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Volumn 5, Issue 4, 2006, Pages 237-246

A model for the human cornea: Constitutive formulation and numerical analysis

Author keywords

[No Author keywords available]

Indexed keywords

BIOMECHANICS; COLLAGEN; COMPUTER SIMULATION; HEALTH CARE; NUMERICAL METHODS; PATIENT MONITORING;

EID: 33750284317     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-005-0014-x     Document Type: Article
Times cited : (203)

References (40)
  • 1
    • 33747150017 scopus 로고    scopus 로고
    • Application of structural analysis to the mechanical behavior of the cornea
    • Anderson K, El-Sheikh A, Newson T (2004) Application of structural analysis to the mechanical behavior of the cornea. J R Soc Interface 1:1-13
    • (2004) J R Soc Interface , vol.1 , pp. 1-13
    • Anderson, K.1    El-Sheikh, A.2    Newson, T.3
  • 2
    • 0034034116 scopus 로고    scopus 로고
    • Mathematical models of picosecond laser in situ keratomileusis for high myopia
    • Bryant MR, Marchi V, Juhasz T (2000) Mathematical models of picosecond laser in situ keratomileusis for high myopia. J Refract Surg 16:155-162
    • (2000) J Refract Surg , vol.16 , pp. 155-162
    • Bryant, M.R.1    Marchi, V.2    Juhasz, T.3
  • 3
    • 0030297968 scopus 로고    scopus 로고
    • Constitutive laws for biomechanical modeling of refractive surgery
    • Bryant MR, McDonnell PJ (1996) Constitutive laws for biomechanical modeling of refractive surgery. J Biomech Eng 118:473-481
    • (1996) J Biomech Eng , vol.118 , pp. 473-481
    • Bryant, M.R.1    McDonnell, P.J.2
  • 5
    • 0031024768 scopus 로고    scopus 로고
    • Collagen fibril orientation in the human corneal stroma and its implication in keratoconus
    • Daxer A, Fratzl P (1997) Collagen fibril orientation in the human corneal stroma and its implication in keratoconus. Invest Ophthalmol Vis Sci 38:121-129
    • (1997) Invest Ophthalmol Vis Sci , vol.38 , pp. 121-129
    • Daxer, A.1    Fratzl, P.2
  • 6
    • 0037838845 scopus 로고    scopus 로고
    • US trends in refractive surgery: 2002 ISRS survey
    • Duffey RJ, Learning D (2003) US trends in refractive surgery: 2002 ISRS survey. J Refract Surg 19:357-363
    • (2003) J Refract Surg , vol.19 , pp. 357-363
    • Duffey, R.J.1    Learning, D.2
  • 7
    • 12444338872 scopus 로고    scopus 로고
    • US trends in refractive surgery: 2003 ISRS/AAO survey
    • Duffey RJ, Learning D (2005) US trends in refractive surgery: 2003 ISRS/AAO survey. J Refract Surg 21:87-91
    • (2005) J Refract Surg , vol.21 , pp. 87-91
    • Duffey, R.J.1    Learning, D.2
  • 9
    • 0030199985 scopus 로고    scopus 로고
    • Regional elastic performance of the human cornea
    • Hjortdal JO (1996) Regional elastic performance of the human cornea. J Biomech 29:931-942
    • (1996) J Biomech , vol.29 , pp. 931-942
    • Hjortdal, J.O.1
  • 10
    • 0026748686 scopus 로고
    • Strip extensiometry for comparison of the mechanical response of bovine, rabbit, and human corneas
    • Hoeltzel DA, Altman P, Buzard K, Choe K-I (1992) Strip extensiometry for comparison of the mechanical response of bovine, rabbit, and human corneas. J Biomech Eng 114:202-214
    • (1992) J Biomech Eng , vol.114 , pp. 202-214
    • Hoeltzel, D.A.1    Altman, P.2    Buzard, K.3    Choe, K.-I.4
  • 12
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • Holzapfel GA, Gasser TC, Ogden RW (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elast 61:1-48
    • (2000) J Elast , vol.61 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, T.C.2    Ogden, R.W.3
  • 13
    • 0032124968 scopus 로고    scopus 로고
    • Biomechanical behavior of the arterial wall and its numerical characterization
    • Holzapfel GA, Weizsäcker HW (1998) Biomechanical behavior of the arterial wall and its numerical characterization. Comp Biol Med 28:337-392
    • (1998) Comp Biol Med , vol.28 , pp. 337-392
    • Holzapfel, G.A.1    Weizsäcker, H.W.2
  • 14
    • 0029881528 scopus 로고    scopus 로고
    • Histochemical and X-ray diffraction study of kerato conus epikeratoplasty, report of two cases
    • Huang Y, Tuft SJ, Meek M (1996) Histochemical and X-ray diffraction study of kerato conus epikeratoplasty, report of two cases. Cornea 15:320-328
    • (1996) Cornea , vol.15 , pp. 320-328
    • Huang, Y.1    Tuft, S.J.2    Meek, M.3
  • 16
    • 0343238245 scopus 로고    scopus 로고
    • A formulation of elasticity and viscoelasticity for fibre reinforced material at small and finite strains
    • Kaliske M (2000) A formulation of elasticity and viscoelasticity for fibre reinforced material at small and finite strains. Comput Methods Appl Mech Eng 185:225-243
    • (2000) Comput Methods Appl Mech Eng , vol.185 , pp. 225-243
    • Kaliske, M.1
  • 17
    • 0018385567 scopus 로고
    • A structural theory for the homogeneous biaxial stress-strain relationships in flat collage-nous tissues
    • Lanir Y (1979) A structural theory for the homogeneous biaxial stress-strain relationships in flat collage-nous tissues. J Biomech 12:423-436
    • (1979) J Biomech , vol.12 , pp. 423-436
    • Lanir, Y.1
  • 18
    • 0027698439 scopus 로고
    • Three-dimensional incompressible viscoelasticity in large strains: Formulation and numerical approximation
    • Le Tallec P, Rahier C, Kaiss A (1993) Three-dimensional incompressible viscoelasticity in large strains: formulation and numerical approximation. Comput Methods Appl Mech Eng 109:233-258
    • (1993) Comput Methods Appl Mech Eng , vol.109 , pp. 233-258
    • Le Tallec, P.1    Rahier, C.2    Kaiss, A.3
  • 19
    • 0032753161 scopus 로고    scopus 로고
    • Organization of collagen fibrils in the corneal stroma in relation to mechanical properties and surgical practice
    • Meek KM, Newton RH (1999) Organization of collagen fibrils in the corneal stroma in relation to mechanical properties and surgical practice. J Refract Surgery 15:695-699
    • (1999) J Refract Surgery , vol.15 , pp. 695-699
    • Meek, K.M.1    Newton, R.H.2
  • 20
    • 0023234536 scopus 로고
    • The organisation of collagen fibrils in the human corneal stroma: A synchroton X-ray diffraction study
    • Meek KM, Blamires T, Elliott GF, Gyi TJ, Nave C (1987) The organisation of collagen fibrils in the human corneal stroma: a synchroton X-ray diffraction study. Curr Eye Res 6:841-846
    • (1987) Curr Eye Res , vol.6 , pp. 841-846
    • Meek, K.M.1    Blamires, T.2    Elliott, G.F.3    Gyi, T.J.4    Nave, C.5
  • 21
    • 0041312550 scopus 로고    scopus 로고
    • Instabilities and loss of ellipticity in fiber-reinforced com pressible non-linearly elastic solids under plane deformation
    • Merodio J, Ogden RW (2003) Instabilities and loss of ellipticity in fiber-reinforced com pressible non-linearly elastic solids under plane deformation. Int J Solids Struct 40:4707-4727
    • (2003) Int J Solids Struct , vol.40 , pp. 4707-4727
    • Merodio, J.1    Ogden, R.W.2
  • 22
    • 13444288059 scopus 로고    scopus 로고
    • On tensile instabilities and ellipticity loss in fiber-reinforced incompressible non-linearly elastic solids
    • Merodio J, Ogden RW (2005) On tensile instabilities and ellipticity loss in fiber-reinforced incompressible non-linearly elastic solids. Mech Res Commun 32:290-299
    • (2005) Mech Res Commun , vol.32 , pp. 290-299
    • Merodio, J.1    Ogden, R.W.2
  • 23
    • 0031833198 scopus 로고    scopus 로고
    • Circumcorneal annulus of collagen fibrils in the human limbus
    • Newton RH, Meek KM (1998a) Circumcorneal annulus of collagen fibrils in the human limbus. Invest Ophthalmol Vis Sci 39:1125-1134
    • (1998) Invest Ophthalmol Vis Sci , vol.39 , pp. 1125-1134
    • Newton, R.H.1    Meek, K.M.2
  • 24
    • 0031722984 scopus 로고    scopus 로고
    • The integration of the corneal and limbal fibrils in the human eye
    • Newton RH, Meek KM (1998b) The integration of the corneal and limbal fibrils in the human eye. Biophys J 75:2508-2512
    • (1998) Biophys J , vol.75 , pp. 2508-2512
    • Newton, R.H.1    Meek, K.M.2
  • 25
    • 0030024059 scopus 로고    scopus 로고
    • Measurement of surgically induced corneal deformations using three-dimensional confocal microscopy
    • Petroll WM, Roy P, Chuong CJ, Hall B, Cavanagh HD, Jester JV (1996) Measurement of surgically induced corneal deformations using three-dimensional confocal microscopy. Cornea 15:154-164
    • (1996) Cornea , vol.15 , pp. 154-164
    • Petroll, W.M.1    Roy, P.2    Chuong, C.J.3    Hall, B.4    Cavanagh, H.D.5    Jester, J.V.6
  • 26
    • 0025785926 scopus 로고
    • A microstructurally-based finite element model of the incised human cornea
    • Pinsky PM, Datye DV (1991) A microstructurally-based finite element model of the incised human cornea. J Biomech 24:907-922
    • (1991) J Biomech , vol.24 , pp. 907-922
    • Pinsky, P.M.1    Datye, D.V.2
  • 27
    • 0026734661 scopus 로고
    • Numerical modeling of radial, astigmatic and hexagonal keratotomy
    • Pinsky PM, Datye DV (1992) Numerical modeling of radial, astigmatic and hexagonal keratotomy. Refract Corneal Surg 8:164-172
    • (1992) Refract Corneal Surg , vol.8 , pp. 164-172
    • Pinsky, P.M.1    Datye, D.V.2
  • 28
    • 13844317409 scopus 로고    scopus 로고
    • Computational modeling of mechanical anisotropy in the cornea and sciera
    • Pinsky PM, van der Heide D, Chernyak D (2005) Computational modeling of mechanical anisotropy in the cornea and sciera. J Cataract Refract Surg 31:136-145
    • (2005) J Cataract Refract Surg , vol.31 , pp. 136-145
    • Pinsky, P.M.1    Van Der Heide, D.2    Chernyak, D.3
  • 30
    • 0026762792 scopus 로고
    • Does Bowman's layer determine the biomechanical properties of the cornea?
    • Seiler T, Matallana M, Sendler S, Bende T (1992) Does Bowman's layer determine the biomechanical properties of the cornea? Refract Corneal Surg 8:139-142
    • (1992) Refract Corneal Surg , vol.8 , pp. 139-142
    • Seiler, T.1    Matallana, M.2    Sendler, S.3    Bende, T.4
  • 32
    • 0026898028 scopus 로고
    • Assocative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
    • Simo JC, Miehe C (1992) Assocative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Comput Methods Appl Mech Eng 98:41-104
    • (1992) Comput Methods Appl Mech Eng , vol.98 , pp. 41-104
    • Simo, J.C.1    Miehe, C.2
  • 33
    • 0029303404 scopus 로고
    • Dynamic mechanical spectroscopy of the cornea for measurement of its viscoelastic properties in vitro
    • Soergel F, Jean B, Seiler T, Bende T, Mucke S, Pechhold W, Pels L (1995) Dynamic mechanical spectroscopy of the cornea for measurement of its viscoelastic properties in vitro. Ger J Ophthalmol 4:151-156
    • (1995) Ger J Ophthalmol , vol.4 , pp. 151-156
    • Soergel, F.1    Jean, B.2    Seiler, T.3    Bende, T.4    Mucke, S.5    Pechhold, W.6    Pels, L.7
  • 37
    • 0032862748 scopus 로고    scopus 로고
    • Simulation model of an eyeball based on finite element analysis on a supercomputer
    • Uchio E, Ohno S, Kudoh J, Aoki K, Kisielewicz LT (1999) Simulation model of an eyeball based on finite element analysis on a supercomputer. Br J Ophthalmol 83:1106-1111
    • (1999) Br J Ophthalmol , vol.83 , pp. 1106-1111
    • Uchio, E.1    Ohno, S.2    Kudoh, J.3    Aoki, K.4    Kisielewicz, L.T.5
  • 38
    • 0034042323 scopus 로고    scopus 로고
    • Influence of some operational variables on the radial keratotomy operation
    • Wang JQ, Zeng YJ, Li XY (2000) Influence of some operational variables on the radial keratotomy operation. Br J Ophthalmol 84:651-653
    • (2000) Br J Ophthalmol , vol.84 , pp. 651-653
    • Wang, J.Q.1    Zeng, Y.J.2    Li, X.Y.3
  • 39
    • 0141707873 scopus 로고    scopus 로고
    • Stress-strain measurements of human and porcine corneas after riboflavin-ultraviolet-a-induced cross-linking
    • Wollensak G, Spoerl E, Seiler T (2003) Stress-strain measurements of human and porcine corneas after riboflavin-ultraviolet-a-induced cross-linking. J Cataract Refract Surg 29:1780-1785
    • (2003) J Cataract Refract Surg , vol.29 , pp. 1780-1785
    • Wollensak, G.1    Spoerl, E.2    Seiler, T.3
  • 40
    • 0035099812 scopus 로고    scopus 로고
    • A comparison of biomechanical properties between human and porcine cornea
    • Zeng Y, Yang J, Huang K, Lee Z, Lee X (2001) A comparison of biomechanical properties between human and porcine cornea. J Biomech 34:533-537
    • (2001) J Biomech , vol.34 , pp. 533-537
    • Zeng, Y.1    Yang, J.2    Huang, K.3    Lee, Z.4    Lee, X.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.