Multiscale FE-modeling of native and engineered articular cartilage tissue

ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

Volumn , Issue , 2004, Pages

  Görke, Uwe Jens ^a,b   Günthr, Hubert ^c   Wimmer, Markus A ^d  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

^b AO RESEARCH INSTITUTE   (Switzerland)

^c TBZ Pariv   (Germany)

^d RUSH UNIVERSITY MEDICAL CENTER   (United States)

Author keywords

Multiscale model poroelasticity; Tissue engineering articular cartilage finite element method

Indexed keywords

ARTICULAR CARTILAGES; CYLINDRICAL SPECIMENS; ENGINEERED CARTILAGE; MECHANICAL BEHAVIOR; MIXED FINITE ELEMENTS; PORO-ELASTICITY; SATURATED POROUS MEDIA; STRESS-STRAIN FIELD;

BODY FLUIDS; BOUNDARY CONDITIONS; CARTILAGE; COMPUTATIONAL METHODS; ELASTICITY; FINITE ELEMENT METHOD; STRUCTURAL DESIGN; TISSUE ENGINEERING;

TISSUE;

EID: 84893478039     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (50)

1. F. Guilak and V.C. Mow. Determination of the mechanical response of the chondrocyte in situ using finite element modeling and confocal microscopy. ASME Advances in Bioengineering BED-20, 21-23, 1992.
2. F. Guilak and V.C. Mow. The mechanical environment of the chondrocyte: a biphasic finite element model of cell-matrix interactions in articular cartilage. J. Biomech., 33, 1663-1673, 2000.
3. A. Maroudas. Physico-chemical Properties of Articular Cartilage. In: Adult Articular Cartilage, M.A.R. Freeman (Ed.), Pitman Medical, 215-290, 1979.
4. V.C. Mow, S.C. Kuei, W.M. Lai and C.G. Armstrong. Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J. Biomech. Eng., 102, 73-84, 1980.
5. V.C. Mow and A. Ratcliffe. Structure and Function of Articular Cartilage and Meniscus. In: Basic Orthopaedic Biomechanics, V.C. Mow and W.C. Hayes (Eds.), Raven Press, 113-178, 1997.
6. M.A. Biot. General theory of three-dimensional consolidation. J. Appl. Phys., 12, 155-164, 1941.
7. C. Truesdell and R.A. Toupin. The classical field theories. In: Handbuch der Physik, S. Flügge (Ed.), Springer-Verlag, 1960.
8. R.M. Bowen. Theory of Mixture. In: Continuum Physics, Eringen (Ed.). Academic Press, 1-127, 1976.
9. R.M. Bowen. Incompressible Porous Media Models by Use of the Theory of Mixtures. Int. J. Eng. Sci, 18, 1129-1148, 1980.
10. P. Prevost. Mechanics of continuous porous media. Int. J. Eng. Sci., 18, 787-800, 1980.
11. W. Ehlers. Grundlegende Konzepte in der Theorie Poröser Medien. Technische Mechanik, 16, 63-76, 1996.
12. W. Ehlers and B. Markert. A Linear Viscoelastic Biphasic Model for Soft Tissues Based on the Theory of Porous Media. J. Biomech. Eng., 123, 418-424, 2001.
13. W.M. Lai, V.C. Mow and V. Roth. Effects of nonlinear strain dependent permeability and rate of compression on the stress behavior of articular cartilage. J. Biomech. Eng., 103, 61-66, 1981.
14. M.H. Holmes. Finite deformation of soft tissue: Analysis of a mixture model in uniaxial compression. J. Biomech. Eng., 108, 372-381, 1986.
15. A.F. Mak. Unconfined Compression of Hydrated Soft Viscoelastic Tissues: A Biplia-sic Poroviscoelastic Analysis. Biorheology, 23, 371-383, 1986.
16. R.L. Spilker, J.-K. Suli and V.C. Mow. A Finite Element Formulation of the Nonlinear Biphasic Model for Articular Cartilage and Hydrated Soft Tissues Including Strain-dependent Permeability. J. Biomech. Eng., 114, 191-201, 1992.
17. B.R. Simon. Multiphase poroelastic finite element models for soft tissue structures. Appl. Mech. Rev., 45, 191-218, 1992.
18. M.A. Soltz and G.A. Ateshian. A Conewise Linear Elasticity Mixture Model for the Analysis of Tension-Compression Nonlinearity in Articular Cartilage. J. Biomech. Eng., 122, 576-586, 2000.
19. C.-Y. Huang, M.A. Soltz, M. Kopacz, V.C. Mow and G.A. Ateshian. Experimental Verification of the Roles of Intrinsic Matrix Viscoelasticity and Tension-Compression Nonlinearity in the Biphasic Response of Cartilage. J. Biomech. Eng., 125, 84-93, 2003.
20. J.S. Jurvelin, M.D. Buschmann and E.B. Hunzicker. Mechanical Anisotropy of Human Knee Articular Cartilage in Compression. Trans. Annu. Meet. - Orthop. Res. Soc, 21, 7, 1996.
21. R.M. Schinagl, 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.
22. W.C. Hayes and A.J. Bodine. Flow-Independent Viscoelastic Properties of Articular Cartilage Matrix. J. Biomech., 11, 407-419, 1978.
23. A.J. Grodzinsky, H. Lipshitz and M.J. Glimcher. Electromechanical Properties of Articular Cartilage During Compression and Stress Relaxation. Nature (London), 275, 448-450, 1978.
24. L.A. Setton, W. Zhu and V.C. Mow. The Biphasic Poroviscoelastic Behavior of Articular Cartilage: Role of the Surface Zone in Governing the Compressive Behavior. J. Biomech., 26, 581-592, 1993.
25. J. Soulhat, M.D. Buschmann and A. Shirazi-Adl. A Fibril-Network Reinforced Model of Cartilage in Unconfined Compression. J. Biomech. Eng., 121, 340-347, 1999.
26. C.-Y. Huang, A. Stankiewicz, G.A. Ateshian, E.L. Flatow, L.U. Bigliani and V.C. Mow. Anisotropy, Inhomogeneity, and Tension-Compression Nonlinearity of Human Glenohumeral Cartilage in Finite Deformation. Trans. Annu. Meet. - Orthop. Res Soc 24, 95, 1999
27. C. Truesdell and W. Noll. The non-linear field theories of mechanics In: Handbuch der Physik, S. Flügge (Ed) Springer-Verlag 1965
28. G.F. Smith. On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. Int. J. Engrg. Sci, 9, 899-916 1971
29. A.J.M. Spencer. Isotropic polynomial invariants and tensor functions. In: Applications of Tensor Functions in Solid Mechanics, JP. Boehler (Ed), Springer-Verlag 1987.
30. J.P. Boehler. Applications of Tensor Functions in Solid Mechanics SpringerVerlag 1987.
31. J.M. Ball. Convexity conditions and existence theorems in non-linear elasticity. Arch Rat. Mech. Anal 63 337-403, 1977
32. P.G. Ciarlet. Mathematical Elasticity, Elesevier 1988
33. J. Schröder and P. Neff. Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions. Int. J. Solids Struct 40, 401-445 2003
34. A. Curnier, Q.C. He and P. Zysset Conewise Linear Elastic Materials. J. Elast, 37, 1-38 1995
35. A. J. Grodzinsky, M.E. Levenston, M. Jin and E.H. Frank. Cartilage tissue remodeling in response to mechanical forces. Annu. Rev. Biomed. Eng, 7 691-713 2000
36. L. Taber. Biomechanics of growth, remodeling and morphogenesis. Appl. Mech. Rev 48 487-545 1995
37. J.D. Humphrey and K.R. Rajagopal. A Constrained Mixture Model for Growth and Remodeling of Soft Tissues. Math. Mod. Meth. Appl. Sci 12(3) 47-43 2002
38. S.M. Klisch, SS. Chen, R.L. Sah and A. Hoger. A Growth Mixture Theory for Cartilage With Application to Growth-Related Experiments on Cartilage Expiants J. Biomech. Eng., 125 169-179 2003
39. H. Günther, U.-J. Görke. On the Constitutive Behaviour of BoneImplant Interface Tissues. In: Proceedings of the 12th Conference of the European Society of Biome chanics Dublin, Royal Academy of Medicine in Ireland, 243 2000.
40. P.J. Prendergast, W.D. van Driel and J.-H. Kuiper. A comparison of finite element codes for the solution of biphasic poroelastic problems. Journal of Engineering in Medicine; Proc. I. Mech. E.: Part H, 210, 124-130, 1996.
41. Y.J. Kim, R.L. Sah, A.J. Grodzinsky, A.H. Plass and J.D. Sandy. Biomechanical Regulation of Cartilage Biosynthetic Behavior: Physical Stimuli. Arch. Biochem. Biophys., 311, 1-12, 1994.
42. A.D. Buschmann, Y.A. Gluzband, A.J. Grodzinsky and E.B. Hunziker. Mechanical compression modulates matrix biosynthesis in chondrocyte/agarose culture. J. Cell Sci, 108, 1497-1508, 1995.
43. F. Guilak, B.C. Meyer, A. Ratcliff and V.C. Mow. Chondrocyte deformation and local tissue strain in articular cartilage: a confocal microscopy study. J. Orthop. Res., 13, 410-421, 1995.
44. W.R. Jones, H.P. Ting-Beall, G.M. Lee, S.S. Kelley, R.M. Hochmuth and F. Guilak. Alteration in the Young's modulus and volumetric properties of chondrocytes isolated from normal and ostheoarthritic human cartilage. J. Biomech., 32, 119-127, 1999.
45. S. Grad, L. Zhou, M.A. Wimmer and M. Alini. Evaluation of bioresorbable polymer scaffolds for cartilage tissue engineering. European Cells & Materials, 1(Suppl. 2), 59, 2001.
46. S. Grad, L. Zhou, S. Gogolewski and M. Alini. Chondrocytes seeded onto poly(L/DL-lactide) 80%/20% porous scaffolds: A biochemical evaluation. J. Biomed. Mater. Res., 66A(3), 571-579, 2003.
47. S. Grad, L. Kupcsik, K. Gorna, S. Gogolewski and M. Alini. The use of biodegradable Polyurethane scaffolds for cartilage tissue engineering: potential and limitations. Biomaterials, 24, 5163-5171, 2003.
48. R. Krishnan, S. Park, M.A. Soltz, R.S. Pawluk and G.A. Ateshian. Depth-Dependent Tensile and Compessive Properties of Human Patellofemoral Joint Cartilage. Bioengineering Conference, ASME 2001, BED-Vol. 50, 847-848, 2001.
49. C.C.-B. Wang, N.O. Chahine, C.T. Hung and G.A. Athesian. Optical determination of anisotropic material properties of bovine articular cartilage in compression. J. Biomech., 36, 339-353, 2003.
50. D.M. Gore, G.R. Higginson and R.J. Minns. Compliance of articular cartilage and its variation through the thickness. Phys. Med. Biol., 28, 232-247, 1983.