTICLE; ARTICULAR CARTILAGE; COMPRESSIVE STRENGTH; DENSITY; INTERSTITIAL FLUID; LIQUID; LOADING TEST; MATERIALS TESTING; MODEL; PERMEABILITY; POROSITY; PRIORITY JOURNAL; SHEAR STRENGTH; TENSILE STRENGTH;

EID: 0742321990     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9290(03)00252-5     Document Type: Article

References (45)

1. Ateshian G.A., Soltz M.A., Mauck R.L., Basalo I.M., Hung C.T., Lai W.M. The role of osmotic pressure and tension-compression nonlinearity in the frictional response of articular cartilage. Transport in Porous Media. 50:2003;5-33.
2. Basser P.J., Schneiderman R., Bank R.A., Wachtel E., Maroudas A. Mechanical properties of the collagen network in human articular cartilage as measured by osmotic stress technique. Archives of Biochemistry and Biophysics. 351:1998;207-219.
3. Bursac P.M., Obitz T.W., Eisenberg S.R., Stamenovic D. Confined and unconfined stress relaxation of cartilage. appropriateness of a transversely isotropic analysis Journal of Biomechanics. 32:1999;1125-1130.
4. Bursac P., McGrath C.V., Eisenberg S.R., Stamenovic D. A microstructural model of elastostatic properties of articular cartilage in confined compression. Journal of Biomechanical Engineering. 122:2000;347-353.
5. Buschmann M.D., Grodzinsky A.J. A molecular model of proteoglycan- associated electrostatic forces in cartilage mechanics. Journal of Biomechanical Engineering. 117:1995;179-192.
6. Chahine, N.O., Wang, C.C.B., Hung, C.T., Ateshian, G.A., 2002a. Determination of Poisson's ratios of bovine articular cartilage in tension and compression using osmotic and mechanical loading. In: Proceedings of the ASME International Mechanical Engineering Congress and Exposition, BED, pp. 32622.
7. Chahine, N.O., Wang, C.C.B., Mason, J.H., Lai, W.M., Hung, C.T., Ateshian, G.A., 2002b. The roles of osmotic swelling pressure and tension-compression nonlinearity on stress-strain responses of bovine articular cartilage. In: Proceedings of the 48th Annual Meeting of the Orthopaedic Research Society, pp. 0083.
8. Chen S.S., Falcovitz Y.H., Schneiderman R., Maroudas A., Sah R.L. Depth-dependent compressive properties of normal aged human femoral head articular cartilage. relationship to fixed charge density Osteoarthritis Cartilage. 9:2001;561-569.
9. Cohen B., Lai W.M., Mow V.C. A transversely isotropic biphasic model for unconfined compression of growth plate and chondroepiphysis. Journal of Biomechanical Engineering. 120:1998;491-496.
10. Curnier A., He Q.C., Zysset P. Conewise linear elastic materials. Journal of Elasticity. 37:1995;1-38.
11. Eisenberg S.R., Grodzinsky A.J. Swelling of articular cartilage and other connective tissues. electromechanochemical forces Journal of Orthopaedic Research. 3:1985;148-159.
12. Elliott D.M., Narmoneva D.A., Setton L.A. Direct measurement of the Poisson's ratio of human patella cartilage in tension. Journal of Biomechanical Engineering. 124:2002;223-228.
13. Frank E.H., Grodzinsky A.J. Cartilage electromechanics - II. A continuum model of cartilage electrokinetics and correlation with experiments. Journal of Biomechanics. 20:1987;629-639.
14. Frank E.H., Grodzinsky A.J. Cartilage electromechanics - I. Electrokinetic transduction and the effects of electrolyte pH and ionic strength. Journal of Biomechanics. 20:1987;615-627.
15. Gu W.Y., Lai W.M., Mow V.C. Transport of fluid and ions through a porous-permeable charged-hydrated tissue, and streaming potential data on normal bovine articular cartilage. Journal of Biomechanics. 26:1993;709-723.
16. Gu W.Y., Lai W.M., Mow V.C. A mixture theory for charged-hydrated soft tissues containing multi-electrolytes. passive transport and swelling behaviors Journal of Biomechanical Engineering. 120:1998;169-180.
17. Hou J.S., Holmes M.H., Lai W.M., Mow V.C. Boundary conditions at the cartilage-synovial fluid interface for joint lubrication and theoretical verifications. Journal of Biomechanical Engineering. 111:1989;78-87.
18. Jurvelin J.S., Buschmann M.D., Hunziker E.B. Optical and mechanical determination of Poisson's ratio of adult bovine humeral articular cartilage. Journal of Biomechanics. 30:1997;235-241.
19. Kempson G.E., Muir H., Swanson S.A., Freeman M.A. Correlations between stiffness and the chemical constituents of cartilage on the human femoral head. Biochimica et Biophysica Acta. 215:1970;70-77.
20. Khalsa P.S., Eisenberg S.R. Compressive behavior of articular cartilage is not completely explained by proteoglycan osmotic pressure. Journal of Biomechanics. 30:1997;589-594.
21. Kovach I.S. A molecular theory of cartilage viscoelasticity. Biophysical Chemistry. 59:1996;61-73.
22. Lai W.M., Hou J.S., Mow V.C. A triphasic theory for the swelling and deformation behaviors of articular cartilage. Journal of Biomechanical Engineering. 113:1991;245-258.
23. Lee R.C., Frank E.H., Grodzinsky A.J., Roylance D.K. Oscillatory compressional behavior of articular cartilage and its associated electromechanical properties. Journal of Biomechanical Engineering. 103:1981;280-292.
24. LeRoux M.A., Arokoski J., Vail T.P., Guilak F., Hyttinen M.M., Kiviranta I., Setton L.A. Simultaneous changes in the mechanical properties, quantitative collagen organization, and proteoglycan concentration of articular cartilage following canine meniscectomy. Journal of Orthopaedic Research. 18:2000;383-392.
25. Li L.P., Soulhat J., Buschmann M.D., Shirazi-Adl A. Nonlinear analysis of cartilage in unconfined ramp compression using a fibril reinforced poroelastic model. Clinical Biomechanics (Bristol, Avon). 14:1999;673-682.
26. Maroudas A.I. Balance between swelling pressure and collagen tension in normal and degenerate cartilage. Nature. 260:1976;808-809.
27. Maroudas A. Physicochemical properties of articular cartilage. Freeman M.A.R. Adult Articular Cartilage. 1979;215-290 Pitman Medical, Kent.
28. Mow V.C., Kuei S.C., Lai W.M., Armstrong C.G. Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments. Journal of Biomechanical Engineering. 102:1980;73-84.
29. Mow V.C., Setton L.A., Ratcliffe A., Buckwalter J.A., Howell D.S. Structure-function relationships for articular cartilage and effects of joint instability and trauma on cartilage function. Brandt K.D. Cartilage Changes in Osteoarthritis. 1990;22-42 Indiana University School of Medicine Press, Indiana.
30. Myers E.R., Lai W.M., Mow V.C. A continuum theory and an experiment for the ion-induced swelling behavior of articular cartilage. Journal of Biomechanical Engineering. 106:1984;151-158.
31. Narmoneva D.A., Wang J.Y., Setton L.A. Nonuniform swelling-induced residual strains in articular cartilage. Journal of Biomechanics. 32:1999;401-408.
32. Narmoneva D.A., Wang J.Y., Setton L.A. A noncontacting method for material property determination for articular cartilage from osmotic loading. Biophysical Journal. 81:2001;3066-3076.
33. Rivers P.A., Rosenwasser M.P., Mow V.C., Pawluk R.J., Strauch R.J., Sugalski M.T., Ateshian G.A. Osteoarthritic changes in the biochemical composition of thumb carpometacarpal joint cartilage and correlation with biomechanical properties. Journal of Hand Surgery [American Volume]. 25:2000;889-898.
34. Schinagl R.M., Gurskis D., Chen A.C., Sah R.L. Depth-dependent confined compression modulus of full-thickness bovine articular cartilage. Journal of Orthopaedic Research. 15:1997;499-506.
35. Schwartz M.H., Leo P.H., Lewis J.L. A microstructural model for the elastic response of articular cartilage. Journal of Biomechanics. 27:1994;865-873.
36. Setton L.A., Tohyama H., Mow V.C. Swelling and curling behaviors of articular cartilage. Journal of Biomechanical Engineering. 120:1998;355-361.
37. Soltz M.A., Ateshian G.A. Experimental verification and theoretical prediction of cartilage interstitial fluid pressurization at an impermeable contact interface in confined compression. Journal of Biomechanics. 31:1998;927-934.
38. Soltz M.A., Ateshian G.A. A conewise linear elasticity mixture model for the analysis of tension-compression nonlinearity in articular cartilage. Journal of Biomechanical Engineering. 122:2000;576-586.
39. Soltz M.A., Ateshian G.A. Interstitial fluid pressurization during confined compression cyclical loading of articular cartilage. Annals of Biomedical Engineering. 28:2000;150-159.
40. Soulhat J., Buschmann M.D., Shirazi-Adl A. A fibril-network-reinforced biphasic model of cartilage in unconfined compression. Journal of Biomechanical Engineering. 121:1999;340-347.
41. Sun D.N., Gu W.Y., Guo X.E., Lai W.M., Mow V.C. A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated soft tissues. International Journal for Numerical Methods in Engineering. 45:1999;1375-1402.
42. Wang C.C.B., Chahine N.O., Hung C.T., Ateshian G.A. Optical determination of anisotropic properties of bovine articular cartilage in compression. Journal of Biomechanics. 36:2003;339-353.
43. Wong M., Ponticiello M., Kovanen V., Jurvelin J.S. Volumetric changes of articular cartilage during stress relaxation in unconfined compression. Journal of Biomechanics. 33:2000;1049-1054.
44. Woo S.L., Lubock P., Gomez M.A., Jemmott G.F., Kuei S.C., Akeson W.H. Large deformation nonhomogeneous and directional properties of articular cartilage in uniaxial tension. Journal of Biomechanics. 12:1979;437-446.
45. Zhu W., Mow V.C., Koob T.J., Eyre D.R. Viscoelastic shear properties of articular cartilage and the effects of glycosidase treatments. Journal of Orthopaedic Research. 11:1993;771-781.