A computational remodeling approach to predict the physiological architecture of the collagen fibril network in corneo-scleral shells

Biomechanics and Modeling in Mechanobiology

Volumn 9, Issue 2, 2010, Pages 225-235

  Grytz, Rafael ^a   Meschke, Günther ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Constitutive modeling; Cornea; Crimped collagen fibrils; Fiber distribution; Finite element method; Remodeling; Sclera

Indexed keywords

BIOLOGICAL TISSUES; BIOMECHANICAL PROPERTIES; COLLAGEN FIBRILS; COMPLEX NETWORKS; COMPUTATIONAL MODEL; CONSTITUTIVE MODELING; CRIMPED COLLAGEN FIBRILS; EXPERIMENTAL OBSERVATION; EYE TISSUES; FIBER DISTRIBUTION; FIBRIL MORPHOLOGY; FIBRIL ORIENTATIONS; HIGHLY NONLINEAR; HUMAN EYE; HUMAN EYE MODEL; MACRO SCALE; MECHANICAL LOADING; MESOSCALE; MICRO-SCALES; PHYSIOLOGICAL ADAPTATIONS; RE-ORIENTATION; SOFT TISSUE;

ANISOTROPY; BIOMECHANICS; COLLAGEN; HISTOLOGY; TISSUE;

FINITE ELEMENT METHOD;

FIBRILLAR COLLAGEN;

ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; CORNEA; HUMAN; INTRAOCULAR PRESSURE; MECHANOTRANSDUCTION; PHYSIOLOGY; SCLERA;

ANIMALS; COMPUTER SIMULATION; CORNEA; FIBRILLAR COLLAGENS; HUMANS; INTRAOCULAR PRESSURE; MECHANOTRANSDUCTION, CELLULAR; MODELS, BIOLOGICAL; SCLERA;

EID: 77953542585     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-009-0173-2     Document Type: Article

References (46)

1. Aghamohammadzadeh H, Newton R, Meek K (2004) X-ray scattering used to map the preferred collagen orientation in the human cornea and limbus. Structure 12:249-256
2. Anderson K, Elsheik A, Newson T (2003) Modelling the biomechanical effect of increasing intraocullar pressure on the porcine cornea. In: 16th ASCE EngineeringMechanics Conference. University of Washington, Seattle
3. Andreo R, FarrellR (1982) Corneal small-angle light-scattering theory: Wavy fibril models. J Opt Soc Am 72:1479-1492
4. Ba̧sar Y, Grytz R (2004) Incompressibility at large strains and finiteelement implementation. Acta Mech 168:75-101
5. Ba̧sar Y, ItskovM, Eckstein A (2000) Composite laminates: Nonlinear interlaminar stress analysis by multi-layer shell elements. Comput Methods Appl Mech Eng 185:367-397
6. Ba̧sar Y,Weichert D (2000) Nonlinear continuum mechanics of solids. Springer, Berlin
7. B̈chter N (1992) Zusammenf̈hrung von Degenerationskonzept und Schalentheorie bei endlichen Rotationen. Bericht Nr. 14. Institut f̈r Baustatik d. Universiẗt Stuttgart
8. Chi H, Katzin H, Teng C (1956) Histopathology of keratoconus. Am J Ophthalmol 42:847-860
9. Curtin B, Iwamoto T, Renaldo D (1979) Normal and staphylomatous sclera of high myopia. Arch Ophthalmol 97(5):912-915
10. Daxer A, Fratzl P (1997) Collagen fibril orientation in the human corneal stroma and its implication in. Investig Ophthalmol Vis Sci 38:121-129
11. Driessen N, Cox M, Bouten C, Baaijens P (2008) Remodelling of the angular collagen fiber distribution in cardiovascular tissues. Biomech Model Mechanobiol 7:93-103
12. Driessen N, Wilson W, Bouten C, Baaijens F (2004) A computational model for collagen fibre remodelling in the arterial wall. J Theor Biol 226:53-64
13. Elsheik A, Alhassoa D, Rama P (2008) Biomechanical properties of human and porcine corneas. Exp Eye Res 86(5):783-790
14. Farrell R, McCally R, Tatham P (1973) Wave-length dependencies of light scattering in normal and cold swollen rabbit corneas and their structural implications. J Physiol 233:589-612
15. FungY (1993) Biomechanics-mechanical properties of living tissues. Springer, New York
16. Gasser T, Ogden R, Holzapfel G (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. J R Soc Interface 3:15-35
17. Gleason R, Humphrey J (2004) A mixture model of arterial growth and remodeling in hypertension: Altered muscle tone and tissue turnover. J Vasc Res 41:352-363
18. Grytz R (2008) Computational modeling and remodeling of human eye tissues as biomechanical structures at multiple scales. Ph.D. thesis, Ruhr-University Bochum, Germany
19. Grytz R, Meschke G (2009) Constitutive modeling of crimped collagen fibrils in soft tissues. J Mech Behav Biomed Mater 2: 522-533
20. Hariton I, de Botton G, Gasser T, Holzapfel G (2007) Stress-driven collagen fiber remodeling in arterial walls. Biomech Model Mechanobiol 6(3):163-175
21. Hernandez M, Andrzejewska W, Neufeld A (1990) Changes in the extracellular matrix of the human optic nerve head in primary open-angle glaucoma. Am J Ophthalmol 109:180-188
22. Hernandez M, Gong H (1996) Extracellular matrix of the trabecular meshwork and optic nerve head. In: Ritch R, Shields M, Krupin T (eds) The Glaucomas: basic sciences, chap 11. Mosby, St. Louis pp 213-249
23. Himpel G, Menzel A, Kuhl E, Steinmann P (2008) Time-dependent fiber reorientation of transversely isotropic continua-finite element formulation and consistent linearization. Int J Numer Methods Eng 73:1413-1433
24. Iwamoto T, Devoe A (1975) Particulate structures in keratoconus. Archives d'ophtalmologie et revue ǵńrale d'ophtalmologie 35:65-72
25. Kastelic J, Palley I, Baer E (1980) A structural mechanical model for tendon crimping. J Biomech 13:887-893
26. Kenney M, Nesburn A, Burgeson R, Butkowski R, Ljubimov A (1997) Abnormalities of the extracellular matrix in keratoconus corneas. Cornea 16:345-351 (Pubitemid 27190805)
27. Komai Y, Ushiki T (1991) The three-dimensional organization of collagen fibrils in the human cornea and sclera. Investig Ophthalmol Vis Sci 32(8):2244-2258
28. Krachmer J, Feder R, Belin M (1984) Keratoconus and related noninflammatory corneal thinning disorders. Surv Ophthalmol 28:293-322
29. Kuhl E, Garikipati K, Arruda E, GroshK (2005) Remodeling of biological tissues: Mechanically induced reorientation of a transversely isotropic chain network. J Mech Phys Solids 53:1552-1573
30. Kuhl E, Holzapfel G (2007) A continuum model for remodeling in living structures. J Mater Sci 42:8811-8823
31. Kuhl E, Menzel A, Garikipati K, Arruda E, Grosh K (2006) Modeling and simulation of remodeling in soft biological tissues. In: Holzapfel G, Ogden R (eds) Mechanics of biological tissues, IUTAM. Springer, Berlin, pp 77-89
32. Liao J (2003) Mechanical and structural properties ofmitral valve chordae tendineae. Ph.D. thesis, Cleveland State University, Ohio
33. Meek K, Blamires T, Elliott G, Gyi T, Nave C (1989) The organisation of collagen fibrils in the human corneal stroma: a synchrotron X-ray diffraction study. Curr Eye Res 6:841-846
34. Meek K, Fullwood N (2001) Corneal and scleral collagens-a microscopist's perspective. Micron 32:261-272
35. Menzel A (2006) Anisotropic remodelling of biological tissues. In: Holzapfel G, Ogden R (eds) Mechanics of biological tissues. Springer, Berlin, pp 91-104
36. Newton R, Meek K (1998) The integration of the corneal and limbal fibrils in the human eye. Biophys J 75:2508-2512
37. Pataa C, Joyon L, Roucher F (1970) Ultrastructure of keratoconus. Archives d'ophtalmologie et revue ǵńrale d'ophtalmologie 30:403-417
38. PietraszkiewiczW, Badur J (1983) Finite rotations in the description of continuum deformation. Int J Eng Sci 9:1097-1115
39. Pinsky P, Van dDer Heide D, Chernyak D (2005) Computational modeling of the mechanical anisotropy in the cornea and sclera. J Cataract Refract Surg 31:136-145
40. Ricken T, Schwarza A, Bluhm J (2007) A triphasic model of transversely isotropic biological tissue with applications to stress and biologically induced growth. Comput Mater Sci 39:124-136
41. Sawaguchi S, Fukuchi T, Abe H, Kaiya T, Sugar J,Yue B (1998) Threedimensional scanning electron microscopic study of keratoconus corneas. Arch Ophthalmol 116:62-68
42. Simo J, Fox D (1989) On a stress resultant geometrically exact shell model. part I: Formulation and optimal parameterization. Comput Methods Appl Mech Eng 72:267-304
43. Taber L, Humphrey J (2001) Stress-modulated growth, residual stress, and vascular heterogeneity. J Biomech Eng 123:528-535
44. Teng C (1963) Electron microscope study of the pathology of keratoconus. Am J Ophthalmol 55:18-47
45. Trotter J, Thurmond F, Koob T (1994) Molecular structure and functional morphology of echinoderm collagen fibrils. Cell Tissue Res 275:451-458
46. Woo S, Kobayashi A, Schlegel W, Lawrence C (1972) Nonlinear material properties of intact cornea and sclera. Exp Eye Res 14:29-39