메뉴 건너뛰기




Volumn 6, Issue 6, 2007, Pages 423-445

Erratum: On the theory of reactive mixtures for modeling biological growth (Biomechan Model Mechanobiol DOI: 10.1007/s10237-006-0070-x);On the theory of reactive mixtures for modeling biological growth

Author keywords

Biological growth and remodeling; Mixture theory; Reactive charged mixtures

Indexed keywords

ENTROPY; FLUIDS; MASS TRANSFER; MIXTURES; REACTIVE MOLDING;

EID: 34648821555     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-007-0092-z     Document Type: Erratum
Times cited : (176)

References (66)
  • 2
    • 0742321990 scopus 로고    scopus 로고
    • The correspondence between equilibrium biphasic and triphasic material properties in mixture models of articular cartilage
    • 3
    • Ateshian GA, Chahine NO, Basalo IM, Hung CT (2004) The correspondence between equilibrium biphasic and triphasic material properties in mixture models of articular cartilage. J Biomech 37(3):391-400
    • (2004) J Biomech , vol.37 , pp. 391-400
    • Ateshian, G.A.1    Chahine, N.O.2    Basalo, I.M.3    Hung, C.T.4
  • 3
    • 29744450274 scopus 로고    scopus 로고
    • A mixture theory analysis for passive transport in osmotic loading of cells
    • 3
    • Ateshian GA, Likhitpanichkul M, Hung CT (2006) A mixture theory analysis for passive transport in osmotic loading of cells. J Biomech 39(3):464-475
    • (2006) J Biomech , vol.39 , pp. 464-475
    • Ateshian, G.A.1    Likhitpanichkul, M.2    Hung, C.T.3
  • 4
    • 0032075805 scopus 로고    scopus 로고
    • Incompressibility of the solid matrix of articular cartilage under high hydrostatic pressures
    • 5
    • Bachrach NM, Mow VC, Guilak F (1998) Incompressibility of the solid matrix of articular cartilage under high hydrostatic pressures. J Biomech 31(5):445-451
    • (1998) J Biomech , vol.31 , pp. 445-451
    • Bachrach, N.M.1    Mow, V.C.2    Guilak, F.3
  • 5
    • 33645723580 scopus 로고    scopus 로고
    • A theoretical model of enlarging intracranial fusiform aneurysms
    • 1
    • Baek S, Rajagopal KR, Humphrey JD (2006) A theoretical model of enlarging intracranial fusiform aneurysms. J Biomech Eng 128(1):142-149
    • (2006) J Biomech Eng , vol.128 , pp. 142-149
    • Baek, S.1    Rajagopal, K.R.2    Humphrey, J.D.3
  • 6
    • 0032520708 scopus 로고    scopus 로고
    • Mechanical properties of the collagen network in human articular cartilage as measured by osmotic stress technique
    • 2
    • Basser PJ, Schneiderman R, Bank RA, Wachtel E, Maroudas A (1998) Mechanical properties of the collagen network in human articular cartilage as measured by osmotic stress technique. Arch Biochem Biophys 351(2):207-219
    • (1998) Arch Biochem Biophys , vol.351 , pp. 207-219
    • Basser, P.J.1    Schneiderman, R.2    Bank, R.A.3    Wachtel, E.4    Maroudas, A.5
  • 7
    • 0020547826 scopus 로고
    • Recent advances theories of immiscible and structured mixtures
    • 8
    • Bedford A, Drumheller DS (1983) Recent advances theories of immiscible and structured mixtures. Int J Eng Sci 21(8): 863-960
    • (1983) Int J Eng Sci , vol.21 , pp. 863-960
    • Bedford, A.1    Drumheller, D.S.2
  • 8
    • 36849137954 scopus 로고
    • Mechanics of deformation and acoustic propagation in porous media
    • 4
    • Biot M (1962) Mechanics of deformation and acoustic propagation in porous media. J Appl Phys 33(4):1482-1498
    • (1962) J Appl Phys , vol.33 , pp. 1482-1498
    • Biot, M.1
  • 9
    • 0000597748 scopus 로고
    • Theory of finite deformations of porous solids
    • 7
    • Biot MA (1972) Theory of finite deformations of porous solids. Indiana U Math J 21(7):597-620
    • (1972) Indiana U Math J , vol.21 , pp. 597-620
    • Biot, M.A.1
  • 10
    • 0043199004 scopus 로고
    • Thermochemistry of reacting materials
    • 4
    • Bowen RM (1968) Thermochemistry of reacting materials. J Chem Phys 49(4):1625-1637
    • (1968) J Chem Phys , vol.49 , pp. 1625-1637
    • Bowen, R.M.1
  • 11
    • 0001873459 scopus 로고
    • The thermochemistry of a reacting mixture of elastic materials with diffusion
    • 2
    • Bowen RM (1969) The thermochemistry of a reacting mixture of elastic materials with diffusion. Arch Ration Mech An 34(2):97-127
    • (1969) Arch Ration Mech An , vol.34 , pp. 97-127
    • Bowen, R.M.1
  • 13
    • 0019148092 scopus 로고
    • Incompressible porous media models by use of the theory of mixtures
    • 9
    • Bowen RM (1980) Incompressible porous media models by use of the theory of mixtures. Int J Eng Sci 18(9):1129-1148
    • (1980) Int J Eng Sci , vol.18 , pp. 1129-1148
    • Bowen, R.M.1
  • 14
    • 0020006949 scopus 로고
    • Compressible porous media models by use of the theory of mixtures
    • 6
    • Bowen RM (1982) Compressible porous media models by use of the theory of mixtures. Int J Eng Sci 20(6):697-735
    • (1982) Int J Eng Sci , vol.20 , pp. 697-735
    • Bowen, R.M.1
  • 15
    • 2942724173 scopus 로고    scopus 로고
    • Anisotropic strain-dependent material properties of bovine articular cartilage in the transitional range from tension to compression
    • 8
    • Chahine NO, Wang CC, Hung CT, Ateshian GA (2004) Anisotropic strain-dependent material properties of bovine articular cartilage in the transitional range from tension to compression. J Biomech 37(8):1251-1261
    • (2004) J Biomech , vol.37 , pp. 1251-1261
    • Chahine, N.O.1    Wang, C.C.2    Hung, C.T.3    Ateshian, G.A.4
  • 16
    • 0034445464 scopus 로고    scopus 로고
    • Constitutive functions of elastic materials in finite growth and deformation
    • Chen YC, Hoger A (2000) Constitutive functions of elastic materials in finite growth and deformation. J Elast 59: 175-193
    • (2000) J Elast , vol.59 , pp. 175-193
    • Chen, Y.C.1    Hoger, A.2
  • 17
    • 0021040107 scopus 로고
    • The mechanical and stress adaptive properties of bone
    • Cowin SC (1983) The mechanical and stress adaptive properties of bone. Ann Biomed Eng 11:263-295
    • (1983) Ann Biomed Eng , vol.11 , pp. 263-295
    • Cowin, S.C.1
  • 18
    • 0016974131 scopus 로고
    • Bone remodeling-1, theory of adaptive elasticity
    • 3
    • Cowin SC, Hegedus DH (1976) Bone remodeling-1, theory of adaptive elasticity. J Elast 6(3):313-326
    • (1976) J Elast , vol.6 , pp. 313-326
    • Cowin, S.C.1    Hegedus, D.H.2
  • 19
    • 0028756152 scopus 로고
    • Conewise linear elastic materials
    • Curnier A, He QC, Zysset P (1995) Conewise linear elastic materials. J Elast 37:1-38
    • (1995) J Elast , vol.37 , pp. 1-38
    • Curnier, A.1    He, Q.C.2    Zysset, P.3
  • 21
    • 0023281838 scopus 로고
    • The kinetics of chemically induced nonequilibrium swelling of articular cartilage and corneal stroma
    • 1
    • Eisenberg SR, Grodzinsky AJ (1987) The kinetics of chemically induced nonequilibrium swelling of articular cartilage and corneal stroma. J Biomech Eng 109(1):79-89
    • (1987) J Biomech Eng , vol.109 , pp. 79-89
    • Eisenberg, S.R.1    Grodzinsky, A.J.2
  • 22
    • 0032035953 scopus 로고    scopus 로고
    • A mixture theory of electromagnetism and superconductivity
    • 5/6
    • Eringen AE (1998) A mixture theory of electromagnetism and superconductivity. Int J Eng Sci 36(5/6):525-543
    • (1998) Int J Eng Sci , vol.36 , pp. 525-543
    • Eringen, A.E.1
  • 23
    • 0001067931 scopus 로고
    • Continuum theory of chemically reacting media-1
    • Eringen A, Ingram J (1965) Continuum theory of chemically reacting media-1. Int J Eng Sci 3:197-212
    • (1965) Int J Eng Sci , vol.3 , pp. 197-212
    • Eringen, A.1    Ingram, J.2
  • 25
    • 2442623475 scopus 로고    scopus 로고
    • A continuum treatment of growth in biological tissue: The coupling of mass transport and mechanics
    • 7
    • Garikipati K, Arruda E, Grosh K, Narayanan H, Calve S (2004) A continuum treatment of growth in biological tissue: the coupling of mass transport and mechanics. J Mech Phys Solids 52(7):1595-1625
    • (2004) J Mech Phys Solids , vol.52 , pp. 1595-1625
    • Garikipati, K.1    Arruda, E.2    Grosh, K.3    Narayanan, H.4    Calve, S.5
  • 26
    • 0024887169 scopus 로고
    • Dynamic membranes for protein transport: Chemical and electrical control
    • 4
    • Grimshaw PE, Grodzinsky AJ, Yarmush ML, Yarmush DM (1989) Dynamic membranes for protein transport: chemical and electrical control. Chem Eng Sci 44(4):827-840
    • (1989) Chem Eng Sci , vol.44 , pp. 827-840
    • Grimshaw, P.E.1    Grodzinsky, A.J.2    Yarmush, M.L.3    Yarmush, D.M.4
  • 27
    • 36549090939 scopus 로고
    • Kinetics of electrically and chemically induced swelling in polyelectrolyte gels
    • 6
    • Grimshaw PE, Nussbaum JH, Grodzinsky AJ, Yarmush ML (1990) Kinetics of electrically and chemically induced swelling in polyelectrolyte gels. J Chem Phys 93(6):4462-4472
    • (1990) J Chem Phys , vol.93 , pp. 4462-4472
    • Grimshaw, P.E.1    Nussbaum, J.H.2    Grodzinsky, A.J.3    Yarmush, M.L.4
  • 28
    • 0020547510 scopus 로고
    • Electromechanical and physicochemical properties of connective tissue
    • 2
    • Grodzinsky AJ (1983) Electromechanical and physicochemical properties of connective tissue. Crit Rev Biomed Eng 9(2):133-199
    • (1983) Crit Rev Biomed Eng , vol.9 , pp. 133-199
    • Grodzinsky, A.J.1
  • 29
    • 0027609096 scopus 로고
    • Transport of fluid and ions through a porous-permeable charged-hydrated tissue, and streaming potential data on normal bovine articular cartilage
    • 6
    • Gu WY, Lai WM, Mow VC (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):709-723
    • (1993) J Biomech , vol.26 , pp. 709-723
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 30
    • 0031060066 scopus 로고    scopus 로고
    • A triphasic analysis of negative osmotic flows through charged hydrated soft tissues
    • 1
    • Gu WY, Lai WM, Mow VC (1997) A triphasic analysis of negative osmotic flows through charged hydrated soft tissues. J Biomech 30(1):71-78
    • (1997) J Biomech , vol.30 , pp. 71-78
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 31
    • 0032053771 scopus 로고    scopus 로고
    • A mixture theory for charged-hydrated soft tissues containing multi-electrolytes: Passive transport and swelling behaviors
    • 2
    • Gu WY, Lai WM, Mow VC (1998) A mixture theory for charged-hydrated soft tissues containing multi-electrolytes: passive transport and swelling behaviors. J Biomech Eng 120(2): 169-180
    • (1998) J Biomech Eng , vol.120 , pp. 169-180
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 34
    • 0025241673 scopus 로고
    • The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration
    • 11
    • Holmes MH, Mow VC (1990) The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration. J Biomech 23(11):1145-1156
    • (1990) J Biomech , vol.23 , pp. 1145-1156
    • Holmes, M.H.1    Mow, V.C.2
  • 35
    • 0024569799 scopus 로고
    • Boundary conditions at the cartilage-synovial fluid interface for joint lubrication and theoretical verifications
    • 1
    • Hou JS, Holmes MH, Lai WM, Mow VC (1989) Boundary conditions at the cartilage-synovial fluid interface for joint lubrication and theoretical verifications. J Biomech Eng 111(1):78-87
    • (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
  • 36
    • 0001468579 scopus 로고
    • The influences of mechanical loads on the form of a growing elastic body
    • 4
    • Hsu FH (1968) The influences of mechanical loads on the form of a growing elastic body. J Biomech 1(4):303-311
    • (1968) J Biomech , vol.1 , pp. 303-311
    • Hsu, F.H.1
  • 38
    • 0036013702 scopus 로고    scopus 로고
    • A constrained mixture model for growth and remodeling of soft tissues
    • 3
    • Humphrey JD, Rajagopal KR (2002) A constrained mixture model for growth and remodeling of soft tissues. Math Mod Meth Appl S 12(3):407-430
    • (2002) Math Mod Meth Appl S , vol.12 , pp. 407-430
    • Humphrey, J.D.1    Rajagopal, K.R.2
  • 39
    • 3042739820 scopus 로고    scopus 로고
    • A constrained mixture model for arterial adaptations to a sustained step change in blood flow
    • 2
    • Humphrey JD, Rajagopal KR (2003) A constrained mixture model for arterial adaptations to a sustained step change in blood flow. Biomech Model Mechanobiol 2(2):109-126
    • (2003) Biomech Model Mechanobiol , vol.2 , pp. 109-126
    • Humphrey, J.D.1    Rajagopal, K.R.2
  • 40
    • 0031150114 scopus 로고    scopus 로고
    • Quadriphasic mechanics of swelling incompressible porous media
    • 8
    • Huyghe JM, Janssen JD (1997) Quadriphasic mechanics of swelling incompressible porous media. Int J Eng Sci 35(8): 793-802
    • (1997) Int J Eng Sci , vol.35 , pp. 793-802
    • Huyghe, J.M.1    Janssen, J.D.2
  • 42
    • 35148898947 scopus 로고
    • Nonequilibrium thermodynamics in biophysics
    • Harvard University Press, Cambridge
    • Katzir-Katchalsky A, Curran PF (1965) Nonequilibrium thermodynamics in biophysics. Harvard books in biophysics; no. 1. Harvard University Press, Cambridge
    • (1965) Harvard Books in Biophysics , vol.1
    • Katzir-Katchalsky, A.1    Curran, P.F.2
  • 43
    • 0017269080 scopus 로고
    • Transient filtration in a porous elastic cylinder
    • Ser E
    • Kenyon DE (1976) Transient filtration in a porous elastic cylinder. J Appl Mech 43 Ser E(4):594-598
    • (1976) J Appl Mech , vol.43 , Issue.4 , pp. 594-598
    • De, K.1
  • 44
    • 0037398739 scopus 로고    scopus 로고
    • A growth mixture theory for cartilage with application to growth-related experiments on cartilage explants
    • 2
    • Klisch SM, Chen SS, Sah RL, Hoger A (2003) A growth mixture theory for cartilage with application to growth-related experiments on cartilage explants. J Biomech Eng 125(2):169-179
    • (2003) J Biomech Eng , vol.125 , pp. 169-179
    • Klisch, S.M.1    Chen, S.S.2    Sah, R.L.3    Hoger, A.4
  • 45
    • 0026203776 scopus 로고
    • A triphasic theory for the swelling and deformation behaviors of articular cartilage
    • 3
    • Lai WM, Hou JS, Mow VC (1991) A triphasic theory for the swelling and deformation behaviors of articular cartilage. J Biomech Eng 113(3):245-158
    • (1991) J Biomech Eng , vol.113 , pp. 245-158
    • Lai, W.M.1    Hou, J.S.2    Mow, V.C.3
  • 47
    • 33645957316 scopus 로고    scopus 로고
    • Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
    • 5
    • Lemon G, King JR, Byrne HM, Jensen OE, Shakesheff KM (2006) Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory. J Math Biol 52(5):571-594
    • (2006) J Math Biol , vol.52 , pp. 571-594
    • Lemon, G.1    King, J.R.2    Byrne, H.M.3    Jensen, O.E.4    Shakesheff, K.M.5
  • 48
    • 0001648998 scopus 로고
    • On chemical potential and incompressible porous media
    • 2
    • Liu IS (1980) On chemical potential and incompressible porous media. J Mec 19(2):327-342
    • (1980) J Mec , vol.19 , pp. 327-342
    • Liu, I.S.1
  • 49
    • 0017290857 scopus 로고
    • Balance between swelling pressure and collagen tension in normal and degenerate cartilage
    • 5554
    • Maroudas AI (1976) Balance between swelling pressure and collagen tension in normal and degenerate cartilage. Nature 260(5554):808-809
    • (1976) Nature , vol.260 , pp. 808-809
    • Maroudas, A.I.1
  • 50
    • 0037277743 scopus 로고    scopus 로고
    • Analytical solution of compression, free swelling and electrical loading of saturated charged porous media
    • Meerveld JV, Molenaar MM, Huyghe JM, Baaijens FPT (2003) Analytical solution of compression, free swelling and electrical loading of saturated charged porous media. Tranport Porous Med 50:111-126
    • (2003) Tranport Porous Med , vol.50 , pp. 111-126
    • Meerveld, J.V.1    Molenaar, M.M.2    Huyghe, J.M.3    Baaijens, F.P.T.4
  • 51
    • 0024987247 scopus 로고
    • Biorheology of swelling tissue
    • 1
    • Mow VC, Lai M (1990) Biorheology of swelling tissue. Biorheology 27(1):110-119
    • (1990) Biorheology , vol.27 , pp. 110-119
    • Mow, V.C.1    Lai, M.2
  • 52
    • 0018983548 scopus 로고
    • Biphasic creep and stress relaxation of articular cartilage in compression: Theory and experiments
    • 1
    • Mow VC, Kuei SC, Lai WM, Armstrong CG (1980) Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J Biomech Eng 102(1):73-84
    • (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
  • 53
    • 0016443227 scopus 로고
    • Thermodynamics of mixtures of fluids
    • 2
    • Mueller I (1975) Thermodynamics of mixtures of fluids. J Mec 14(2):267-303
    • (1975) J Mec , vol.14 , pp. 267-303
    • Mueller, I.1
  • 54
    • 0033118305 scopus 로고    scopus 로고
    • Nonuniform swelling-induced residual strains in articular cartilage
    • 4
    • Narmoneva DA, Wang JY, Setton LA (1999) Nonuniform swelling-induced residual strains in articular cartilage. J Biomech 32(4):401-408
    • (1999) J Biomech , vol.32 , pp. 401-408
    • Narmoneva, D.A.1    Wang, J.Y.2    Setton, L.A.3
  • 56
    • 0014320491 scopus 로고
    • Changes in connective tissue colloidal charge density with atherosclerosis and age
    • 2
    • Porterfield SP, Calhoon TB, Weiss HS (1968) Changes in connective tissue colloidal charge density with atherosclerosis and age. Am J Physiol 215(2):324-329
    • (1968) Am J Physiol , vol.215 , pp. 324-329
    • Porterfield, S.P.1    Calhoon, T.B.2    Weiss, H.S.3
  • 57
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissues
    • 4
    • Rodriguez EK, Hoger A, McCulloch AD (1994) Stress-dependent finite growth in soft elastic tissues. J Biomech 27(4):455-467
    • (1994) J Biomech , vol.27 , pp. 455-467
    • Rodriguez, E.K.1    Hoger, A.2    McCulloch, A.D.3
  • 58
    • 0032103931 scopus 로고    scopus 로고
    • Swelling and curling behaviors of articular cartilage
    • 3
    • Setton LA, Tohyama H, Mow VC (1998) Swelling and curling behaviors of articular cartilage. J Biomech Eng 120(3):355-361
    • (1998) J Biomech Eng , vol.120 , pp. 355-361
    • Setton, L.A.1    Tohyama, H.2    Mow, V.C.3
  • 64
    • 0035187725 scopus 로고    scopus 로고
    • Computational modeling of ligament mechanics
    • 3
    • Weiss JA, Gardiner JC (2001) Computational modeling of ligament mechanics. Crit Rev Biomed Eng 29(3):303-371
    • (2001) Crit Rev Biomed Eng , vol.29 , pp. 303-371
    • Weiss, J.A.1    Gardiner, J.C.2
  • 65
    • 0016719331 scopus 로고
    • Proteoglycans in primate arteries. i. ultrastructural localization and distribution in the intima
    • 3
    • Wight TN, Ross R (1975) Proteoglycans in primate arteries. i. ultrastructural localization and distribution in the intima. J Cell Biol 67(3):660-674
    • (1975) J Cell Biol , vol.67 , pp. 660-674
    • Wight, T.N.1    Ross, R.2
  • 66
    • 0028266264 scopus 로고
    • Identification of the proteoglycan versican in aorta and smooth muscle cells by dna sequence analysis, in situ hybridization and immunohistochemistry
    • 3
    • Yao LY, Moody C, Schonherr E, Wight TN, Sandell LJ (1994) Identification of the proteoglycan versican in aorta and smooth muscle cells by dna sequence analysis, in situ hybridization and immunohistochemistry. Matrix Biol 14(3):213-225
    • (1994) Matrix Biol , vol.14 , pp. 213-225
    • Yao, L.Y.1    Moody, C.2    Schonherr, E.3    Wight, T.N.4    Sandell, L.J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.