Optically inspired biomechanical model of the human eyeball

Journal of Biomedical Optics

Volumn 13, Issue 4, 2008, Pages

  Śródka, Wieslaw ^a   Iskander, D Robert ^b  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

finite element analysis; human eye; opto mechanical properties

Indexed keywords

BIOMECHANICAL MODEL; EVOLUTION PROCESS; FINITE ELEMENT; FREE MODEL; FULL MODEL; HUMAN EYE; INTRA OCULAR PRESSURE; MATERIAL PROPERTY; MECHANICAL STRUCTURES; NUMERICAL SOLUTION; OPTICAL FUNCTION; OPTOMECHANICAL; PRIMARY FUNCTIONS; SELF-ADJUSTMENT; STRONGLY NONLINEAR;

BIOMECHANICS; ELASTICITY; EYE MOVEMENTS; MATERIALS PROPERTIES; OPTICAL PROPERTIES;

FINITE ELEMENT METHOD;

ARTICLE; BIOLOGICAL MODEL; BIOMIMETICS; BIOPHYSICS; COMPUTER SIMULATION; HUMAN; INTRAOCULAR PRESSURE; LIGHT; METHODOLOGY; PHYSIOLOGY; RADIATION SCATTERING; VISION; VISUAL SYSTEM FUNCTION;

BIOMIMETICS; BIOPHYSICAL PHENOMENA; COMPUTER SIMULATION; HUMANS; INTRAOCULAR PRESSURE; LIGHT; MODELS, BIOLOGICAL; OCULAR PHYSIOLOGICAL PHENOMENA; SCATTERING, RADIATION; VISION, OCULAR;

EID: 58149398719     PISSN: 10833668     EISSN: 15602281     Source Type: Journal    
DOI: 10.1117/1.2952189     Document Type: Article

References (50)

1. E., Uchio, S., Ohno, J., Kudoh, K., Aoki, and L. T., Kisielewicz, " Simulation model of an eyeball based on finite element analysis on a supercomputer, ", Br. J. Ophthamol., 83, 1106-1111 (1999). bjo BJOPAL 0007-1161
2. H.-L., Yeh, T., Huang, and R. A., Schachar, " A closed shell structured eyeball model with application to radial keratotomy, ", J. Biomech. Eng., 122 (5), 504-510 (2000). jby JBENDY 0148-0731 10.1115/1.1289626
3. K., Anderson, A., El-Sheikh, and T., Newson, " Application of structural analysis to the mechanical behaviour of the cornea, ", J. R. Soc., Interface, 1 (1), 3-15 (2004). c38 JRSICU 1742-5689
4. D., Cabrera Fernández, A. M., Niazy, R. M., Kurtz, G. P., Djotyan, and T., Juhasz, " Finite element analysis applied to cornea reshaping, ", J. Biomed. Opt., 10 (6), 064018 (2005). jbo JBOPFO 1083-3668 10.1117/1.2136149
5. V., Alastrué, B., Calvo, E., Peña, and M., Doblaré, " Biomechanical modeling of refractive corneal surgery, ", J. Biomech. Eng., 128 (1), 150-160 (2006). jby JBENDY 0148-0731 10.1115/1.2132368
6. P. R., Greene, " Closed-form ametropic pressure-volume and ocular rigidity solutions, ", Am. J. Optom. Physiol. Opt., 62 (12), 870-878 (1985). aop AOPOCF 0093-7002
7. P. M., Pinsky, D., van der Heide, and D., Chernyak, " Computational modeling of mechanical anisotropy in the cornea and sclera, ", J. Cataract Refractive Surg., 31 (1), 136-145 (2005). uev JCSUEV 0886-3350
8. T. J., Shin, R. P., Vito, L. W., Johnson, and B. E., McCarey, " The distribution of strain in the human cornea, ", J. Biomech., 30 (5), 497-503 (1997). jbi JBMCB5 0021-9290 10.1016/S0021-9290(97)84433-8
9. S. L.-Y., Woo, A. S., Kobayashi, W. A., Schlegel, and C., Lawrence, " Nonlinear material properties of intact cornea and sclera, ", Exp. Eye Res., 14 (1), 29-39 (1972). exe EXERA6 0014-4835 10.1016/0014-4835(72)90139- X
10. E., Sjontoft and C., Edmund, " In vivo, determination of Young's modulus for the human cornea, ", Bull. Math. Biol., 49 (2), 217-232 (1987). bmv BMTBAP 0092-8240
11. T. R., Friberg and J. W., Lace, " A comparison of the elastic properties of human choroid and sclera, ", Exp. Eye Res., 47, 429-436 (1988). exe EXERA6 0014-4835 10.1016/0014-4835(88)90053-X
12. J. Ø., Hjortdal, " Regional elastic performance of the human cornea, ", J. Biomech., 29 (7), 931-942 (1996). jbi JBMCB5 0021-9290 10.1016/0021-9290(95)00152-2
13. G. J., Orssengo and D. C., Pye, " Determination of the true intraocular pressure and modulus of elasticity of the human cornea, ", Bull. Math. Biol., 61 (3), 551-572 (1999). bmv BMTBAP 0092-8240
14. C., Boote, S., Dennis, R. H., Newton, H., Puri, and K. M., Meek, " Collagen fibrils appear more closely packed in the prepupillary cornea: optical and biomechanical implications, ", Invest. Ophthalmol. Visual Sci., 44 (7), 2941-2948 (2003). ipv IOVSDA 0146-0404 10.1167/iovs.03-0131
15. A. J., Bellezza, R. T., Hart, and C. F., Burgoyne, " The optic nerve head as a biomechanical structure: Initial finite element modeling, ", Invest. Ophthalmol. Visual Sci., 41 (10), 2991-3000 (2000). ipv IOVSDA 0146-0404
16. M., Asejczyk-Widlicka, D. W., Śródka, H., Kasprzak, and D. R., Iskander, " Influence of intraocular pressure on geometrical properties of a linear model of the eyeball: Effect of optical self-adjustment, ", Optik (Stuttgart), 115 (11), 517-524 (2004). oti OTIKAJ 0030-4026
17. H., Kasprzak, " A model of inhomogeneous expansion of the cornea and stability of its focus, ", Ophthalmic Physiol. Opt., 17, 133-136 (1997). opo OPOPD5 0275-5408
18. T. N., Wiesel and E., Raviola, " Myopia and eye enlargement after neonatal lid fusion in monkeys, ", Nature (London), 266, 66-68 (1977). nat NATUAS 0028-0836
19. F., Schaeffel, A., Glasser, and H. C., Howland, " Accommodation, refractive error and eye growth in chickens, ", Vision Res., 28 (5), 639-657 (1988). vis VISRAM 0042-6989 10.1016/0042-6989(88)90113-7
20. C., Edmund, " Posterior corneal curvature and its influence on corneal dioptric power, ", Acta Ophthalmol., 72 (6), 715-720 (1994). acq ACOPAT 0001-639X
21. S., Patel, J., Marshall, and F. W., Fitzke, III, " Refractive index of the human corneal epithelium and stroma, ", J. Refract. Surg., 11 (2), 100-105 (1995). 86f ZZZZZZ 1081-597X
22. Z., Liu, A. J., Huang, and S. C., Pflugfelder, " Evaluation of corneal thickness and topography in normal eyes using the Orbscan corneal topography system, ", Br. J. Ophthamol., 83 (7), 774-778 (1999). bjo BJOPAL 0007-1161
23. T., Eysteinsson, F., Jonasson, H., Sasaki, A., Arnarsson, T., Sverrisson, K., Sasaki, E., Stefánsson, and the Reykjavik Eye Study Group, " Central corneal thickness, radius of the corneal curvature and intraocular pressure in normal subjects using non-contact techniques: Reykjavik eye study, ", Acta Ophthalmol. Scand., 80 (1), 11-15 (2002). 873 AOSCFV 1395-3907
24. E., Rusinski, Finite Element Method, System COSMOS/M, WKL, Wasaw (1994) (in Polish).
25. C. W., McMonnies and G. C., Boneham, " Experimentally increased intraocular pressure using digital forces, ", Eye Contact Lens, 33 (3), 124-129 (2007).
26. C. W., McMonnies and G. C., Boneham, " Corneal curvature stability with increased intraocular pressure, ", Eye Contact Lens, 33 (3), 130-137 (2007).
27. Y., Le Grand and S. G., El Hage, Physiological Optics, Springer Series in Optical Sciences, Vol. 13, Springer-Verlag, Berlin-Heidelberg-New York (1980).
28. P. M., Kiely, G., Smith, and L. G., Carney, " The mean shape of the human cornea, ", Opt. Acta, 29 (8), 1027-1040 (1982). opa OPACAT 0030-3909
29. M., Dubbelman, H. A., Weeber, R. G. L., van der Heijde, and H. J., Völker-Dieben," Radius and asphericity of the posterior corneal surface determined by corrected Scheimpflug photography, ", Acta Ophthalmol. Scand., 80, 379-383 (2002). 873 AOSCFV 1395-3907 10.1034/j.1600-0420.2002.800406.x
30. M., Baumeister, E., Terzi, Y., Ekici, and T., Kohnen," Comparison of manual and automated methods to determine horizontal corneal diameter, ", J. Cataract Refractive Surg., 30 (8), 374-380 (2004). uev JCSUEV 0886-3350
31. W., Lotmar, " Theoretical eye model with aspherics, ", J. Opt. Soc. Am., 61, 1522-1529 (1971). jox JOSAAH 0030-3941
32. H. L., Liou and N. A., Brennan, " Anatomically accurate, finite model eye for optical modeling, ", J. Opt. Soc. Am. A, 14 (8), 1684-1695 (1997). joa JOAOD6 0740-3232 10.1364/JOSAA.14.001684
33. T., Raphan, " Modeling control of eye orientation in three dimensions. I. Role of muscle pulleys in determining saccadic trajectory, ", J. Neurophysiol., 79, 2653-2667 (1998). jnp JONEA4 0022-3077
34. T., Haslwanter, " Mechanics of eye movements: implications of the "orbital revolution, ", Ann. N.Y. Acad. Sci., 956, 33-41 (2002). aas ANYAA9 0077-8923
35. J. L., Demer, " Ocular kinematics, vergence, and orbital mechanics, ", Strabismus, 11 (1), 49-57 (2003).
36. S., Schutte, S. P., van den Bedem, F., van Keulen, F. C. T., van der Helm, and H. J., Simonsz, " A finite-element analysis model of orbital biomechanics, ", Vision Res., 46, 1724-1731 (2006). vis VISRAM 0042-6989
37. A., Pandolfi and F., Manganiello, " A model for the human cornea: constitutive formulation and numerical analysis, ", Biomech. Model. in Mechanobiol., 5 (4), 237-246 (2006).
38. I. G., Pallikaris, G. D., Kymionis, H. S., Ginis, G. A., Kounis, and M. K., Tsilimbaris, " Ocular rigidity in living human eyes, ", Invest. Ophthalmol. Visual Sci., 46 (2), 409-414 (2005). ipv IOVSDA 0146-0404
39. Y. C., Fung, Biomechanics: Mechanical Properties of Living Tissues, Springer-Verlag, NY (1993).
40. B., Jue and D. M., Maurice, " The mechanical properties of the rabbit and human cornea, ", J. Biomech., 19 (10), 847-53 (1986). jbi JBMCB5 0021-9290 10.1016/0021-9290(86)90135-1
41. L. S., Nash, P. R., Greene, and C. S., Foster, " Comparison of mechanical properties of keratoconus and normal corneas, ", Exp. Eye Res., 35, 413-423 (1982). exe EXERA6 0014-4835
42. M. R., Bryant and P. J., McDonnell, " Constitutive laws for biomechanical modelling of refractive surgery, ", J. Biomech. Eng., 118 (4), 473-481 (1996). jby JBENDY 0148-0731 10.1115/1.2796033
43. S. L., Woo, A. S., Kobayashi, C., Lawrence, and, W. A., Schlegel, " Mathematical model of the corneo-scleral shell as applied to intraocular pressure-volume relations and applanation tonometry, ", Ann. Biomed. Eng., 1 (1), 87-98 (1972). abm ABMECF 0090-6964
44. J., Liu and C. J., Robert, " Influence of corneal biomechanical properties on intraocular pressure measurement, ", J. Cataract Refractive Surg., 31, 146-155 (2005). uev JCSUEV 0886-3350
45. J. L., Battaglioli and R. D., Kamm, " Measurements of the compressive properties of scleral tissue, ", Invest. Ophthalmol. Visual Sci., 25 (1), 59-65 (1984). ipv IOVSDA 0146-0404
46. H., Goldmann and T., Schmidt, " Applanation tonometry, ", Ophthalmologica, 134 (4), 221-242 (1957). oph OPHTAD 0030-3755
47. S., Shah, " Accurate intraocular pressure measurement - the myth of modern ophthalmology ?", Ophthalmology (Philadelphia), 107 (10), 1805-1807 (2000). opr OPHTDG 0161-6420
48. R. P., Mills, " If intraocular pressure measurement is only an estimate - then what ?", Ophthalmology (Philadelphia), 107 (10), 1807-1808 (2000). opr OPHTDG 0161-6420
49. M., Asejczyk-Widlicka, D. W., Śródka, H., Kasprzak, and B. K., Pierscionek, " Modelling the elastic properties of the anterior eye and their contribution to maintenance of image quality: the role of the limbus, ", Eye, 21 (8), 1087-1094 (2007). eyf 12ZYAS 0950-222X
50. J. S., Friedenwald, " Contribution to the theory and practice of tonometry, ", Am. J. Ophthalmol., 20, 985-1024 (1937). ajo AJOPAA 0002-9394