Finite element model of stresses in the anterior lens capsule of the eye

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 10, Issue 3, 2007, Pages 237-243

  David, G ^a   Humphrey, J D ^a  

^a Texas A M University   (United States)

Author keywords

Accommodation; Capsulorhexis; Cataracts; Mechanics; Stress

Indexed keywords

ACCOMMODATION; BIOMECHANICAL PROPERTIES; BIOMEDICAL DEVICES; CAPSULORHEXIS; CATARACT SURGERIES; CATARACTS; CLINICAL PROCEDURE; EQUI-BIAXIAL STRESS; FINITE ELEMENT MODELS; FULLY NONLINEAR; LENS CAPSULE; MATERIAL SYMMETRY; MECHANO-BIOLOGY; MEMBRANE THICKNESS; METHODS OF ANALYSIS; NORMAL STRESS; PORCINE EYE; REGIONAL VARIATION; SURGICAL PROCEDURES; VIRTUAL WORKS;

BIOMECHANICS; FINITE ELEMENT METHOD; MECHANICS; TISSUE;

STRESSES;

ANISOTROPY; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMAN; LENS CAPSULE; MECHANICAL STRESS; PHYSIOLOGY;

ANISOTROPY; COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; LENS CAPSULE, CRYSTALLINE; MODELS, BIOLOGICAL; STRESS, MECHANICAL;

EID: 34547469579     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255840601154750     Document Type: Article

References (22)

1. R.A. Brown, R. Prajapati, D.A. McGrouther, I.V. Yannas and M. Eastwood, "Tensional homeostasis in dermal fibroblasts: mechanical responses to mechanical loading in three-dimensional substrates", J. Cell Physiol., 175, pp. 323-3323, 1998.
2. H.J. Burd, S.J. Judge and J.A. Cross, "Numerical modeling of the accommodating lens", Vision Res., 42, pp. 2235-2251, 2002.
3. G. David and J.D. Humphrey, "Redistribution of stress due to a circular hole in a nonlinear anisotropic membrane", J. Biomech., 37, pp. 1197-1203, 2004.
4. G. David, R.M. Pedrigi, M.R. Heistand and J.D. Humphrey, "Regional multiaxial properties of the porcine anterior lens capsule", ASME J. Biomech. Eng., in press, 2007.
5. R.F. Fisher, "The significance of the shape of the lens and capsular energy changes in accommodation", J. Physiol., 201, pp. 21-47, 1969.
6. R.F. Fisher and B.T. Pettet, "The postnatal growth of the capsule of the human crystalline lens", J. Anat., 112, pp. 207-214, 1972.
7. Y.C. Fung, Biomechanics: Mechanical Properties of Living Tissues, New York: Springer-Verlag, 1993.
8. F. Gruttman and R.L. Taylor, "Theory and finite element formulation of rubberlike membrane shells using principal stretches", Int. J. Numer. Methods Eng., 35, pp. 1111-1126, 1992.
9. M.R. Heistand, R.M. Pedrigi, S.L. Delange, J. Dziezyc and J.D. Humphrey, "Multiaxial mechanical behavior of the porcine anterior lens capsule", Biomech. Model. Mechanobiol., 4, pp. 168-177, 2005a.
10. M.R. Heistand, R.M. Pedrigi, J. Dziezyc and J.D. Humphrey, "Redistribution of strain and curvature in the porcine anterior lens capsule following a continuous circular capsulorhexis", J. Biomech., 39, pp. 1537-1542, 2005b.
11. J.D. Humphrey, Cardiovascular Solid Mechanics: Cells, Tissues, and Organs, New York: Springer-Verlag, 2002.
12. J.D. Humphrey, "Native properties of cardiovascular tissues: guidelines for functional tissue engineering", in Functional Tissue Engineering, F. Guilak, D.L. Butler, S.A. Goldstein and D.J. Mooney, Eds., New York: Springer, 2003.
13. J.D. Humphrey and K.R. Rajagopal, "A constrained mixture model for growth and remodeling of soft tissues", Math. Model. Methods Appl. Sci., 12, pp. 407-430, 2002.
14. S. Krag and T.T. Andreassen, "Biomechanical measurements of the porcine lens capsule", Exp. Eye Res., 62, pp. 253-260, 1996.
15. S. Krag and T.T. Andreassen, "Mechanical properties of the human lens capsule", Prog. Retin. Eye Res., 22, pp. 749-767, 2003.
16. S. Krag, K. Thim, L. Corydon and B. Kyster, "Biomechanical aspects of the anterior capsulotomy", J. Cataract Refract. Surg., 20, pp. 410-416, 1994.
17. S. Krag, T. Olsen and T.T. Andreassen, "Biomechanical characteristics of the human anterior lens capsule in relation to age", Invest. Ophthalmol. Vis. Sci., 38, pp. 357-363, 1997.
18. S.K. Kyriacou, C. Schwab and J.D. Humphrey, "Finite element analysis of nonlinear orthotropic hyperelastic membranes", Comput. Mech., 18, pp. 269-278, 1996.
19. J.T. Oden, Finite Elements of Nonlinear Continua, New York: McGraw-Hill, 1972.
20. W.D. O'Neill and J.M. Doyle, "A thin shell deformation analysis of the human lens", Vision Res., 8, pp. 193-206, 1968.
21. J.M. Ryan and J.D. Humphrey, "Finite element based predictions of preferred material symmetries in saccular aneurysms", Ann. Biomed. Eng., 27, pp. 641-647, 1999.
22. R.T. Tranquillo and J.D. Murray, "Continuum model of fibroblast-driven wound contraction: inflammation-mediation", J. Theor. Biol., 158, pp. 135-172, 1992.