메뉴 건너뛰기




Volumn 39, Issue 11, 2011, Pages 2767-2779

A linear, biphasic model incorporating a Brinkman term to describe the mechanics of cell-seeded collagen hydrogels

Author keywords

Brinkman term; Collagen gel; Finite element modeling; Hydrogel; Mechanics

Indexed keywords

BIOMECHANICAL FACTORS; BIPHASIC; BIPHASIC MODELS; BRINKMAN TERM; CELL-SEEDED COLLAGEN HYDROGELS; CELLULAR RESPONSE; COLLAGEN GEL; COLLAGEN TYPE I; CONFINED COMPRESSION; CROSS FLOWS; CYCLIC STRAIN; EFFECTS OF STRAINS; EMBEDDED CELLS; EXTRACELLULAR MATRICES; FINITE ELEMENT MODELING; FLUID PRESSURES; IN-VITRO; IN-VIVO; INTERSTITIAL FLUID FLOW; MECHANICAL STIMULATION; MECHANICAL STRESS; PROTEIN HYDROGELS; RELATIVE VELOCITY; STRESS AND STRAIN; VISCOUS EFFECT;

EID: 80755137038     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-011-0371-9     Document Type: Article
Times cited : (13)

References (33)
  • 1
    • 0020965752 scopus 로고
    • The contraction of collagen matrices by dermal fibroblasts
    • DOI 10.1016/S0022-5320(83)90078-3
    • TD Allen ST Schor 1983 The contraction of collagen matrices by dermal fibroblasts J. Ultrastruct. Res. 83 205 219 6864862 10.1016/S0022-5320(83)90078- 3 1:STN:280:DyaL3s3ktFyktQ%3D%3D (Pubitemid 13003459)
    • (1983) Journal of Ultrastructure Research , vol.83 , Issue.2 , pp. 205-219
    • Allen, T.D.1    Schor, S.L.2
  • 2
    • 11344291954 scopus 로고    scopus 로고
    • The role of interstitial fluid pressurization and surface porosities on the boundary friction of articular cartilage
    • 10.1115/1.2834416
    • GA Ateshian H Wang WM Lai 1998 The role of interstitial fluid pressurization and surface porosities on the boundary friction of articular cartilage J. Tribol. ASME 120 241 251 10.1115/1.2834416
    • (1998) J. Tribol. ASME , vol.120 , pp. 241-251
    • Ateshian, G.A.1    Wang, H.2    Lai, W.M.3
  • 3
    • 0001297636 scopus 로고
    • Production of a tissue-like structure by contraction of collagen lattices by human fibroblasts of different proliferative potential in vitro
    • E Bell B Evarsson C Merrill 1979 Production of a tissue-like structure by contraction of collagen lattices by human fibroblasts of different proliferative potential in vitro Proc. Natl. Acad. Sci. 76 1274 1278 286310 10.1073/pnas.76.3.1274 1:CAS:528:DyaE1MXhvVCis7k%3D (Pubitemid 9143722)
    • (1979) Proceedings of the National Academy of Sciences of the United States of America , vol.76 , Issue.3 , pp. 1274-1278
    • Bell, E.1    Ivarsson, B.2    Merrill, C.3
  • 4
    • 0002004386 scopus 로고
    • Theory of mixtures
    • A.E. Eringen (eds). Academic Press New York, NY
    • Bowen, R. Theory of mixtures. In: Continuum Physics, Vol. 3, edited by A. E. Eringen. New York, NY: Academic Press, 1976, pp. 1-127.
    • (1976) Continuum Physics , vol.3 , pp. 1-127
    • Bowen, R.1
  • 5
    • 0036115860 scopus 로고    scopus 로고
    • Predicting local cell deformations in engineered tissue constructs: A multilevel finite element approach
    • DOI 10.1115/1.1449492
    • RGM Breuls BG Sengers CWJ Oomens CVC Bouten FPT Baaijens 2002 Predicting local cell deformations in engineered tissue constructs: a multilevel finite element approach J. Biomech. Eng. 124 2 198 208 12002129 10.1115/1.1449492 (Pubitemid 34407063)
    • (2002) Journal of Biomechanical Engineering , vol.124 , Issue.2 , pp. 198-207
    • Breuls, R.G.M.1    Sengers, B.G.2    Oomens, C.W.J.3    Bouten, C.V.C.4    Baaijens, F.P.T.5
  • 6
    • 0033624371 scopus 로고    scopus 로고
    • A mixed-penalty biphasic finite element formulation incorporating viscous fluids and material interfaces
    • 10983705 10.1114/1.1305529 1:STN:280:DC%2BD3M%2Fos1ensQ%3D%3D
    • B Chan PS Donzelli RL Spilker 2000 A mixed-penalty biphasic finite element formulation incorporating viscous fluids and material interfaces Ann. Biomed. Eng. 28 589 597 10983705 10.1114/1.1305529 1:STN:280: DC%2BD3M%2Fos1ensQ%3D%3D
    • (2000) Ann. Biomed. Eng. , vol.28 , pp. 589-597
    • Chan, B.1    Donzelli, P.S.2    Spilker, R.L.3
  • 7
    • 36448945807 scopus 로고    scopus 로고
    • Biphasic finite element model of solute transport for direct infusion into nervous tissue
    • DOI 10.1007/s10439-007-9371-1
    • X Chen M Sarntinoranont 2007 Biphasic finite element model of solute transport for direct infusion into nervous tissue Ann. Biomed Eng. 35 12 2145 2158 17846894 10.1007/s10439-007-9371-1 (Pubitemid 350165301)
    • (2007) Annals of Biomedical Engineering , vol.35 , Issue.12 , pp. 2145-2158
    • Chen, X.1    Sarntinoranont, M.2
  • 8
    • 0034031879 scopus 로고    scopus 로고
    • Collagen-based biomaterials as 3D scaffold for cell cultures: Applications for tissue engineering and gene therapy
    • B Chevallay D Herbage 2000 Collagen-based biomaterials as 3D scaffold for cell cultures: applications for tissue engineering and gene therapy Med. Biol. Eng. Comput. 38 211 218 10829416 10.1007/BF02344779 1:STN:280: DC%2BD3c3ovVahtw%3D%3D (Pubitemid 30192997)
    • (2000) Medical and Biological Engineering and Computing , vol.38 , Issue.2 , pp. 211-218
    • Chevallay, B.1    Herbage, D.2
  • 9
    • 1542298282 scopus 로고    scopus 로고
    • Properties of engineered vascular constructs made from collagen, fibrin, and collagen-fibrin mixtures
    • DOI 10.1016/j.biomaterials.2003.10.073, PII S0142961203010068
    • CL Cummings D Gawlitta RM Nerem JP Stegemann 2004 Properties of engineered vascular constructs made from collagen, fibrin, and collagen-fibrin mixtures Biomaterials 25 17 3699 3706 15020145 10.1016/j.biomaterials.2003.10. 073 1:CAS:528:DC%2BD2cXitVKisrc%3D (Pubitemid 38327058)
    • (2004) Biomaterials , vol.25 , Issue.17 , pp. 3699-3706
    • Cummings, C.L.1    Gawlitta, D.2    Nerem, R.M.3    Stegemann, J.P.4
  • 11
    • 79955446671 scopus 로고    scopus 로고
    • Simultaneous application of interstitial flow and cyclic mechanical strain to a 3D cell-seeded hydrogel
    • 10.1089/ten.tec.2010.0547 1:CAS:528:DC%2BC3MXltlKjtLg%3D
    • PA Galie JP Stegemann 2011 Simultaneous application of interstitial flow and cyclic mechanical strain to a 3D cell-seeded hydrogel Tissue Eng. C 17 5 527 536 10.1089/ten.tec.2010.0547 1:CAS:528:DC%2BC3MXltlKjtLg%3D
    • (2011) Tissue Eng. C , vol.17 , Issue.5 , pp. 527-536
    • Galie, P.A.1    Stegemann, J.P.2
  • 12
    • 79955407134 scopus 로고    scopus 로고
    • Reduced serum content and increased matrix stiffness promote the cardiac myofibroblast transition in 3D collagen matrices
    • [Epub ahead of print]
    • Galie, P. A.; M. V. Westfall, and J. P. Stegemann. Reduced serum content and increased matrix stiffness promote the cardiac myofibroblast transition in 3D collagen matrices. Cardiovasc. Pathol. 2011 [Epub ahead of print].
    • (2011) Cardiovasc. Pathol.
    • Galie, P.A.1    Westfall, M.V.2
  • 13
    • 33750476655 scopus 로고    scopus 로고
    • Cell adaptation to a physiologically relevant ECM mimic with different viscoelastic properties
    • DOI 10.1016/j.biomaterials.2006.09.038, PII S0142961206008490
    • K Ghosh, et al. 2007 Cell adaptation to a physiologically relevant ECM mimic with different viscoelastic properties Biomaterials 28 4 671 679 17049594 10.1016/j.biomaterials.2006.09.038 1:CAS:528:DC%2BD28XhtFKhsbjO (Pubitemid 44647459)
    • (2007) Biomaterials , vol.28 , Issue.4 , pp. 671-679
    • Ghosh, K.1    Pan, Z.2    Guan, E.3    Ge, S.4    Liu, Y.5    Nakamura, T.6    Ren, X.-D.7    Rafailovich, M.8    Clark, R.A.F.9
  • 14
    • 0038738331 scopus 로고    scopus 로고
    • Fibroblast biology in three-dimensional collagen matrices
    • DOI 10.1016/S0962-8924(03)00057-6
    • F Grinnell 2003 Fibroblast biology in three-dimensional collagen matrices Trends Cell Biol. 13 5 264 269 12742170 10.1016/S0962-8924(03)00057-6 1:CAS:528:DC%2BD3sXjsVeisb0%3D (Pubitemid 36556011)
    • (2003) Trends in Cell Biology , vol.13 , Issue.5 , pp. 264-269
    • Grinnell, F.1
  • 15
    • 0031859711 scopus 로고    scopus 로고
    • Equibiaxial strain and strain rate stimulate early activation of G proteins in cardiac fibroblasts
    • 1:CAS:528:DyaK1cXjsFSisLo%3D
    • SRP Gudi AA Lee CB Clark JA Frangos 1998 Equibiaxial strain and strain rate stimulate early activation of G proteins in cardiac fibroblasts Am. J. Physiol. Cell Physiol. 274 5 C1424 C1428 1:CAS:528:DyaK1cXjsFSisLo%3D
    • (1998) Am. J. Physiol. Cell Physiol. , vol.274 , Issue.5
    • Gudi, S.R.P.1    Lee, A.A.2    Clark, C.B.3    Frangos, J.A.4
  • 16
    • 0033811124 scopus 로고    scopus 로고
    • The mechanical environment of the chondrocyte: A biphasic finite element model of cell-matrix interactions in articular cartilage
    • 11006391 10.1016/S0021-9290(00)00105-6 1:STN:280:DC%2BD3M%2FmtV2rsQ%3D%3D
    • F Guilak VC Mow 2000 The mechanical environment of the chondrocyte: a biphasic finite element model of cell-matrix interactions in articular cartilage J. Biomech. 33 12 1663 1673 11006391 10.1016/S0021-9290(00)00105-6 1:STN:280:DC%2BD3M%2FmtV2rsQ%3D%3D
    • (2000) J. Biomech. , vol.33 , Issue.12 , pp. 1663-1673
    • Guilak, F.1    Mow, V.C.2
  • 17
    • 0022820669 scopus 로고
    • Finite deformation of soft tissue: Analysis of a mixture model in uni-axial compression
    • MH Holmes 1986 Finite deformation theory of soft tissue: analysis of a mixture model in uniaxial compression J. Biomech. Eng. 108 372 381 3795885 10.1115/1.3138633 1:STN:280:DyaL2s%2FovVWmtQ%3D%3D (Pubitemid 17189373)
    • (1986) Journal of Biomechanical Engineering , vol.108 , Issue.4 , pp. 372-381
    • Holmes, M.H.1
  • 18
    • 0024569799 scopus 로고
    • Boundary conditions at the cartilage-synovial fluid interface for joint lubrication and theoretical verifications
    • 2747237 10.1115/1.3168343 1:STN:280:DyaL1Mzht1Kjtg%3D%3D
    • JS Hou MH Holmes WM Lai VC Mow 1989 Boundary conditions at the cartilage-synovial fluid interface for joint lubrication and theoretical verifications J. Biomech. Eng. 111 78 87 2747237 10.1115/1.3168343 1:STN:280:DyaL1Mzht1Kjtg%3D%3D
    • (1989) J. Biomech. Eng. , vol.111 , pp. 78-87
    • Hou, J.S.1    Holmes, M.H.2    Lai, W.M.3    Mow, V.C.4
  • 19
    • 0042741278 scopus 로고
    • The theory of an incompressible solid-fluid mixture
    • DE Kenyon 1976 The theory of an incompressible solid-fluid mixture Arch. Ration. Mech. Anal. 62 131 147
    • (1976) Arch. Ration. Mech. Anal. , vol.62 , pp. 131-147
    • Kenyon, D.E.1
  • 21
    • 0023161999 scopus 로고
    • Biphasic indentation of articular cartilage-I. Theoretical analysis
    • DOI 10.1016/0021-9290(87)90036-4
    • AK Mak WM Lai VC Mow 1987 Biphasic indentation of articular cartilage-I. Theoretical analysis J. Biomech. 20 7 703 714 3654668 10.1016/0021-9290(87) 90036-4 1:STN:280:DyaL1c%2FgslOjsw%3D%3D (Pubitemid 17654722)
    • (1987) Journal of Biomechanics , vol.20 , Issue.7 , pp. 703-714
    • Mak, A.F.1    Lai, W.M.2    Mow, V.C.3
  • 22
    • 33746084000 scopus 로고    scopus 로고
    • Nonlinear dependence of hydraulic conductivity on tissue deformation during intratumoral infusion
    • DOI 10.1007/s10439-006-9136-2
    • S McGuire D Zaharoff F Yuan 2006 Nonlinear dependence of hydraulic conductivity on tissue deformation during intratumoral infusion Ann. Biomed Eng. 34 7 1173 1181 16791492 10.1007/s10439-006-9136-2 (Pubitemid 44078482)
    • (2006) Annals of Biomedical Engineering , vol.34 , Issue.7 , pp. 1173-1181
    • McGuire, S.1    Zaharoff, D.2    Yuan, F.3
  • 23
    • 0018983548 scopus 로고
    • Biphasic creep and stress relaxation of articular cartilage in compression: Theory and experiments
    • VC Mow SC Kuei WM Lai CG Armstrong 1980 Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments J. Biomech. Eng. 102 73 84 7382457 10.1115/1.3138202 1:STN:280:DyaL3c3gvVaisQ%3D%3D (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
  • 24
    • 33947545916 scopus 로고    scopus 로고
    • The effect of pore size on permeability and cell attachment in collagen scaffolds for tissue engineering
    • Tissue Engineering for Orthopaedic Applications
    • FJ O'Brien BA Harley MA Waller IV Yannas LJ Gibson PJ Prendergast 2007 The effect of pore size on permeability and cell attachment in collagen scaffolds for tissue engineering Technol. Health Care 15 3 17 17264409 (Pubitemid 46465104)
    • (2007) Technology and Health Care , vol.15 , Issue.1 , pp. 3-17
    • O'Brien, F.J.1    Harley, B.A.2    Waller, M.A.3    Yannas, I.V.4    Gibson, L.J.5    Prendergast, P.J.6
  • 25
    • 0036708471 scopus 로고    scopus 로고
    • Diffusion and convection in collagen gels: Implications for transport in the tumor interstitium
    • S Ramanujan A Pluen TD McKee EB Brown Y Boucher RK Jain 2002 Diffusion and convection in collagen gels: implications for transport in the tumor interstitium Biophys. J. 83 1650 1660 12202388 10.1016/S0006-3495(02)73933-7 1:CAS:528:DC%2BD38XmvFCksrg%3D (Pubitemid 34977735)
    • (2002) Biophysical Journal , vol.83 , Issue.3 , pp. 1650-1660
    • Ramanujan, S.1    Pluen, A.2    McKee, T.D.3    Brown, E.B.4    Boucher, Y.5    Jain, R.K.6
  • 26
    • 67349231199 scopus 로고    scopus 로고
    • Membrane-stretch-induced cell death in deep tissue injury: Computer model studies
    • 10.1007/s12195-009-0046-x 1:CAS:528:DC%2BD1MXltFegtr8%3D
    • N Slomka S Or-Tzadikario D Sassun A Gefen 2009 Membrane-stretch-induced cell death in deep tissue injury: computer model studies Cell. Mol. Bioeng. 2 1 118 132 10.1007/s12195-009-0046-x 1:CAS:528:DC%2BD1MXltFegtr8%3D
    • (2009) Cell. Mol. Bioeng. , vol.2 , Issue.1 , pp. 118-132
    • Slomka, N.1    Or-Tzadikario, S.2    Sassun, D.3    Gefen, A.4
  • 27
    • 0003117512 scopus 로고
    • A finite element formulation of the nonlinear biphasic model for articular cartilage and hydrated soft tissues including strain-dependent permeability
    • R.L. Spilker B.R. Simon (eds). ASME New York
    • Spilker, R. L.; J.-K. Suh, and V. C. Mow. A finite element formulation of the nonlinear biphasic model for articular cartilage and hydrated soft tissues including strain-dependent permeability. In: Computational Methods in Bioengineering, edited by R. L. Spilker, and B. R. Simon. New York: ASME, 1982, pp. 81-92.
    • (1982) Computational Methods in Bioengineering , pp. 81-92
    • Spilker, R.L.1    Suh, J.-K.2    Mow, V.C.3
  • 28
    • 19444384572 scopus 로고    scopus 로고
    • Invited review: Mechanical, biochemical, and extracellular matrix effects on vascular smooth muscle cell phenotype
    • DOI 10.1152/japplphysiol.01114.2004
    • JP Stegemann H Hong RM Nerem 2005 Mechanical, biochemical, and extracellular matrix effects on vascular smooth muscle cell phenotype J. Appl. Physiol. 98 2321 2327 15894540 10.1152/japplphysiol.01114.2004 (Pubitemid 40726933)
    • (2005) Journal of Applied Physiology , vol.98 , Issue.6 , pp. 2321-2327
    • Stegemann, J.P.1    Hong, H.2    Nerem, R.M.3
  • 29
    • 0038532474 scopus 로고    scopus 로고
    • Phenotype modulation in vascular tissue engineering using biochemical and mechanical stimulation
    • 12723680 10.1114/1.1558031
    • JP Stegemann RM Nerem 2003 Phenotype modulation in vascular tissue engineering using biochemical and mechanical stimulation Ann. Biomed. Eng. 31 4 391 402 12723680 10.1114/1.1558031
    • (2003) Ann. Biomed. Eng. , vol.31 , Issue.4 , pp. 391-402
    • Stegemann, J.P.1    Nerem, R.M.2
  • 30
    • 58149188069 scopus 로고    scopus 로고
    • A finite element prediction of strain on cells in a highly porous collagen-glycosaminoglycan scaffold
    • 10.1115/1.2979873
    • AJF Stops LA McMahon 2008 A finite element prediction of strain on cells in a highly porous collagen-glycosaminoglycan scaffold J. Biomech. Eng. 130 6 100 111 10.1115/1.2979873
    • (2008) J. Biomech. Eng. , vol.130 , Issue.6 , pp. 100-111
    • Stops, A.J.F.1    McMahon, L.A.2
  • 31
    • 34248166980 scopus 로고    scopus 로고
    • Volume-averaging theory for the study of the mechanics of collagen networks
    • DOI 10.1016/j.cma.2006.06.019, PII S0045782507000333, Computational Bioengineering
    • T Stylianopoulos 2007 Volume-averaging theory for the study of the mechanics of collagen networks Comput. Methods Appl. Mech. Eng. 196 31-32 2981 2990 10.1016/j.cma.2006.06.019 (Pubitemid 46722279)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.31-32 , pp. 2981-2990
    • Stylianopoulos, T.1    Barocas, V.H.2
  • 32
    • 0029347557 scopus 로고
    • Modeling interstitial flow in an artery wall allows estimation of wall shear stress on smooth muscle Cells
    • 8618390 10.1115/1.2794192 1:STN:280:DyaK287hsF2ltA%3D%3D
    • DM Wang JM Tarbell 1995 Modeling interstitial flow in an artery wall allows estimation of wall shear stress on smooth muscle Cells J. Biomech. Eng. 117 3 358 364 8618390 10.1115/1.2794192 1:STN:280:DyaK287hsF2ltA%3D%3D
    • (1995) J. Biomech. Eng. , vol.117 , Issue.3 , pp. 358-364
    • Wang, D.M.1    Tarbell, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.