메뉴 건너뛰기




Volumn 52, Issue 5, 2006, Pages 571-594

Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory

Author keywords

Cell motility; Continuum mechanics; Mixture theory; Multiphase; Porous flow; Tissue engineering

Indexed keywords

POLYMER; WATER;

EID: 33645957316     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-005-0363-1     Document Type: Article
Times cited : (127)

References (65)
  • 1
    • 0000079636 scopus 로고    scopus 로고
    • Cytoplasm dynamics and cell motion: Two-phase flow models
    • Alt, W., Dembo, M.: Cytoplasm dynamics and cell motion: two-phase flow models. Math. Biosci. 156, 207-228 (1999)
    • (1999) Math. Biosci. , vol.156 , pp. 207-228
    • Alt, W.1    Dembo, M.2
  • 2
    • 25144517326 scopus 로고    scopus 로고
    • A mixture theory for the genesis of residual stresses in growing tissues I: A general formulation
    • Araujo, R.P., McElwain, D.L.S.: A mixture theory for the genesis of residual stresses in growing tissues I: A general formulation. SIAM J Appl. Math. 65, 1261-1284 (2005)
    • (2005) SIAM J. Appl. Math. , vol.65 , pp. 1261-1284
    • Araujo, R.P.1    McElwain, D.L.S.2
  • 3
    • 0016953740 scopus 로고
    • Continuum theories of mixtures: Basic theory and historical development
    • Atkin, R.J., Craine, R.E.: Continuum theories of mixtures: basic theory and historical development. Q. J. Mech. Appl. Math. 29, 209-244 (1976)
    • (1976) Q. J. Mech. Appl. Math. , vol.29 , pp. 209-244
    • Atkin, R.J.1    Craine, R.E.2
  • 4
    • 0031148830 scopus 로고    scopus 로고
    • An anisotropic biphasic theory of tissue-equivalent mechanics: The interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance
    • Barocas, V.H., Tranquillo, R.T.: An anisotropic biphasic theory of tissue-equivalent mechanics: the interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance. J. Biomech. Eng. 119, 137-145 (1997)
    • (1997) J. Biomech. Eng. , vol.119 , pp. 137-145
    • Barocas, V.H.1    Tranquillo, R.T.2
  • 6
    • 0002004386 scopus 로고
    • Theory of mixtures
    • A. C. Eringen (ed.), Academic Press
    • Bowen, R.M.: Theory of mixtures. In: A. C. Eringen (ed.), Continuum physics, pp. 1-127 Academic Press, 1976
    • (1976) Continuum Physics , pp. 1-127
    • Bowen, R.M.1
  • 7
    • 0019148092 scopus 로고
    • Incompressible porous media models by use of the theory of mixtures
    • Bowen, R.M.: Incompressible porous media models by use of the theory of mixtures. Int. J. Engng Sci. 18, 1129-1148 (1980)
    • (1980) Int. J. Engng. Sci. , vol.18 , pp. 1129-1148
    • Bowen, R.M.1
  • 8
    • 0036692144 scopus 로고    scopus 로고
    • The role of cell-cell interactions in a two-phase model for avascular tumour growth
    • Breward, C.J.W., Byrne, H.M., Lewis, C.E.: The role of cell-cell interactions in a two-phase model for avascular tumour growth J. Math. Biol. 45, 125-152 (2002)
    • (2002) J. Math. Biol. , vol.45 , pp. 125-152
    • Breward, C.J.W.1    Byrne, H.M.2    Lewis, C.E.3
  • 9
    • 0031320752 scopus 로고    scopus 로고
    • Free boundary value problems associated with the growth and development of multicellular spheroids
    • Byrne, H., Chaplain, M.A.J.: Free boundary value problems associated with the growth and development of multicellular spheroids. Eur. J. Appl. Math. 8 (6), 639-658 (1997)
    • (1997) Eur. J. Appl. Math. , vol.8 , Issue.6 , pp. 639-658
    • Byrne, H.1    Chaplain, M.A.J.2
  • 10
    • 0842281982 scopus 로고    scopus 로고
    • Modelling solid tumour growth using the theory of mixtures
    • Byrne, H., Preziosi, L.: Modelling solid tumour growth using the theory of mixtures. Math. Med. Biol. 20 (4), 341-366 (2003)
    • (2003) Math. Med. Biol. , vol.20 , Issue.4 , pp. 341-366
    • Byrne, H.1    Preziosi, L.2
  • 12
    • 0034526523 scopus 로고    scopus 로고
    • How is a tissue built?
    • Cowin, S.C.: How is a tissue built? J. Biomech. Eng. 122, 553-569 (2000)
    • (2000) J. Biomech. Eng. , vol.122 , pp. 553-569
    • Cowin, S.C.1
  • 13
    • 4444277314 scopus 로고    scopus 로고
    • Tissue growth and remodeling
    • Cowin, S.C.: Tissue growth and remodeling. Annu. Rev. Biomed. Eng. 6, 77-107 (2004)
    • (2004) Annu. Rev. Biomed. Eng. , vol.6 , pp. 77-107
    • Cowin, S.C.1
  • 14
    • 0037027391 scopus 로고    scopus 로고
    • Optimization of cardiac cell seeding and distribution in 3D porous alginate scaffolds
    • Dar, A., Shachar, M., Leor, J., Cohen, S.: Optimization of cardiac cell seeding and distribution in 3D porous alginate scaffolds. Biotechnol. Bioeng. 80, 305-312 (2002)
    • (2002) Biotechnol. Bioeng. , vol.80 , pp. 305-312
    • Dar, A.1    Shachar, M.2    Leor, J.3    Cohen, S.4
  • 15
    • 0033081522 scopus 로고    scopus 로고
    • Osteoblast population migration characteristics on substrates modified with immobilized adhesive peptides
    • Dee, K.C., Andersen, T.T., Bizios, R.: Osteoblast population migration characteristics on substrates modified with immobilized adhesive peptides. Biomaterials 20, 221-227 (1999)
    • (1999) Biomaterials , vol.20 , pp. 221-227
    • Dee, K.C.1    Andersen, T.T.2    Bizios, R.3
  • 16
    • 0022510406 scopus 로고
    • Cell motion contractile networks and the physics of interpenetrating reactive flow
    • Dembo, M., Harlow, F.: Cell motion contractile networks and the physics of interpenetrating reactive flow. Biophys. J. 50, 109-121 (1986)
    • (1986) Biophys. J. , vol.50 , pp. 109-121
    • Dembo, M.1    Harlow, F.2
  • 17
    • 0020547432 scopus 로고
    • Mathematical modeling of two-phase flow
    • Drew, D.A.: Mathematical modeling of two-phase flow. Ann. Rev. Fluid Mech. 15, 261-291 (1983)
    • (1983) Ann. Rev. Fluid Mech. , vol.15 , pp. 261-291
    • Drew, D.A.1
  • 19
    • 0015124675 scopus 로고
    • Averaged equations for two-phase flows
    • Drew, D.A., Segel, L.A.: Averaged equations for two-phase flows. Stud. Appl. Math. L 3, 205-231 (1971)
    • (1971) Stud. Appl. Math. L , vol.3 , pp. 205-231
    • Drew, D.A.1    Segel, L.A.2
  • 20
    • 0027415226 scopus 로고
    • Cellular automata approaches to biological modeling
    • Ermentrout, G.B., Edelstein-Keshet, L.: Cellular automata approaches to biological modeling. J. Theor. Biol. 160, 97-133 (1993)
    • (1993) J. Theor. Biol. , vol.160 , pp. 97-133
    • Ermentrout, G.B.1    Edelstein-Keshet, L.2
  • 21
    • 0031956939 scopus 로고    scopus 로고
    • Viscoelastic properties of living embryonic tissues: A quantitative study
    • Forgacs, G., Foty, R.A., Shafrir, Y., Steinberg, M.S.: Viscoelastic properties of living embryonic tissues: a quantitative study. Biophys. J. 74, 2227-2234 (1998)
    • (1998) Biophys. J. , vol.74 , pp. 2227-2234
    • Forgacs, G.1    Foty, R.A.2    Shafrir, Y.3    Steinberg, M.S.4
  • 22
    • 0001111374 scopus 로고
    • Liquid properties of embryonic-tissues - Measurement of interfacial-tensions
    • Foty, R.A., Forgacs, G., Pfleger, C.M., Steinberg, M.S.: Liquid properties of embryonic-tissues - measurement of interfacial-tensions. Phys. Rev. Lett. 72 (14), 2298-2301 (1994)
    • (1994) Phys. Rev. Lett. , vol.72 , Issue.14 , pp. 2298-2301
    • Foty, R.A.1    Forgacs, G.2    Pfleger, C.M.3    Steinberg, M.S.4
  • 23
    • 0343145707 scopus 로고    scopus 로고
    • Analysis of cell growth in a polymer scaffold using a moving boundary approach
    • Galban, C.J., Locke, B.R.: Analysis of cell growth in a polymer scaffold using a moving boundary approach. Biotechnol. Bioeng. 56 (4), 422-432 (1997)
    • (1997) Biotechnol. Bioeng. , vol.56 , Issue.4 , pp. 422-432
    • Galban, C.J.1    Locke, B.R.2
  • 24
    • 2442623475 scopus 로고    scopus 로고
    • A continuum treatment of growth in biological tissue: The coupling of mass transport and mechanics
    • Garikipati, K., Arruda, E.M., Grosh K., Narayanan H., Calve, S.: A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics. J. Mech. Phys. Solids. 52, 1595-1625 (2004)
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1595-1625
    • Garikipati, K.1    Arruda, E.M.2    Grosh, K.3    Narayanan, H.4    Calve, S.5
  • 25
    • 0003124605 scopus 로고    scopus 로고
    • Quantitative aspects of tissue engineering: Basic issues in kinetics transport and mechanics
    • R Lanzer and R Langer and W Chick (ed.), R.G. Landes Company
    • Grodzinsky, A.J., Kamm, R.D., Lauffenburger, D.A.: Quantitative aspects of tissue engineering: basic issues in kinetics transport and mechanics. In: R Lanzer and R Langer and W Chick (ed.), Principles of Tissue Engineering. pp. 193-207 R.G. Landes Company, 1997
    • (1997) Principles of Tissue Engineering , pp. 193-207
    • Grodzinsky, A.J.1    Kamm, R.D.2    Lauffenburger, D.A.3
  • 26
    • 0031354693 scopus 로고    scopus 로고
    • Virtual configurations and constitutive equations for residually stressed bodies with material symmetry
    • Hoger, A.: Virtual configurations and constitutive equations for residually stressed bodies with material symmetry. J. Elast. 48 (2), 125-144 (1997)
    • (1997) J. Elast. , vol.48 , Issue.2 , pp. 125-144
    • Hoger, A.1
  • 27
    • 1542344953 scopus 로고    scopus 로고
    • Continuum biomechanics of soft biological tissues
    • Humphrey, J.D.: Continuum biomechanics of soft biological tissues. Proc. R. Soc. Lond. A 459, 3-46 (2003)
    • (2003) Proc. R. Soc. Lond. A , vol.459 , pp. 3-46
    • Humphrey, J.D.1
  • 28
    • 0036013702 scopus 로고    scopus 로고
    • A constrained mixture model for growth and remodeling of soft tissues
    • Humphrey, J.D., Rajagopal, K.R.: A constrained mixture model for growth and remodeling of soft tissues. Math. Mod. Meth. Appl. S. 12, 407-430 (2002)
    • (2002) Math. Mod. Meth. Appl. S. , vol.12 , pp. 407-430
    • Humphrey, J.D.1    Rajagopal, K.R.2
  • 29
    • 0036200974 scopus 로고    scopus 로고
    • Knee osteoarthritis: The influence of environmental factors
    • Hunter, D.J., March, L., Sambrook, P.N.: Knee osteoarthritis: The influence of environmental factors. Clin. Exp. Rheumatol. 20 (1), 93-100 (2002)
    • (2002) Clin. Exp. Rheumatol. , vol.20 , Issue.1 , pp. 93-100
    • Hunter, D.J.1    March, L.2    Sambrook, P.N.3
  • 30
    • 0000899969 scopus 로고
    • A continuum theory of chemically reacting media - II Constitutive equations of reacting fluid mixtures
    • Ingram, J.D., Eringen, A.C.: A continuum theory of chemically reacting media - II Constitutive equations of reacting fluid mixtures. Int. J. Engng Sci. 5, 289-322 (1967)
    • (1967) Int. J. Engng. Sci. , vol.5 , pp. 289-322
    • Ingram, J.D.1    Eringen, A.C.2
  • 32
    • 0032144180 scopus 로고    scopus 로고
    • Three-dimensional culture of rat calvarial osteoblasts in porous biodegradable polymers
    • Ishuag-Riley, S.L., Crane-Kruger, G.M., Yaszemski, M.J., Mikos, A.G.: Three-dimensional culture of rat calvarial osteoblasts in porous biodegradable polymers. Biomaterials 19, 1405-1412 (1998)
    • (1998) Biomaterials , vol.19 , pp. 1405-1412
    • Ishuag-Riley, S.L.1    Crane-Kruger, G.M.2    Yaszemski, M.J.3    Mikos, A.G.4
  • 33
    • 0037133564 scopus 로고    scopus 로고
    • Abnormal accumulation of hyaluronan matrix diminishes contact inhibition of cell growth and promotes cell migration
    • USA
    • Itano, N., Atsumi, F., Sawai, T., Yamada, Y., Miyaishi, O., Senga, T., Hamaguchi, M., Kimata, K.: Abnormal accumulation of hyaluronan matrix diminishes contact inhibition of cell growth and promotes cell migration. P. Natl. Acad. Sci. USA 99 (6), 3609-3614 (2002)
    • (2002) P. Natl. Acad. Sci. , vol.99 , Issue.6 , pp. 3609-3614
    • Itano, N.1    Atsumi, F.2    Sawai, T.3    Yamada, Y.4    Miyaishi, O.5    Senga, T.6    Hamaguchi, M.7    Kimata, K.8
  • 34
    • 1542267824 scopus 로고    scopus 로고
    • Engineering biological structures of prescribed shape using self-assembling multicellular systems
    • USA
    • Jakab, K., Neagu, A., Mironov, V., Markwald, R.R., Forgacs, G.: Engineering biological structures of prescribed shape using self-assembling multicellular systems. P. Natl. Acad. Sci. USA. 101 (9), 2864-2869 (2004)
    • (2004) P. Natl. Acad. Sci. , vol.101 , Issue.9 , pp. 2864-2869
    • Jakab, K.1    Neagu, A.2    Mironov, V.3    Markwald, R.R.4    Forgacs, G.5
  • 35
    • 0026203776 scopus 로고
    • A triphasic theory for the swelling and deformational behaviours of articular cartilage
    • Lai, W.M., Hou, J.S., Mow, V.C.: A triphasic theory for the swelling and deformational behaviours of articular cartilage. J. Biomech. Eng. 113, 245-258 (1991)
    • (1991) J. Biomech. Eng. , vol.113 , pp. 245-258
    • Lai, W.M.1    Hou, J.S.2    Mow, V.C.3
  • 36
    • 0034954975 scopus 로고    scopus 로고
    • Tumour dynamics and necrosis: Surface tension and stability
    • Landman, K.A., Please, C.P.: Tumour dynamics and necrosis: surface tension and stability. Math. Med. Biol. 18, 131-158 (2001)
    • (2001) Math. Med. Biol. , vol.18 , pp. 131-158
    • Landman, K.A.1    Please, C.P.2
  • 37
    • 0027595948 scopus 로고
    • Tissue Engineering
    • Langer, R., Vacanti, J.P.: Tissue Engineering. Science 260, 920-926 (1993)
    • (1993) Science , vol.260 , pp. 920-926
    • Langer, R.1    Vacanti, J.P.2
  • 38
    • 0242386325 scopus 로고    scopus 로고
    • Organic tissues in rotating bioreactors: Fluid-mechanical aspects dynamic growth models, and morphological evolution
    • Lappa, M.: Organic tissues in rotating bioreactors: fluid-mechanical aspects dynamic growth models, and morphological evolution. Biotechnol. Bioeng. 84 (5), 518-532 (2003)
    • (2003) Biotechnol. Bioeng. , vol.84 , Issue.5 , pp. 518-532
    • Lappa, M.1
  • 40
    • 0037732936 scopus 로고    scopus 로고
    • Macroporous biphasic calcium phosphate scaffold with high permeability/porosity ratio
    • Li, S.H., de Wijn, J.R., Layrolle, P., de Groot, K.: Macroporous biphasic calcium phosphate scaffold with high permeability/porosity ratio. Tissue Eng. 9 (3), 535-548 (2003)
    • (2003) Tissue Eng. , vol.9 , Issue.3 , pp. 535-548
    • Li, S.H.1    De Wijn, J.R.2    Layrolle, P.3    De Groot, K.4
  • 41
    • 2942609142 scopus 로고    scopus 로고
    • Multicellular computer simulation of morphogenesis: Blastocoel roof thinning and matrix assembly in Xenopus laevis
    • Longo, D., Peirce, S.A., Skalak, T.C., Davidson, L., Marsden, M., Dzamba, B., DeSimone, D.W.: Multicellular computer simulation of morphogenesis: blastocoel roof thinning and matrix assembly in Xenopus laevis. Dev. Biol. 271 (1), 210-222 (2004)
    • (2004) Dev. Biol. , vol.271 , Issue.1 , pp. 210-222
    • Longo, D.1    Peirce, S.A.2    Skalak, T.C.3    Davidson, L.4    Marsden, M.5    Dzamba, B.6    DeSimone, D.W.7
  • 42
    • 0036111747 scopus 로고    scopus 로고
    • Multiphase mechanics of capsule formation in tumors
    • Lubkin, S.R., Jackson, T.: Multiphase mechanics of capsule formation in tumors. J. Biomech. Eng. 124 (2), 237-243 (2002)
    • (2002) J. Biomech. Eng. , vol.124 , Issue.2 , pp. 237-243
    • Lubkin, S.R.1    Jackson, T.2
  • 44
    • 0037706865 scopus 로고    scopus 로고
    • Osteoblasts: Novel roles in orchestration of skeletal architecture
    • Mackie, E.J.: Osteoblasts: novel roles in orchestration of skeletal architecture. Int. J. Biochem. Cell. B. 35 (9), 1301-1305 (2003)
    • (2003) Int. J. Biochem. Cell. B. , vol.35 , Issue.9 , pp. 1301-1305
    • Mackie, E.J.1
  • 45
    • 0019929594 scopus 로고
    • On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media
    • Marle, C.M.: On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media. Int. J. Engng Sci. 20 (5), 643-662 (1982)
    • (1982) Int. J. Engng. Sci. , vol.20 , Issue.5 , pp. 643-662
    • Marle, C.M.1
  • 46
    • 1642563967 scopus 로고    scopus 로고
    • The role of bioreactors in tissue engineering
    • Martin, I., Wendt, D., Heberer, M.: The role of bioreactors in tissue engineering. Trends Biotechnol. 22, 80-86 (2004)
    • (2004) Trends Biotechnol. , vol.22 , pp. 80-86
    • Martin, I.1    Wendt, D.2    Heberer, M.3
  • 47
    • 0037374881 scopus 로고    scopus 로고
    • Constitutive relations for the interaction force in multicomponent particulate flows
    • Massoudi, M.: Constitutive relations for the interaction force in multicomponent particulate flows. Int. J. Nonlinear. Mech. 38 (3), 313-336 (2003)
    • (2003) Int. J. Nonlinear. Mech. , vol.38 , Issue.3 , pp. 313-336
    • Massoudi, M.1
  • 48
    • 0035812493 scopus 로고    scopus 로고
    • Effects of medium perfusion on matrix production by bovine chondrocytes in three-dimensional collagen sponges
    • Mizuno, S., Alleman, F., Glowacki, J.: Effects of medium perfusion on matrix production by bovine chondrocytes in three-dimensional collagen sponges. J. Biomed. Mater. Res. 56 (3), 368-375 (2001)
    • (2001) J. Biomed. Mater. Res. , vol.56 , Issue.3 , pp. 368-375
    • Mizuno, S.1    Alleman, F.2    Glowacki, J.3
  • 50
    • 0018983548 scopus 로고
    • Biphasic creep and stress relaxation of articular cartilage in compression: Theory and experiment
    • Mow, V.C., Kuei, S.C., Lai, W.M., Armstrong, C.G.: Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiment. J. Biomech. Eng. 102, 73-84 (1980)
    • (1980) J. Biomech. Eng. , vol.102 , pp. 73-84
    • Mow, V.C.1    Kuei, S.C.2    Lai, W.M.3    Armstrong, C.G.4
  • 52
    • 1542598903 scopus 로고    scopus 로고
    • Bone and joint diseases around the world. The UK perspective
    • Palferman, T.G.: Bone and joint diseases around the world. The UK perspective. J. Rheumatol. 30, 33-35 (2003)
    • (2003) J. Rheumatol. , vol.30 , pp. 33-35
    • Palferman, T.G.1
  • 53
    • 2342500358 scopus 로고    scopus 로고
    • In vitro assessment of cell penetration into porous hydroxyapatite scaffolds with a central aligned channel
    • Rose, F.R., Cyster, L.A., Grant, D.M., Scotchford, C.A., Howdle, S.M., Shakesheff, K.M.: In vitro assessment of cell penetration into porous hydroxyapatite scaffolds with a central aligned channel. Biomaterials 25 (24), 5507-5514 (2004)
    • (2004) Biomaterials , vol.25 , Issue.24 , pp. 5507-5514
    • Rose, F.R.1    Cyster, L.A.2    Grant, D.M.3    Scotchford, C.A.4    Howdle, S.M.5    Shakesheff, K.M.6
  • 54
    • 0344306399 scopus 로고    scopus 로고
    • Performance of degradable composite bone repair products made via three-dimensional fabrication techniques
    • Roy, T.D., Simon, J.L., Ricci, J.L., Rekow, E.D., Thompson, V.P., Parsons, J.R.: Performance of degradable composite bone repair products made via three-dimensional fabrication techniques. J. Biomed. Mater. Res. A 66, 283-291 (2003)
    • (2003) J. Biomed. Mater. Res. A , vol.66 , pp. 283-291
    • Roy, T.D.1    Simon, J.L.2    Ricci, J.L.3    Rekow, E.D.4    Thompson, V.P.5    Parsons, J.R.6
  • 55
    • 0035836686 scopus 로고    scopus 로고
    • Tissue spreading on implantable substrates is a competitive outcome of cell-cell vs. cell-substratum adhesivity
    • USA
    • Ryan, P.L., Foty, R.A., Kohn, J., Steinberg, M.S.: Tissue spreading on implantable substrates is a competitive outcome of cell-cell vs. cell-substratum adhesivity. P. Natl. Acad. Sci. USA. 98 (8), 4323-4327 (2001)
    • (2001) P. Natl. Acad. Sci. , vol.98 , Issue.8 , pp. 4323-4327
    • Ryan, P.L.1    Foty, R.A.2    Kohn, J.3    Steinberg, M.S.4
  • 56
    • 0037360298 scopus 로고    scopus 로고
    • Concentric cylinder bioreactor for production of tissue engineered cartilage: Effect of seeding density and hydrodynamic loading on construct development
    • Saini, S., Wick, T.M.: Concentric cylinder bioreactor for production of tissue engineered cartilage: Effect of seeding density and hydrodynamic loading on construct development. Biotechnol. Prog. 19 (2), 510-521 (2003)
    • (2003) Biotechnol. Prog. , vol.19 , Issue.2 , pp. 510-521
    • Saini, S.1    Wick, T.M.2
  • 57
    • 2442459590 scopus 로고    scopus 로고
    • An integrated finite-element approach to mechanics transport and biosynthesis in tissue engineering
    • Sengers, B.G., Oomens, C.W.J., Baaijens, F.P.T.: An integrated finite-element approach to mechanics transport and biosynthesis in tissue engineering. J. Biomech. Eng. 126, 82-90 (2004)
    • (2004) J. Biomech. Eng. , vol.126 , pp. 82-90
    • Sengers, B.G.1    Oomens, C.W.J.2    Baaijens, F.P.T.3
  • 58
    • 2942536383 scopus 로고    scopus 로고
    • Engineering structurally organized cartilage and bone tissues
    • Sharma, B., Elisseeff, J.H.: Engineering structurally organized cartilage and bone tissues. Ann. Biomed. Eng. 32 (1), 148-159 (2004)
    • (2004) Ann. Biomed. Eng. , vol.32 , Issue.1 , pp. 148-159
    • Sharma, B.1    Elisseeff, J.H.2
  • 59
    • 17144463906 scopus 로고
    • Flows of nonlinear fluids through porous media
    • Sheffield, R.E., Metzner, A.B.: Flows of nonlinear fluids through porous media. AIChE J. 22 (4), 736-744 (1976)
    • (1976) AIChE J. , vol.22 , Issue.4 , pp. 736-744
    • Sheffield, R.E.1    Metzner, A.B.2
  • 62
    • 0029679856 scopus 로고    scopus 로고
    • Compatibility and the genesis of residual stress by volumetric growth
    • Skalak, R., Zargaryan. S., Jain, R.K., Netti, P.A., Hoger, A.: Compatibility and the genesis of residual stress by volumetric growth. J. Math. Biol. 34 (8), 889-914 (1996)
    • (1996) J. Math. Biol. , vol.34 , Issue.8 , pp. 889-914
    • Skalak, R.1    Zargaryan, S.2    Jain, R.K.3    Netti, P.A.4    Hoger, A.5
  • 63
    • 0035129867 scopus 로고    scopus 로고
    • Tissue engineering: Current state and prospects
    • Stock, U.A., Vacanti, J.P.: Tissue engineering: current state and prospects. Annu. Rev. Med. 52, 443-451 (2001)
    • (2001) Annu. Rev. Med. , vol.52 , pp. 443-451
    • Stock, U.A.1    Vacanti, J.P.2
  • 64
    • 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., Mow, V.C.: A mixed finite element formulation of triphasic mechano-electrochemical theory for charged hydrated biological soft tissues. Int. J. Numer. Meth. Eng. 45, 1375-1402 (1999)
    • (1999) Int. J. Numer. Meth. Eng. , vol.45 , pp. 1375-1402
    • Sun, D.N.1    Gu, W.Y.2    Guo, X.E.3    Lai, W.M.4    Mow, V.C.5
  • 65
    • 0002565890 scopus 로고
    • The nonlinear field theory of mechanics
    • S. Flugge (ed.), Springer
    • Truesdell, C., Noll, W.: The nonlinear field theory of mechanics. In: S. Flugge (ed.), Handbuch der Physik, Springer, 1960
    • (1960) Handbuch der Physik
    • Truesdell, C.1    Noll, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.