Insights into the age-related decline in the amplitude of accommodation of the human lens using a non-linear finite-element model

British Journal of Ophthalmology

Volumn 90, Issue 10, 2006, Pages 1304-1309

  Schachar, R A ^a,b   Abolmaali, A ^b   Le, T ^b  

^a University of Texas at Arlington ^*  (United States)

^b UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCOMMODATION; ADULT; AMPLITUDE MODULATION; ARTICLE; BINOCULAR CONVERGENCE; BRAIN CORTEX; FINITE ELEMENT ANALYSIS; GEOMETRY; HUMAN; LENS CAPSULE; OPTICS; PRIORITY JOURNAL;

ACCOMMODATION, OCULAR; ADULT; AGING; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; LENS CAPSULE, CRYSTALLINE; LENS CORTEX, CRYSTALLINE; LENS NUCLEUS, CRYSTALLINE; LENS, CRYSTALLINE; MIDDLE AGED; MODELS, BIOLOGICAL;

EID: 33750284620     PISSN: 00071161     EISSN: None     Source Type: Journal    
DOI: 10.1136/bjo.2006.100347     Document Type: Article

References (66)

1. Duke-Elder S, Abrams D. Ophthalmic optics and refraction. In: Duke-Elder S, ed. System of ophthalmology, Vol. V. London: Henry Kimpton, 1970:153-83.
2. Gilmartin B. The aetiology of presbyopia: a summary of the role of lenticular and extralenticular structures. Ophthal Physiol Opt 1995;15:431-7.
3. Pierscionek BK, Weale RA. Presbyopia-a maverick of human aging. Arch Gerontol Geriatr 1995;20:229-40.
4. Schachar RA. The correction of presbyopia. Int Ophthalmol Clin 2001;41:53-70.
5. Weale RA. Biography or the eye: development, growth, age. London: HK Lewis, 1982:185-237.
6. Al-Suldiun J, Kontio R, Lindqvist C. Orbital stress analysis-part I: simulation of orbital deformation following blunt injury by finite element analysis method. J Oral Maxillofac Surg 2006;64:434-42.
7. Baldewsing RA, de Korte CL, Schaar JA, et al. Finite element modeling and intravascular ultrasound elastography of vulnerable plaques: parameter variation. Ultrasonics 2004;42:723-9.
8. Cheung JT, Zhang M, Leung AK, et al. Three-dimensional finite element analysis of the foot during standing - a material sensitivity study. J Biomech 2005;38:1045-54.
9. Cirovic S, Bhola RM, Hose DR, et al. Computer modelling study of the mechanism of optic nerve injury in blunt trauma. Br J Ophthalmol 2006;90:778-83.
10. Lengsfeld M, Kaminsky J, Merz B, et al. Sensitivity of femoral strain pattern analyses to resultant and muscle forces at the hip joint. Med Eng Phys 1996;18:70-8.
11. Mantell SC, Chanda H, Bechtold JE, et al. A parametric study of acetabular cup design variables using finite element analysis and statistical design of experiments. J Biomech Eng 1998;120:607-75.
12. Schutte S, van den Bedem SP, van Keulen F, et al. A finite-element analysis model of orbital biomechanics. Vision Res 2006;46:1724-31.
13. Sigal IA, Flanagan JG, Ethier CR. Factors influencing optic nerve head biomechanics. Invest Ophthalmol Vis Sci 2005;46:4189-99.
14. Ng EY, Ooi EM. FEM simulation of the eye structure with bioheat analysis. Comput Methods Programs Biomed 2006;82:268-78.
15. Crouch JR, Merriam JC, Crouch ER III. Finite element model of cornea deformation. Med Image Comput Comput Assist Interv Int Conf Med Image Comput Comput Assist Interv 2005;8(Pt 2):591-8.
16. Cabrera Fernandez D, Niazy AM, Kurtz RM, et al. Biomechanical model of corneal transplantation. J Refract Surg 2006;22:293-302.
17. Lau TS, Lo SH. Generation of quadrilateral mesh over analytical curved surface. Finite Elements Anal Design 1997;27:251-72.
18. Lee YK, Lee CK. A new indirect anisotropic quadrilateral mesh generation scheme with enhanced local mesh smoothing procedures. Int J Numer Methods Eng 2003;58:277-300.
19. Belgacem BF, Renard Y, Slimane L. A mixed formulation for the Signirini problem in nearly incompressible elasticity. Appl Numer Math 2005;54:1-22.
20. Clough RW. Early history of the finite element method from the view-point of a pioneer. Int J Numer Methods Eng 2004;60:283-7.
21. Lax PD, Wendoff C. Difference schemes for hyperbolic equations with high order of accuracy. Commun Pure Appl Math 1964;17:381-94.
22. Chien CH, Huang T, Schachar RA. A mathematical expression for the human crystalline lens. Compr Ther 2003;29:245-58.
23. Chien CH, Huang T, Schachar RA. Analysis of human crystalline lens accommodation. J Biomech 2006;39:672-80.
24. Lizak MJ, Datiles MB, Aletras AH, et al. MRI of the human eye using magnetization transfer contrast enhancement. Invest Ophthalmol Vis Sci 2000;41:3878-88.
25. Krueger RR. "Retinal imaging" aberrometry: author reply. Ophthalmology 2002;109:400.
26. Strenk SA, Semmlow JL, Strenk LM, et al. Age-related changes in human ciliary muscle and lens: a magnetic resonance imaging study. Invest Ophthalmol Vis Sci 1999;40:1162-69.
27. Krag S, Andreassen T. Mechanical properties of the human lens capsule. Prog Retinal Eye Res 2003;22:749-67.
28. Krag S, Andreassen TT. Mechanical properties of the human posterior lens capsule. Invest Ophthalmol Vis Sci 2003;44:691-6.
29. Dubbelman M, Van der Heijde GL, Weeber HA, et al. Changes in the internal structure of the human crystalline lens with age and accommodation. Vision Res 2003;43:2363-75.
30. Jones CE, Atchison DA, Meder R, et al. Refractive index distribution and optical properties of the isolated human lens measured using magnetic resonance imaging (MRI). Vision Res 2005;45:2352-66.
31. Burd HJ, Judge SJ, Cross JA. Numerical modelling of the accommodating lens. Vision Res 2002;42:2235-51.
32. Siedlecki D, Kasprzak H, Pierscionek BK. Schematic eye with a gradient-index lens and aspheric surfaces. Opt Lett 2004;29:1197-9.
33. Fisher RF. Elastic constants of the human lens capsule. J Physiol (London) 1969;201:1-19.
34. Beers AP, van der Heijde GL. Presbyopia and velocity of sound in the lens. Optom Vis Sci 1994;71:250-3.
35. Duck FA. Physical properties of tissue: a comprehensive reference book. London: Academic Press, 1990;160-1.
36. Subbaram MV, Gump JC, Bullimore MA, et al. The elasticity of the human lens [abstract]. Invest Ophthalmol Vis Sci 2002;43:468.
37. Heys KR, Cram SL, Truscott RJ. Massive increase in the stiffness of the human lens nucleus with age: the basis for presbyopia? Mol Vis 2004;10:956-63.
38. Saada AS. Elasticity theory and applications. New York: Pergamon Press, 1974:199-204.
39. Fisher RF. The force of contraction of the human ciliary muscle during accommodation. J Physiol (London) 1977;270:51-74.
40. Van Alphen GW, Robinette SL, Marci FJ. Drug effects on ciliary muscle and choroids preparations in vitro. Arch Ophthalmol 1962;68:111-23.
41. Sakabe I, Oshika T, Lim SJ, et al. Anterior shift of zonular insertion onto the anterior surface of human crystalline lens with age. Ophthalmology 1998;105:295-9.
42. Koretz JF, Cook CA, Kaufman P. Aging of the human lens: changes in lens shape at zero-diopter accommodation. J Opt Soc Am A Opt Image Sci Vis 2001;8:265-72.
43. Drexler W, Baumgartner A, Findl O, et al. Biometric investigation of changes in the anterior eye segment during accommodation. Vision Res 1997;37:2789-800.
44. Beauchamp R, Mitchell B. Ultrasound measures of vitreous chamber depth during ocular accommodation. Am J Optom Physiol Optics 1985;62:523-32.
45. von Heimholtz H. Physiological optics, Vol.1. New York: Dover, 1962:143-72.
46. Shung VW. An analysis of a crystalline lens subjected to equatorial periodic pulls [PhD dissertation]. Arlington, TX: University of Texas at Arlington, 2002.
47. Schacher RA, Bax AJ. Mechanism of human accommodation as analyzed by nonlinear finite element analysis. Compr Ther 2001;27:122-32.
48. Stachs O, Martin H, Behrend D, et al. Three-dimensional ultrasound biomicroscopy, environmental and conventional scanning electron microscopy investigations of the human zonula ciliaris for numerical modelling of accommodation. Graefes Arch Clin Exp Ophthalmol 2006;244:836-44.
49. Dewey SH. Cortical removal simplified by J-cannula irrigation. J Cataract Refract Surg 2002;28:11-14.
50. Rakic JM, Galand A, Vrensen GF. Separation of fibres from the capsule enhances mitotic activity of human lens epithelium. Exp Eye Res 1997;64:67-72.
51. van Alphen GW, Graebel WP. Elasticity of tissues involved in accommodation. Vision Res 1991;31:1417-38.
52. Pau H, Kranz J. The increasing sclerosis of the human lens with age and its relevance to accommodation and age related decline in the amplitude of accommodation. Graefes Arch Clin Exp Ophthalmol 1991;229:294-6.
53. Weeber HA, Eckert G, Soergel F, et al. Dynamic mechanical properties of human lenses. Exp Eye Res 2005;80:425-34.
54. Nordmann J, Mack G, Mack G. Nucleus of the human lens: III. Its separation, its hardness. Ophthalmic Res 1974;6:216-22.
55. Schachar RA. Comment on "Dynamic mechanical properties of human lenses" by H.A. Weeber et al. [Exp Eye Res 2005;80: 425-34]. Exp Eye Res 2005;81:236.
56. Alio JL, Schimchak P, Negri HP, et al. Crystalline lens optical dysfunction through aging. Ophthalmology 2005;112:2022-9.
57. Zadnik K, Mutti DO, Fusaro RE, et al. Longitudinal evidence of crystalline lens thinning. Invest Ophthalmol Vis Sci 1995;36:1581-7.
58. Garner LF, Stewart AW, Owens H, et al. The Nepal Longitudinal Study: biometric characteristics of developing eyes. Optom Vis Sci 2006;83:274-8.
59. Hu CY, Jian JH, Cheng YP, et al. Analysis of crystalline lens position. J Cataract Refract Surg 2006;32:599-603.
60. Schacher RA. Growth patterns of fresh human crystalline lenses measured by in vitro photographic biometry. J Anal 2005;206:575-80.
61. Koretz JF, Cook CA, Kaufman P. Aging of the human lens: changes in lens shape upon accommodation and with accommodative loss. J Opt Soc Am A Opt Image Sci Vis 2002;19:144-51.
62. Artal P, Berrio E, Guirao A, et al. Contribution of the cornea and internal surfaces to the change of ocular aberrations with age. J Opt Soc Am A Opt Image Sci Vis 2002;19:137-43.
63. Fujikado T, Kuroda T, Ninomiya S, et al. Age-related changes in ocular and corneal aberrations. Am J Ophthalmol 2004;138:143-6.
64. Donders FC. On the anomalies of accommodation and refraction of the eye. London: The Sydenham Society, 1864:204-14.
65. Duane A. Textbook of ophthalmology, 5th edn. Philadelphia: JB Lippincott, 1917:859-63.
66. Schachar RA. Mechanism of accommodation and presbyopia. Int Ophthalmol Clin 2006;46:39-61.