Analysis of human crystalline lens accommodation

Journal of Biomechanics

Volumn 39, Issue 4, 2006, Pages 672-680

  Chien, Chang Hai M ^a   Huang, Tseng ^a   Schachar, Ronald A ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

Applied mechanics; Human crystalline lens accommodation; Nonlinear differential equations; Numerical analysis

Indexed keywords

CRYSTALLINE MATERIALS; DIFFERENTIAL EQUATIONS; MAGNETIC RESONANCE IMAGING; MUSCLE; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; PHYSIOLOGY;

AXISYMMETRICAL MEMBRANE SHELL; HUMAN CRYSTALLINE LENS ACCOMMODATION; MICROPHOTOGRAPH; ZONULAR TRACTION;

LENSES;

ACCOMMODATION; ARTICLE; CILIARY MUSCLE; HUMAN; LENS; MATHEMATICAL COMPUTING; MICROPHOTOGRAPHY; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL;

ACCOMMODATION, OCULAR; COMPUTER SIMULATION; ELASTICITY; HUMANS; LENS, CRYSTALLINE; MODELS, BIOLOGICAL; STRESS, MECHANICAL;

EID: 31344466034     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2005.01.017     Document Type: Article

References (48)

1. R. Beauchamp, and B. Mitchell Ultrasound measures of vitreous chamber depth during ocular accommodation American Journal of Optometry and Physiological Optics 62 8 1985 523 532
2. Boresi, A., Chong, K.P., 1987. Elasticity in Engineering Mechanics. Elsevier, New York, pp. 306-310.
3. H.J. Burd, S.J. Judge, and M.J. Flavell Mechanics of accommodation of the human eye Vision Research 39 9 1999 1591 1595
4. H.J. Burd, S.J. Judge, and J.A. Cross Numerical modeling of the accommodating lens Vision Research 42 18 2002 2235 2251
5. Chien, C.H., 2003. Analysis of a membrane shell with application to crystalline lens accommodation. Ph.D. Thesis, University of Texas at Arlington, Arlington, Texas.
6. C.H. Chien, T. Huang, and R.A. Schachar A mathematical expression for the human crystalline lens Comprehensive Therapy 29 4 2003 245 258
7. C.H. Chien, T. Huang, and R.A. Schachar A model for crystalline lens accommodation Comprehensive Therapy 29 2-3 2003 167 175
8. D.J. Coleman, and S.K. Fish Presbyopia, accommodation, and the mature catenary Ophthalmology 108 9 2001 1544 1551
9. W. Drexler, A. Baumgartner, O. Fendl, C.K. Hitzenberger, and A.F. Fercher Biometric investigation of changes in the anterior segment during accommodation Vision Research 37 19 1997 2789 2800
10. Duck, F.A., 1990. Physical Properties of Tissue: A Comprehensive Reference Book. Academic Press, Harcourt Brace Jovanovich, Publishers, London, pp. 160-161.
11. S. Duke-Elder, and K.C. Wybar The anatomy of the visual system S. Duke-Elder System of Ophthalmology vol. 2 1961 Henry Kimpton London 313 314
12. E.F. Fincham The mechanism of accommodation British Journal of Ophthalmology 8 Suppl. 1937 5 80
13. R.F. Fisher The elastic constants of the human lens Journal of Physiology (London) 212 1 1971 147 180
14. R.F. Fisher The force of contraction of the human ciliary muscle during accommodation Journal of Physiology (London) 270 1 1977 51 74
15. R.F. Fisher Is the vitreous necessary for accommodation in man? British Journal of Ophthalmology 67 3 1983 206
16. Hogan, M.J., Alvardo, J.A., Weddell, J.E., 1971. Histology of the Human Eye. W.B. Saunders Company, Philadelphia, pp. 667-673.
17. H.T. Kasprzak New approximation for the whole profile of the human crystalline lens Ophthalmic Physiological Optics 20 1 1999 31 43
18. Kaye, G.W.C., Laby, T.H., 1941. Tables of Physical and Chemical Constants and Some Mathematical Functions, ninth ed. Longmans, Green and Co., London, pp. 39-40.
19. Kelkar, V.S., 1987. Fundamentals of the Analysis and Design of Shell Structures. Prentice-Hall, Inc., Englewood Cliffs, NJ, pp. 52-54.
20. D.P. Kharakoz, and A.P. Sarvazyan Hydrational and intrinsic compressibilities of globular proteins Biopolymers 33 1 1993 11 26
21. J.F. Koretz, and G.H. Handelman The lens paradox and image formation in accommodating human eyes G. Duncan The Lens: Transparency and Cataract 1986 Eurage, Rijswijk The Netherlands 57 64
22. S. Krag, and T.T. Andreassen Mechanical properties of the human posterior lens capsule Investigative Ophthalmology and Visual Science 44 2 2003 691 696
23. S. Krag, T. Olsen, and T.T. Andreassen Biomechanical characteristics of the human anterior lens capsule in relation to age Investigative Ophthalmology and Visual Science 38 2 1997 357 363
24. R.R. Krueger Retinal imaging aberrometry: author reply Ophthalmology 109 3 2002 406 407
25. Langhaar, H.L., 1962. Energy Methods in Applied Mechanics. Wiley, New York, pp. 62-125.
26. Langhaar, H.L, 1964. Foundations of Practical Shell Analysis. University of Illinois, Urbana, Illinois, pp. 75-98.
27. M.D. Lograno, and A. Reibaldi Receptor-responses in fresh ciliary muscle British Journal of Pharmacology 87 2 1986 379 385
28. McDonald, P.H., 1996. Continuum Mechanics. PWS Publishing Co., New York, pp. 123-125.
29. W.D. O'Neill, and J.M. Doyle Thin shell deformation analysis of the human lens Vision Research 8 2 1968 193 206
30. Otto, F., Trostel, R., 1967. Tensile Structures. The M.I.T. Press, Cambridge, Massachusetts, pp. 170-176.
31. B. Pierscionek In vitro alteration of human lens curvatures by radial stretching Experimental Eye Research 57 5 1993 629 635
32. Pierscionek, B., 2004. Personal communication.
33. R.A. Schachar Central surface curvatures of postmortem-extracted intact human crystalline lenses: implications for understanding the mechanism of accommodation Ophthalmology 111 9 2004 1699 1704
34. R.A. Schachar Qualitative effect of zonular tension on freshly extracted intact human crystalline lenses: implications for the mechanism of accommodation Investigative Ophthalmology and Visual Science 45 8 2004 2691 2695
35. R.A. Schachar, and A.J. Bax Mechanism of human accommodation as analyzed by nonlinear finite element analysis Comprehensive Therapy 27 2 2001 122 132
36. R.A. Schachar, T. Huang, and X. Huang Mathematic proof of Schachar's hypothesis of accommodation Annals of Ophthalmology 25 1 1993 5 9
37. R.A. Schachar, T. Black, R.L. Kash, D.P. Cudmore, and D.J. Schanzlin The mechanism of accommodation and presbyopia in the primate Annals of Ophthalmology 27 2 1995 58 67
38. R.A. Schachar, C. Tello, D.P. Cudmore, J.M. Liebmann, T.D. Black, and R. Ritch In vivo increase of the human lens equatorial diameter during accommodation American Journal of Physiology 271 3, Pt. 2 1996 R670 R676
39. R.A. Schachar, D.P. Cudmore, T.D. Black, J.C. Wyant, V.W. Shung, T. Huang, R.T. Mckinney, and J. Rolland Paradoxical optical power increase of a deformable lens by equatorial stretching Annals of Ophthalmology 30 1 1998 10 18
40. Shung, W.V., 2002. An analysis of a crystalline lens subjected to equatorial periodic pulls. Ph.D. Thesis, University of Texas at Arlington, Arlington, Texas.
41. Shung, W.V., Goan, L.A., Huang, T., 2003. Analysis of an axisymmetric shell equatorially anchored with constrained volume. In: Electronic Proceedings of Analysis of Structural Systems 1 of the 16th ASCE Engineering Mechanics Conference. University of Washington, Seattle.
42. A.E. Stadfeldt Die veränderung der lines bei traction der zonula Klinische Monatsblatten für Augenheilkunde 34 1896 429 431
43. S.A. Strenk, J.L. Semmlow, L.M. Strenk, P. Munoz, J. Gronlund-Jacoband, and J.K. DeMarco Age-related changes in human ciliary muscle and lens: a magnetic resonance imaging study Investigative Ophthalmology Visual Science 40 6 1999 1162 1169
44. Subbaram, M.V., Gump, J.C., Bullimore, M.A., Soortakumar, R., 2002. The elasticity of the human lens. Investigative Ophthalmology and Visual Science 43, E-Abstract 468.
45. D. Valdez, J.-Y. Le Huérou, M. Gindre, W. Urbach, and M. Waks Hydration and protein folding in water and in reverse micelles: compressibility and volume changes Biophysics Journal 80 6 2001 2751 2760
46. G.W. van Alphen, and W.P. Graebel Elasticity of tissues involved in accommodation Vision Research 31 7-8 1991 1417 1438
47. G.W. van Alphen, S.L. Robinett, and F.J. Macri Drug effects on ciliary muscle and choroids preparations in vitro Archives of Ophthalmology 68 7 1962 111 123
48. Y.W. Wong, and S. Pellegrino Amplitude of wrinkles in thin membranes H.R. Drew S. Pellegrino New Approaches to Structural Mechanics, Shells and Biological Structures 2002 Kluwer Academic Publishers Norwell, MA 257 270