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Volumn 135, Issue 11, 2013, Pages

Multiphasic finite element framework for modeling hydrated mixtures with multiple neutral and charged solutes

Author keywords

[No Author keywords available]

Indexed keywords

CONSTITUTIVE RELATIONS; FINITE ELEMENT SOFTWARE; GENERALIZED FINITE ELEMENTS; GROWTH AND REMODELING; KEDEM-KATCHALSKY MODEL; NATURAL BOUNDARY CONDITION; SOLUTE CONCENTRATIONS; VERIFICATION PROBLEMS;

EID: 84887848215     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4024823     Document Type: Article
Times cited : (55)

References (77)
  • 3
    • 0017269080 scopus 로고
    • Transient filtration in a porous elastic cylinder
    • Kenyon, D. E., 1976, "Transient Filtration in a Porous Elastic Cylinder, " ASME J. Appl. Mech., 43(4), pp. 594-598.
    • (1976) ASME J. Appl. Mech. , vol.43 , Issue.4 , pp. 594-598
    • Kenyon, D.E.1
  • 4
    • 0018983548 scopus 로고
    • Biphasic creep and stress relaxation of articular cartilage in compression: Theory and experiments
    • Mow V. C., Kuei, S. C., Lai, W. M., and Armstrong, C. G., 1980, "Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and Experiments, " ASME J. Biomech. Eng. 102(1) pp. 73-84. (Pubitemid 11082099)
    • (1980) Journal of Biomechanical Engineering , vol.102 , Issue.1 , pp. 73-84
    • Mow, V.C.1    Kuei, S.C.2    Lai, W.M.3    Armstrong, C.G.4
  • 5
    • 0021428157 scopus 로고
    • An analysis of the unconfined compression of articular cartilage
    • Armstrong, C. G., Lai, W. M., and Mow, V. C., 1984, "An Analysis of the Unconfined Compression of Articular Cartilage, " ASME J. Biomech. Eng., 106(2), pp. 165-173. (Pubitemid 14022391)
    • (1984) Journal of Biomechanical Engineering , vol.106 , Issue.2 , pp. 165-173
    • Armstrong, C.G.1    Lai, W.M.2    Mow, V.C.3
  • 6
    • 0025241673 scopus 로고
    • The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration
    • Holmes, M. H., and Mow, V. C., 1990, "The Nonlinear Characteristics of Soft Gels and Hydrated Connective Tissues in Ultrafiltration, " J. Biomech., 23(11), pp. 1145-1156.
    • (1990) J. Biomech. , vol.23 , Issue.11 , pp. 1145-1156
    • Holmes, M.H.1    Mow, V.C.2
  • 7
    • 0026203776 scopus 로고
    • A triphasic theory for the swelling and deformation behaviors of articular cartilage
    • 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. Bio-mech. Eng., 113(3), pp. 245-258.
    • (1991) ASME J. Bio-mech. Eng. , vol.113 , Issue.3 , pp. 245-258
    • Lai, W.M.1    Hou, J.S.2    Mow, V.C.3
  • 8
    • 0031150114 scopus 로고    scopus 로고
    • Quadriphasic mechanics of swelling incompressible porous media
    • PII S002072259600119X
    • Huyghe, J. M., and Janssen, J. D., 1997, "Quadriphasic Mechanics of Swelling Incompressible Porous Media, " Int. J. Eng. Sci., 35(8), pp. 793-802. (Pubitemid 127412455)
    • (1997) International Journal of Engineering Science , vol.35 , Issue.8 , pp. 793-802
    • Huyghe, J.M.1    Janssen, J.D.2
  • 9
    • 0027609096 scopus 로고
    • Transport of fluid and ions through a porous-permeable charged-hydrated tissue, and streaming potential data on normal bovine articular cartilage
    • DOI 10.1016/0021-9290(93)90034-C
    • 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. (Pubitemid 23162359)
    • (1993) Journal of Biomechanics , vol.26 , Issue.6 , pp. 709-723
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 10
    • 0031060066 scopus 로고    scopus 로고
    • A triphasic analysis of negative osmotic flows through charged hydrated soft tissues
    • DOI 10.1016/S0021-9290(96)00099-1, PII S0021929096000991
    • 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. (Pubitemid 26421557)
    • (1997) Journal of Biomechanics , vol.30 , Issue.1 , pp. 71-78
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 11
    • 0033804688 scopus 로고    scopus 로고
    • On the electric potentials inside a charged soft hydrated biological tissue: Streaming potential versus diffusion potential
    • Lai, W. M., Mow, V. C., Sun, D. D., and Ateshian, G. A., 2000, "On the Electric Potentials Inside a Charged Soft Hydrated Biological Tissue: Streaming Potential Versus Diffusion Potential, " ASME J. Biomech. Eng., 122(4), pp. 336-346.
    • (2000) ASME J. Biomech. Eng. , vol.122 , Issue.4 , pp. 336-346
    • Lai, W.M.1    Mow, V.C.2    Sun, D.D.3    Ateshian, G.A.4
  • 12
    • 2442528180 scopus 로고    scopus 로고
    • The influence of the fixed negative charges on mechanical and electrical behaviors of articular cartilage under unconfined compression
    • DOI 10.1115/1.1644562
    • Sun, D. D., Guo, X. E., Likhitpanichkul, M., Lai, W. M., and Mow, V. C., 2004, "The Influence of the Fixed Negative Charges on Mechanical and Electrical Behaviors of Articular Cartilage Under Unconfined Compression, " ASME J. Biomech. Eng., 126(1), pp. 6-16. (Pubitemid 38649187)
    • (2004) Journal of Biomechanical Engineering , vol.126 , Issue.1 , pp. 6-16
    • Sun, D.D.1    Guo, X.E.2    Likhitpanichkul, M.3    Lai, W.M.4    Mow, V.C.5
  • 13
    • 2942534383 scopus 로고    scopus 로고
    • Indentation determined mechanoelectrochemical properties and fixed charge density of articular cartilage
    • Lu, X. L., Sun, D. D. N., Guo, X. 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(3), pp. 370-379.
    • (2004) Ann. Biomed. Eng. , vol.32 , Issue.3 , pp. 370-379
    • Lu, X.L.1    Sun, D.D.N.2    Guo, X.E.3    Chen, F.H.4    Lai, W.M.5    Mow, V.C.6
  • 14
    • 77954682498 scopus 로고    scopus 로고
    • A triphasic orthotropic laminate model for cartilage curling behavior: Fixed charge density versus mechanical properties inhomogeneity
    • Wan, L. Q., Guo, X. E., and Mow, V. C., 2010, "A Triphasic Orthotropic Laminate Model for Cartilage Curling Behavior: Fixed Charge Density Versus Mechanical Properties Inhomogeneity, " ASME J. Biomech. Eng., 132(2), p. 024504.
    • (2010) ASME J. Biomech. Eng. , vol.132 , Issue.2 , pp. 024504
    • Wan, L.Q.1    Guo, X.E.2    Mow, V.C.3
  • 15
    • 33744459975 scopus 로고    scopus 로고
    • The effect of matrix tension-compression nonlinearity and fixed negative charges on chondrocyte responses in cartilage
    • Likhitpanichkul, M., Guo, X. E., and Mow, V. C., 2005, "The Effect of Matrix Tension-Compression Nonlinearity and Fixed Negative Charges on Chondro-cyte Responses in Cartilage, " Mol. Cell Biomech., 2(4), pp. 191-204. (Pubitemid 44794897)
    • (2005) MCB Molecular and Cellular Biomechanics , vol.2 , Issue.4 , pp. 191-204
    • Likhitpanichkul, M.1    Guo, X.E.2    Mow, V.C.3
  • 16
    • 33646875742 scopus 로고    scopus 로고
    • A mechano-chemical model for the passive swelling response of an isolated chondron under osmotic loading
    • DOI 10.1007/s10237-006-0026-1
    • 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(2-3), pp. 160-171. (Pubitemid 43787099)
    • (2006) Biomechanics and Modeling in Mechanobiology , vol.5 , Issue.2-3 , pp. 160-171
    • Haider, M.A.1    Schugart, R.C.2    Setton, L.A.3    Guilak, F.4
  • 17
    • 0031357213 scopus 로고    scopus 로고
    • A validation of the quadriphasic mixture theory for intervertebral disc tissue
    • PII S0020722597000475
    • Frijns, A. J. H., Huyghe, J. M., and Janssen, J. D., 1997, "Validation of the Quadriphasic Mixture Theory for Intervertebral Disc Tissue, " Int. J. Eng. Sci., 35(15), pp. 1419-1429. (Pubitemid 127400432)
    • (1997) International Journal of Engineering Science , vol.35 , Issue.15 , pp. 1419-1429
    • Frijns, A.J.H.1    Huyghe, J.M.2    Janssen, J.D.3
  • 18
    • 4544356375 scopus 로고    scopus 로고
    • An ionised/nonionised dual porosity model of intervertebral disc tissue: Experimental quantification of parameters
    • Huyghe, J. M., Houben, G. B., Drost, M. R., and van Donkelaar, C. C., 2004, "An Ionised/Nonionised Dual Porosity Model of Intervertebral Disc Tissue: Experimental Quantification of Parameters, " Biomech. Model. Mechanobiol., 2(4), pp. 3-19.
    • (2004) Biomech. Model. Mechanobiol. , vol.2 , Issue.4 , pp. 3-19
    • Huyghe, J.M.1    Houben, G.B.2    Drost, M.R.3    Van Donkelaar, C.C.4
  • 20
    • 0032103899 scopus 로고    scopus 로고
    • A triphasic analysis of corneal swelling and hydration control
    • Bryant, M. R., and McDonnell, P. J., 1998, "A Triphasic Analysis of Corneal Swelling and Hydration Control, " ASME J. Biomech. Eng., 120(3), pp. 370-381. (Pubitemid 28309010)
    • (1998) Journal of Biomechanical Engineering , vol.120 , Issue.3 , pp. 370-381
    • Bryant, M.R.1    McDonnell, P.J.2
  • 21
    • 76949100018 scopus 로고    scopus 로고
    • Fixed negative charge and the donnan effect: A description of the driving forces associated with brain tissue swelling and oedema
    • Elkin, B. S., Shaik, M. A., and Morrison, B., 3rd, 2010, "Fixed Negative Charge and the Donnan Effect: A Description of the Driving Forces Associated With Brain Tissue Swelling and Oedema, " Philos. Trans. R. Soc. London, 368(1912), pp. 585-603.
    • (2010) Philos. Trans. R. Soc. London , vol.368 , Issue.1912 , pp. 585-603
    • Elkin, B.S.1    Shaik, M.A.2
  • 22
    • 29744450274 scopus 로고    scopus 로고
    • A mixture theory analysis for passive transport in osmotic loading of cells
    • DOI 10.1016/j.jbiomech.2004.12.013, PII S0021929005000084
    • Ateshian, G. A., Likhitpanichkul, M., and Hung, C. T., 2006, "A Mixture Theory Analysis for Passive Transport in Osmotic Loading of Cells, " J. Bio-mech., 39(3), pp. 464-475. (Pubitemid 43028509)
    • (2006) Journal of Biomechanics , vol.39 , Issue.3 , pp. 464-475
    • Ateshian, G.A.1    Likhitpanichkul, M.2    Hung, C.T.3
  • 24
    • 72249114736 scopus 로고    scopus 로고
    • Influence of the partitioning of osmolytes by the cytoplasm on the passive response of cells to osmotic loading
    • Albro, M. B., Petersen, L. E., Li, R., Hung, C. T., and Ateshian, G. A., 2009, "Influence of the Partitioning of Osmolytes by the Cytoplasm on the Passive Response of Cells to Osmotic Loading, " Biophys. J., 97(11), pp. 2886-2893.
    • (2009) Biophys. J. , vol.97 , Issue.11 , pp. 2886-2893
    • Albro, M.B.1    Petersen, L.E.2    Li, R.3    Hung, C.T.4    Ateshian, G.A.5
  • 25
    • 0142200806 scopus 로고    scopus 로고
    • Modeling of Neutral Solute Transport in a Dynamically Loaded Porous Permeable Gel: Implications for Articular Cartilage Biosynthesis and Tissue Engineering
    • DOI 10.1115/1.1611512
    • Mauck, R. L., Hung, C. T., and Ateshian, G. A., 2003, "Modeling of Neutral Solute Transport in a Dynamically Loaded Porous Permeable Gel: Implications for Articular Cartilage Biosynthesis and Tissue Engineering, " ASME J. Bio-mech. Eng., 125(5), pp. 602-614. (Pubitemid 37315330)
    • (2003) Journal of Biomechanical Engineering , vol.125 , Issue.5 , pp. 602-614
    • Mauck, R.L.1    Hung, C.T.2    Ateshian, G.A.3
  • 26
    • 77955560022 scopus 로고    scopus 로고
    • Validation of theoretical framework explaining active solute uptake in dynamically loaded porous media
    • Albro, M. B., Li, R., Banerjee, R. E., Hung, C. T., and Ateshian, G. A., 2010, "Validation of Theoretical Framework Explaining Active Solute Uptake in Dynamically Loaded Porous Media, " J. Biomech., 43(12), pp. 2267-2273.
    • (2010) J. Biomech. , vol.43 , Issue.12 , pp. 2267-2273
    • Albro, M.B.1    Li, R.2    Banerjee, R.E.3    Hung, C.T.4    Ateshian, G.A.5
  • 27
    • 0032053771 scopus 로고    scopus 로고
    • A mixture theory for charged-hydrated soft tissues containing multi- electrolytes: Passive transport and swelling behaviors
    • 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(2), pp. 169-180. (Pubitemid 28194393)
    • (1998) Journal of Biomechanical Engineering , vol.120 , Issue.2 , pp. 169-180
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 28
    • 0025425642 scopus 로고
    • Effects of friction on the unconfined compressive response of articular cartilage: A finite element analysis
    • Spilker, R. L., Suh, J. K., and Mow, V. C., 1990, "Effects of Friction on the Unconfined Compressive Response of Articular Cartilage: A Finite Element Analysis, " ASME J. Biomech. Eng., 112(2), pp. 138-146. (Pubitemid 20296254)
    • (1990) Journal of Biomechanical Engineering , vol.112 , Issue.2 , pp. 138-146
    • Spilker, R.L.1    Suh, J.-K.2    Mow, V.C.3
  • 29
    • 0026652832 scopus 로고
    • A finite element analysis of the indentation stress-relaxation response of linear biphasic articular cartilage
    • Spilker, R. L., Suh, J. K., and Mow, V. C., 1992, "A Finite Element Analysis of the Indentation Stress-Relaxation Response of Linear Biphasic Articular Cartilage, " ASME J. Biomech. Eng., 114(2), pp. 191-201.
    • (1992) ASME J. Biomech. Eng. , vol.114 , Issue.2 , pp. 191-201
    • Spilker, R.L.1    Suh, J.K.2    Mow, V.C.3
  • 30
    • 0028375889 scopus 로고
    • Indentation analysis of biphasic articular cartilage: Nonlinear phenomena under finite deformation
    • Suh, J. K., and Spilker, R. L., 1994, "Indentation Analysis of Biphasic Articular Cartilage: Nonlinear Phenomena Under Finite Deformation, " ASME J. Bio-mech. Eng., 116(1), pp. 1-9. (Pubitemid 24075654)
    • (1994) Journal of Biomechanical Engineering , vol.116 , Issue.1 , pp. 1-9
    • Suh, J.-K.1    Spilker, R.L.2
  • 31
    • 0001980632 scopus 로고    scopus 로고
    • Mixed and penalty finite element models for the nonlinear behavior of biphasic soft tissues in finite deformation: Part i-alternate formulations
    • Almeida, E. S., and Spilker, R. L., 1997, "Mixed and Penalty Finite Element Models for the Nonlinear Behavior of Biphasic Soft Tissues in Finite Deformation: Part I-Alternate Formulations, " Comput. Methods Biomech. Biomed. Eng., 1(1), pp. 25-46.
    • (1997) Comput. Methods Biomech. Biomed. Eng. , vol.1 , Issue.1 , pp. 25-46
    • Almeida, E.S.1    Spilker, R.L.2
  • 32
    • 0345643551 scopus 로고
    • General theory of 3-dimensional consolidation
    • Biot, M., 1941, "General Theory of 3-Dimensional Consolidation, " J. Appl. Phys., 12, pp. 155-164.
    • (1941) J. Appl. Phys. , vol.12 , pp. 155-164
    • Biot, M.1
  • 33
    • 0019148092 scopus 로고
    • Incompressible porous media models by use of the theory of mixtures
    • DOI 10.1016/0020-7225(80)90114-7
    • Bowen, R., 1980, "Incompressible Porous Media Models by Use of the Theory of Mixtures, " Int. J. Eng. Sci., 18(9), pp. 1129-1148. (Pubitemid 11430006)
    • (1980) International Journal of Engineering Science , vol.18 , Issue.9 , pp. 1129-1148
    • Bowen Ray, M.1
  • 34
    • 0000915136 scopus 로고
    • Recent developments in synovial joint biomechanics
    • Mow V. C., and Lai, W. M., 1980, "Recent Developments in Synovial Joint Biomechanics, " SIAM Rev. 22(3) pp. 275-317.
    • (1980) SIAM Rev. , vol.22 , Issue.3 , pp. 275-317
    • Mow, V.C.1    Lai, W.M.2
  • 35
    • 0030087640 scopus 로고    scopus 로고
    • A poroelastic finite element formulation including transport and swelling in soft tissue structures
    • 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(1), pp. 1-9. (Pubitemid 26087276)
    • (1996) Journal of Biomechanical Engineering , vol.118 , Issue.1 , pp. 1-9
    • Simon, B.R.1    Liable, J.P.2    Pflaster, D.3    Yuan, Y.4    Krag, M.H.5
  • 36
    • 0000779366 scopus 로고    scopus 로고
    • A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues
    • Sun, D. N., Gu, W. Y., Guo, X. E., 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. (Pubitemid 129540467)
    • (1999) International Journal for Numerical Methods in Engineering , vol.45 , Issue.10 , pp. 1375-1402
    • Sun, D.N.1    Gu, W.Y.2    Guo, X.E.3    Lai, W.M.4    Mow, V.C.5
  • 37
    • 0037472543 scopus 로고    scopus 로고
    • Mixed finite element modelling of cartilaginous tissues
    • Kaasschieter, E. F., Frijns, A. J. H., and Huyghe, J. M., 2003, "Mixed Finite Element Modelling of Cartilaginous Tissues, " Math. Comput. Simul., 61(3-6), pp. 549-560.
    • (2003) Math. Comput. Simul. , vol.61 , Issue.3-6 , pp. 549-560
    • Kaasschieter, E.F.1    Frijns, A.J.H.2    Huyghe, J.M.3
  • 38
    • 34249650771 scopus 로고    scopus 로고
    • Three-dimensional inhomogeneous triphasic finite-element analysis of physical signals and solute transport in human intervertebral disc under axial compression
    • DOI 10.1016/j.jbiomech.2006.10.001, PII S0021929006003617
    • Yao, H., and Gu, W. Y., 2007, "Three-Dimensional Inhomogeneous Triphasic Finite-Element Analysis of Physical Signals and Solute Transport in Human Intervertebral Disc Under Axial Compression, " J. Biomech., 40(9), pp. 2071-2077. (Pubitemid 46843008)
    • (2007) Journal of Biomechanics , vol.40 , Issue.9 , pp. 2071-2077
    • Yao, H.1    Gu, W.Y.2
  • 39
    • 58149289689 scopus 로고    scopus 로고
    • Nutrient distribution and metabolism in the intervertebral disc in the unloaded state: A parametric study
    • Magnier, C., Boiron, O., Wendling-Mansuy, S., Chabrand, P., and Deplano, V., 2009, "Nutrient Distribution and Metabolism in the Intervertebral Disc in the Unloaded State: A Parametric Study, " J. Biomech., 42(2), pp. 100-108.
    • (2009) J. Biomech. , vol.42 , Issue.2 , pp. 100-108
    • Magnier, C.1    Boiron, O.2    Wendling-Mansuy, S.3    Chabrand, P.4    Deplano, V.5
  • 41
    • 3042658297 scopus 로고    scopus 로고
    • Simulating the swelling and deformation behaviour in soft tissues using a convective thermal analogy
    • Wu, J. Z., and Herzog, W., 2002, "Simulating the Swelling and Deformation Behaviour in Soft Tissues Using a Convective Thermal Analogy, " Biomed. Eng. Online, 1, p. 8.
    • (2002) Biomed. Eng. Online , vol.1 , pp. 8
    • Wu, J.Z.1    Herzog, W.2
  • 42
    • 68149171475 scopus 로고    scopus 로고
    • Modeling the matrix of articular cartilage using a continuous fiber angular distribution predicts many observed phenomena
    • Ateshian, G. A., Rajan, V., Chahine, N. O., Canal, C. E., and Hung, C. T., 2009, "Modeling the Matrix of Articular Cartilage Using a Continuous Fiber Angular Distribution Predicts Many Observed Phenomena, " ASME J. Biomech. Eng., 131(6), p. 061003.
    • (2009) ASME J. Biomech. Eng. , vol.131 , Issue.6 , pp. 061003
    • Ateshian, G.A.1    Rajan, V.2    Chahine, N.O.3    Canal, C.E.4    Hung, C.T.5
  • 43
    • 2442459590 scopus 로고    scopus 로고
    • An integrated finite-element approach to mechanics, transport and biosynthesis in tissue engineering
    • DOI 10.1115/1.1645526
    • Sengers, B. G., Oomens, C. W., and Baaijens, F. P., 2004, "An Integrated Finite-Element Approach to Mechanics, Transport and Biosynthesis in Tissue Engineering, " ASME J. Biomech. Eng., 126(1), pp. 82-91. (Pubitemid 38649195)
    • (2004) Journal of Biomechanical Engineering , vol.126 , Issue.1 , pp. 82-91
    • Sengers, B.G.1    Oomens, C.W.J.2    Baaijens, F.P.T.3
  • 44
    • 0037221720 scopus 로고    scopus 로고
    • A finite element analysis for the prediction of load-induced fluid flow and mechanochemical transduction in bone
    • DOI 10.1006/jtbi.2003.3163
    • Steck, R., Niederer, P., and Knothe Tate, M. L., 2003, "A Finite Element Analysis for the Prediction of Load-Induced Fluid Flow and Mechanochemical Transduction in Bone, " J. Theor. Biol., 220(2), pp. 249-259. (Pubitemid 36027129)
    • (2003) Journal of Theoretical Biology , vol.220 , Issue.2 , pp. 249-259
    • Steck, R.1    Niederer, P.2    Knothe Tate, M.L.3
  • 46
    • 0023422845 scopus 로고
    • Hindered transport of large molecules in liquid-filled pores
    • Deen, W. M., 1987, "Hindered Transport of Large Molecules in Liquid-Filled Pores, " AIChE J., 33(9), pp. 1409-1425. (Pubitemid 17654407)
    • (1987) AIChE Journal , vol.33 , Issue.9 , pp. 1409-1425
    • Deen, W.M.1
  • 47
    • 80052899240 scopus 로고    scopus 로고
    • Finite element implementation of mechanochemical phenomena in neutral deformable porous media under finite deformation
    • Ateshian, G. A., Albro, M. B., Maas, S., and Weiss, J. A., 2011, "Finite Element Implementation of Mechanochemical Phenomena in Neutral Deformable Porous Media Under Finite Deformation, " ASME J. Biomech. Eng., 133(8), p. 081005.
    • (2011) ASME J. Biomech. Eng. , vol.133 , Issue.8 , pp. 081005
    • Ateshian, G.A.1    Albro, M.B.2    Maas, S.3    Weiss, J.A.4
  • 50
    • 84991887170 scopus 로고    scopus 로고
    • Finite element modeling of solutes in hydrated deformable biological tissues
    • G. A. Holzapfel and E. Kuhl, eds. Springer, New York
    • Ateshian, G. A., and Weiss, J. A., 2013, "Finite Element Modeling of Solutes in Hydrated Deformable Biological Tissues, " Computer Models in Biome-chanics: From Nano to Macro, G. A. Holzapfel and E. Kuhl, eds., Springer, New York.
    • (2013) Computer Models in Biome-chanics: From Nano to Macro
    • Ateshian, G.A.1    Weiss, J.A.2
  • 52
    • 34648821555 scopus 로고    scopus 로고
    • On the theory of reactive mixtures for modeling biological growth
    • DOI 10.1007/s10237-006-0070-x
    • Ateshian, G. A., 2007, "On the Theory of Reactive Mixtures for Modeling Biological Growth, " Biomech. Model. Mechanobiol., 6(6), pp. 423-445. (Pubitemid 47551864)
    • (2007) Biomechanics and Modeling in Mechanobiology , vol.6 , Issue.6 , pp. 423-445
    • Ateshian, G.A.1
  • 54
    • 0000374771 scopus 로고
    • The partition of solutes between buffer solutions and solutions containing hyaluronic acid
    • Ogston, A. G., and Phelps, C. F., 1961, "The Partition of Solutes Between Buffer Solutions and Solutions Containing Hyaluronic Acid, " Biochem. J., 78, pp. 827-833.
    • (1961) Biochem. J. , vol.78 , pp. 827-833
    • Ogston, A.G.1    Phelps, C.F.2
  • 55
    • 0000221435 scopus 로고
    • A theory of gel filtration and its experimental verification
    • Laurent, T. C., and Killander, J., 1963, "A Theory of Gel Filtration and Its Experimental Verification, " J. Chromatogr., 14, pp. 317-330.
    • (1963) J. Chromatogr. , vol.14 , pp. 317-330
    • Laurent, T.C.1    Killander, J.2
  • 58
    • 77955107986 scopus 로고    scopus 로고
    • Finite element algorithm for frictionless contact of porous permeable media under finite deformation and sliding
    • Ateshian, G. A., Maas, S., and Weiss, J. A., 2010, "Finite Element Algorithm for Frictionless Contact of Porous Permeable Media Under Finite Deformation and Sliding, " ASME J. Biomech. Eng., 132(6), p. 061006.
    • (2010) ASME J. Biomech. Eng. , vol.132 , Issue.6 , pp. 061006
    • Ateshian, G.A.1    Maas, S.2    Weiss, J.A.3
  • 59
    • 0001653395 scopus 로고
    • Thermodynamic analysis of the permeability of biological membranes to non-electrolytes
    • Kedem, O., and Katchalsky, A., 1958, "Thermodynamic Analysis of the Permeability of Biological Membranes to Non-electrolytes, " Biochim. Biophys. Acta, 27(2), pp. 229-246.
    • (1958) Biochim. Biophys. Acta , vol.27 , Issue.2 , pp. 229-246
    • Kedem, O.1    Katchalsky, A.2
  • 61
    • 0023276026 scopus 로고
    • Cartilage electromechanics - I. Electrokinetic transduction and the effects of electrolyte pH and ionic strength
    • DOI 10.1016/0021-9290(87)90282-X
    • Frank, E. H., and Grodzinsky, A. J., 1987, "Cartilage Electromechanics-I. Elec-trokinetic Transduction and the Effects of Electrolyte pH and Ionic Strength, " J. Biomech., 20(6), pp. 615-627. (Pubitemid 17111948)
    • (1987) Journal of Biomechanics , vol.20 , Issue.6 , pp. 615-627
    • Frank, E.H.1    Grodzinsky, A.J.2
  • 62
    • 0023237655 scopus 로고
    • Cartilage electromechanics - II. A continuum model of cartilage electrokinetics and correlation with experiments
    • DOI 10.1016/0021-9290(87)90283-1
    • Frank, E. H., and Grodzinsky, A. J., 1987, "Cartilage Electromechanics-II. A Continuum Model of Cartilage Electrokinetics and Correlation With Experiments, " J. Biomech., 20(6), pp. 629-639. (Pubitemid 17111949)
    • (1987) Journal of Biomechanics , vol.20 , Issue.6 , pp. 629-639
    • Frank, E.H.1    Grodzinsky, A.J.2
  • 63
    • 0002892555 scopus 로고
    • Elasticity of articular cartilage: Effect of ions and viscous solutions
    • Sokoloff, L., 1963, "Elasticity of Articular Cartilage: Effect of Ions and Viscous Solutions, " Science, 141, pp. 1055-1057.
    • (1963) Science , vol.141 , pp. 1055-1057
    • Sokoloff, L.1
  • 64
    • 77951974109 scopus 로고    scopus 로고
    • Electrostatic and non-electrostatic contributions of proteoglycans to the compressive equilibrium modulus of bovine articular cartilage
    • Canal Guterl, C., Hung, C. T., and Ateshian, G. A., 2010, "Electrostatic and Non-Electrostatic Contributions of Proteoglycans to the Compressive Equilibrium Modulus of Bovine Articular Cartilage, " J. Biomech., 43(7), pp. 1343-1350.
    • (2010) J. Biomech. , vol.43 , Issue.7 , pp. 1343-1350
    • Canal Guterl, C.1    Hung, C.T.2    Ateshian, G.A.3
  • 65
    • 0006280110 scopus 로고
    • Thermodynamic relations for high elastic materials
    • Flory, P. J., 1961, "Thermodynamic Relations for High Elastic Materials, " Trans Faraday Soc., 57, pp. 829-838.
    • (1961) Trans Faraday Soc. , vol.57 , pp. 829-838
    • Flory, P.J.1
  • 66
    • 0026103678 scopus 로고
    • Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
    • Simo, J. C., and Taylor, R. L., 1991, "Quasi-incompressible Finite Elasticity in Principal Stretches. Continuum Basis and Numerical Algorithms, " Comput. Methods Appl. Mech. Eng., 85(3), pp. 273-310.
    • (1991) Comput. Methods Appl. Mech. Eng. , vol.85 , Issue.3 , pp. 273-310
    • Simo, J.C.1    Taylor, R.L.2
  • 68
    • 0019827035 scopus 로고
    • Measurement of swelling pressure in cartilage and comparison with osmotic pressure of constituent proteoglycans
    • Maroudas, A., and Bannon, C., 1981, "Measurement of Swelling Pressure in Cartilage and Comparison With the Osmotic Pressure of Constituent Proteoglycans, " Biorheology, 18(3-6), pp. 619-632. (Pubitemid 11015420)
    • (1981) Biorheology , vol.18 , Issue.3-6 , pp. 619-632
    • Maroudas, A.1    Bannon, C.2
  • 69
    • 0032320412 scopus 로고    scopus 로고
    • The osmotic pressure of chondroitin sulphate solutions: Experimental measurements and theoretical analysis
    • DOI 10.1016/S0006-355X(99)80018-3
    • Ehrlich, S., Wolff, N., Schneiderman, R., Maroudas, A., Parker, K. H., and Winlove, C. P., 1998, "The Osmotic Pressure of Chondroitin Sulphate Solutions: Experimental Measurements and Theoretical Analysis, " Biorheology, 35(6), pp. 383-397. (Pubitemid 29372110)
    • (1998) Biorheology , vol.35 , Issue.6 , pp. 383-397
    • Ehrlich, S.1    Wolff, N.2    Schneiderman, R.3    Maroudas, A.4    Parker, K.H.5    Winlove, C.P.6
  • 70
    • 24144498662 scopus 로고    scopus 로고
    • Direct measurement of osmotic pressure of glycosaminoglycan solutions by membrane osmometry at room temperature
    • DOI 10.1529/biophysj.104.057315
    • Chahine, N. O., Chen, F. H., Hung, C. T., and Ateshian, G. A., 2005, "Direct Measurement of Osmotic Pressure of Glycosaminoglycan Solutions by Membrane Osmometry at Room Temperature, " Biophys. J., 89(3), pp. 1543-1550. (Pubitemid 41233512)
    • (2005) Biophysical Journal , vol.89 , Issue.3 , pp. 1543-1550
    • Chahine, N.O.1    Chen, F.H.2    Hung, C.T.3    Ateshian, G.A.4
  • 71
    • 0029294464 scopus 로고
    • A molecular model of proteoglycan-associated electrostatic forces in cartilage mechanics
    • Buschmann, M. D., and Grodzinsky, A. J., 1995, "A Molecular Model of Proteoglycan-Associated Electrostatic Forces in Cartilage Mechanics, " ASME J. Biomech. Eng., 117(2), pp. 179-192.
    • (1995) ASME J. Biomech. Eng. , vol.117 , Issue.2 , pp. 179-192
    • Buschmann, M.D.1    Grodzinsky, A.J.2
  • 72
    • 0026016752 scopus 로고
    • The effect of osmotic and mechanical pressures on water partitioning in articular cartilage
    • Maroudas, A., Wachtel, E., Grushko, G., Katz, E. P., and Weinberg, P., 1991, "The Effect of Osmotic and Mechanical Pressures on Water Partitioning in Articular Cartilage, " Biochim. Biophys. Acta, 1073(2), pp. 285-94.
    • (1991) Biochim. Biophys. Acta , vol.1073 , Issue.2 , pp. 285-294
    • Maroudas, A.1    Wachtel, E.2    Grushko, G.3    Katz, E.P.4    Weinberg, P.5
  • 73
    • 33845444860 scopus 로고    scopus 로고
    • Depth-dependent compressive equilibrium properties of articular cartilage explained by its composition
    • DOI 10.1007/s10237-006-0044-z, Special Issue on Cartilage (part II)
    • Wilson, W., Huyghe, J. M., and van Donkelaar, C. C., 2007, "Depth-Dependent Compressive Equilibrium Properties of Articular Cartilage Explained by Its Composition, " Biomech. Model. Mechanobiol., 6(1-2), pp. 43-53. (Pubitemid 44893159)
    • (2007) Biomechanics and Modeling in Mechanobiology , vol.6 , Issue.1-2 , pp. 43-53
    • Wilson, W.1    Huyghe, J.M.2    Van Donkelaar, C.C.3
  • 74
    • 84860165179 scopus 로고    scopus 로고
    • Effect of cytoskeletal elastic properties on the mechanoelectrical transduction in excitable cells
    • Shklyar, T. F., Dinislamova, O. A., Safronov, A. P., and Blyakhman, F. A., 2012, "Effect of Cytoskeletal Elastic Properties on the Mechanoelectrical Transduction in Excitable Cells, " J. Biomech., 45(8), pp. 1444-1449.
    • (2012) J. Biomech. , vol.45 , Issue.8 , pp. 1444-1449
    • Shklyar, T.F.1    Dinislamova, O.A.2    Safronov, A.P.3    Blyakhman, F.A.4
  • 75
    • 0043199004 scopus 로고
    • Thermochemistry of reacting materials
    • Bowen, R. M., 1968, "Thermochemistry of Reacting Materials, " J. Chem. Phys., 49(4), pp. 1625-1637.
    • (1968) J. Chem. Phys. , vol.49 , Issue.4 , pp. 1625-1637
    • Bowen, R.M.1
  • 76
    • 73949142001 scopus 로고    scopus 로고
    • Continuum Modeling of Biological Tissue Growth by Cell Division, and Alteration of Intracellular Osmolytes and Extracellular Fixed Charge Density
    • Ateshian, G. A., Costa, K. D., Azeloglu, E. U., Morrison, B., R., and Hung, C. T., 2009, "Continuum Modeling of Biological Tissue Growth by Cell Division, and Alteration of Intracellular Osmolytes and Extracellular Fixed Charge Density, " ASME J. Biomech. Eng., 131(10), p. 101001.
    • (2009) ASME J. Biomech. Eng. , vol.131 , Issue.10 , pp. 101001
    • Ateshian, G.A.1    Costa, K.D.2    Azeloglu, E.U.3    Morrison, B.R.4    Hung, C.T.5
  • 77
    • 79951750724 scopus 로고    scopus 로고
    • The role of mass balance equations in growth mechanics illustrated in surface and volume dissolutions
    • Ateshian, G. A., 2011, "The Role of Mass Balance Equations in Growth Mechanics Illustrated in Surface and Volume Dissolutions, " ASME J. Biomech. Eng., 133(1), p. 011010.
    • (2011) ASME J. Biomech. Eng. , vol.133 , Issue.1 , pp. 011010
    • Ateshian, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.