The role of 3-D collagen organization in stromal elasticity: A model based on X-ray diffraction data and second harmonic-generated images

Biomechanics and Modeling in Mechanobiology

Volumn 12, Issue 6, 2013, Pages 1101-1113

  Petsche, Steven J ^a   Pinsky, Peter M ^a  

^a Stanford University   (United States)

Author keywords

Constitutive modeling; Human cornea; Indentation experiments; Inverse finite element method; Second harmonic generated imaging; X ray diffraction

Indexed keywords

CONTINUUM MECHANICS; ELASTICITY; FINITE ELEMENT METHOD; HARMONIC ANALYSIS; HARMONIC GENERATION; INVERSE PROBLEMS; NONLINEAR OPTICS; PROBABILITY DISTRIBUTIONS; X RAY SCATTERING;

COLLAGEN ORGANIZATIONS; CONSTITUTIVE MODELING; HUMAN CORNEA; IN-VITRO; INDENTATION EXPERIMENT; INVERSE FINITE ELEMENT METHODS; SECOND HARMONIC-GENERATED IMAGING; SECOND HARMONICS; X -RAY SCATTERING; X- RAY DIFFRACTIONS;

X RAY DIFFRACTION;

COLLAGEN;

ADULT; ANATOMIC MODEL; ARTICLE; BOWMAN MEMBRANE; CORNEA STROMA; CORNEA THICKNESS; ELASTICITY; FEMALE; HUMAN; HUMAN TISSUE; IMAGING; IN VITRO STUDY; IN VIVO STUDY; MECHANICAL TORSION; MECHANICS; RADIATION SCATTERING; SECOND HARMONIC GENERATED IMAGING; SHEAR STRESS; TISSUE STRUCTURE; X RAY DIFFRACTION;

COLLAGEN; CORNEAL STROMA; ELASTICITY; HUMANS; IMAGING, THREE-DIMENSIONAL; MODELS, BIOLOGICAL; PROTEOGLYCANS; SHEAR STRENGTH; TORSION, MECHANICAL; X-RAY DIFFRACTION;

EID: 84896738589     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-012-0466-8     Document Type: Article

References (44)

1. Abahussin M, Hayes S, Kamma-Lorger CS, Khan Y, Marshall J, Meek KM (2009) 3D collagen orientation study of the human cornea using X-ray diffraction and femtosecond laser technology. Investig Ophthalmol Vis Sci 50(11):5159-5164
2. Andreassen T, Simonsen AH, Oxlund H (1980) Biomechanical properties of keratoconus and normal corneas. Exp Eye Res 31:435-441
3. Boote C, Hayes S, Abahussin M, Meek KM (2006) Mapping collagen organization in the human cornea: left and right eyes are structurally distinct. Investig Ophthalmol Vis Sci 47(3):901-908
4. Bryant MR, McDonnell PJ (1996) Constitutive laws for biomechanical modeling of refractive surgery. J Biomech Eng 118(4): 473-481
5. Chang SS, Hjortdal JO, Maurice DM, Pinsky PM (1993) Corneal deformation by indentation and applanation forces. Investig Opthalmol Visl Sci 34(4):1241
6. Charles MW, Brown N (1975) Dimensions of the human eye relevant to radiation protection. Phys Med Biol 20:202-218
7. Cheng X, Hatami-Mardini H, Pinsky PM (2012) Modeling collagen- proteoglycan structural interactions in the human cornea. In: Proceedings of IUTAM symposium on computer models in biomechanics: from nano to micro (in press)
8. Ciarlet P (1988) Mathematical elasticity, vol 1: three-dimensional elasticity, sect 4.9. Elsevier Science Publishers B.V., The Netherlands
9. Cortes DH, Lake SP, Soslowsky LJ, Elliott DM (2010) Characterizing the mechanical contribution of fiber angular distribution in connective tissue: comparison of two modeling approaches. Biomech Model Mechanobiol 9(5):651-658
10. Da Luce (2005) Determining in vivo biomechanical properties of the cornea with an ocular response analyzer. J Cataract Refract Surg 31(1):156-162
11. Elsheikh A, Anderson K (2005) Comparative study of corneal strip extensiometry and inflation tests. J R Soc Interface R Soc 2(3): 177-185
12. Elsheikh A, Wang D, Brown M, Rama P, Campanelli M, Pye D (2007) Assessment of corneal biomechanical properties and their variation with age. Curr Eye Res 32(1):11-19
13. Farrell R, Hart R (1969) On the theory of the spatial organization of macromolecules in connective tissue. Bull Math Biophys 31: 727-760
14. Gasser TC, Ogden RW (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. J R Soc Interface R Soc 3(6):15-35
15. Grytz R, Meschke G (2010) A computational remodeling approach to predict the physiological architecture of the collagen fibril network in corneo-scleral shells. Biomech Model Mechanobiol 9(2): 225-235
16. Hjortdal JO (1996) Regional elastic performance of the human cornea. J Biomech 29(7):931-942
17. Holzapfel G, Gasser T (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elast 61:1-48
18. Jester JV, Winkler M, Jester BE, Nien C, Chai D, Brown DJ (2010) Evaluating corneal collagen organization using high-resolution nonlinear optical macroscopy. Eye Contact Lens 36(5):260-264
19. Jue B, Maurice DM (1986) The mechanical properties of the rabbit and human cornea. J Biomech 19(10):847-853
20. Kokott W (1938) Über mechanisch-funktionelle Strukturen des Auges. Albrecht von Graefes Arch Ophthalmol 138:424-485
21. Komai Y, Ushiki T (1991) The three-dimensional organization of collagen fibrils in the human cornea and sclera. Investig Ophthalmol Vis Science 32(8):2244-2258
22. Kotecha A, Elsheikh A, Roberts CR, Zhu H, Garway-Heath DF (2006) Corneal thickness- and age-related biomechanical properties of the cornea measured with the ocular response analyzer. Investig Ophthalmol Vis Sci 47(12):5337-5347
23. Lanir Y (1979) A structural theory for the homogeneous biaxial stress-strain relationships in flat collagenous tissues. J Biomech 12(6): 423-436
24. Lewis PN, Pinali C, Young RD, Meek KM, Quantock AJ, Knupp C (2010) Structural interactions between collagen and proteoglycans are elucidated by three-dimensional electron tomography of bovine cornea. Structure (London, England: 1993) 18(2): 239-245
25. Maurice DM, Monroe F (1990) Cohesive strength of corneal lamellae. Exp Eye Res 50(1):59-63
26. Meek K, Blamires T, Elliott G, Gyi T, Nave C (1987) The organisation of collagen fibrils in the human corneal stroma: a synchrotron X-ray diffraction study. Curr Eye Res 6(7):841-846
27. Meek KM (2008) Collagen: structure and mechanics, chapter 13: The cornea and sclera. Springer Science + Business Media LLC, New York
28. Meek KM, Tuft SJ, Huang Y, Gill PS, Hayes S, Newton RH, Bron AJ (2005) Changes in collagen orientation and distribution in keratoconus corneas. Investig Ophthalmol Vis Sci 46(6):1948-1956
29. Morishige N, Wahlert AJ, Kenney MC, Brown DJ, Kawamoto K, Chikama TI, Nishida T, Jester JV (2007) Second-harmonic imaging microscopy of normal human and keratoconus cornea. Investig Ophthalmol Vis Sci 48(3):1087-1094
30. Olsen T, Sperling S (1987) The swelling pressure of the human corneal stroma as determined by a new method. Exp Eye Res 44(4):481-490
31. Pandolfi A, Holzapfel GA (2008) Three-dimensional modeling and computational analysis of the human cornea considering distributed collagen fibril orientations. J Biomech Eng 130(6):061006. http://www.ncbi.nlm.nih.gov/ pubmed/19045535
32. Petsche SJ, Chernyak D, Martiz J, Levenston ME, Pinsky PM (2012) Depth-dependent transverse shear properties of the human corneal stroma. Investig Ophthalmol Vis Sci 53(2):873-880
33. Pinsky PM, Datye DV (1991) A microstructurally-based finite element model of the incised human cornea. J Biomech 24(10):907-922
34. Pinsky PM, Datye DV (1991) A microstructurally-based finite element model of the incised human cornea. J Biomech 24(10):907-922
35. Pinsky PM, Datye DV (1991) A microstructurally-based finite element model of the incised human cornea. J Biomech 24(10):907-922
36. Radner W, Zehetmayer M, Skorpik C, Mallinger R (1998b) Altered organization of collagen in the apex of keratoconus corneas. Ophthalmic Res 30:327-332
37. Saltzmann M (1912) The anatomy and histology of the human eyeball in the normal state. University of Chicago Press, Chicago
38. Scott J (1992) Supramolecular organization of extracellular matrix glycosaminoglycans, in vitro and in the tissues. FASEB J 6:2639-2645
39. Shah S, Laiquzzaman M, Bhojwani R, Mantry S, Cunliffe I (2007) Assessment of the biomechanical properties of the cornea with the ocular response analyzer in normal and keratoconic eyes. Investig Ophthalmol Vis Sci 48(7):3026-3031
40. Smolek MK (1993) Interlamellar cohesive strength in the vertical meridian of human eye bank corneas. Investig Ophthalm Vis Sci 34(10):2962-2969
41. Studer H, Larrea X, Riedwyl H, Büchler P (2010) Biomechanical model of human cornea based on stromal microstructure. J Biomech 43(5):836-842
42. Winkler M, Chai D, Kriling S, Nien CJ, Brown DJ, Jester B, Juhasz T, Jester JV (2011) Nonlinear optical macroscopic assessment of 3-D corneal collagen organization and axial biomechanics. Investig Ophthalm Vis Sci 52(12):8818-8827
43. Wollensak G, Spörl E, Mazzotta C, Kalinski T, Sel S (2011) Interlamellar cohesion after corneal crosslinking using riboflavin and ultraviolet A light. B J Ophthalmol 95(6):876-880
44. Woo SL, Kobayashi AS, Schlegel WA, Lawrence C (1972) Nonlinear material properties of intact cornea and sclera. Exp Eye Res 14(1):29-39