Mathematical modelling of the motion of hard contact lenses

European Journal of Applied Mathematics

Volumn 7, Issue 6, 1996, Pages 575-594

  Moriarty, J A ^a,b   Terrill, E L ^a,c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b BAXTER HEALTHCARE CORPORATION   (United States)

^c WOLFSON COLLEGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030353684     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0956792500002588     Document Type: Article

References (15)

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2. GREBER I. & DYBBS, A. (1972) Fluid dynamic analysis of contact lens motion. Case Western Research Univ. Rpt. FTAS/TR-72-81.
3. HAYASHI, T. T. & FATT, I. (1980) Forces retaining a contact lens on the eye between blinks. Am. J. Optom. & Physiol. Optics 57 (8), 485-507.
4. KIKKAWA, Y. (1969) The mechanism of contact lens adherence and centralization. Am. J. Optom. Arch. Am. Acad. Optom. 47 (4), 275-281.
5. MACKIE, I. A., MASON, D. & PERRY, B. J. (1970) Factors influencing corneal contact lens centration. Br. J. Physiol. Opt. 25 (2), 87-103.
6. ALLAIRE, P. E., ALLISON, S. W. & GOORAY, A. M. (1982) Tear-film dynamics and oxygen tension under a circular contact lens. Am. J. Optom. & Physiol. Optics 59 (1), 13-20.
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9. CONWAY, H. D. & RICHMAN, M. (1982) Effects of contact lens deformation on tear film pressures induced during blinking. Am. J. Optom. & Physiol. Optics 59 (1), 13-20.
10. CONWAY, H. D. & KNOLL, H. A. (1986) Further studies of contact lens motion during blinking. Am. J. Optom. & Physiol. Optics 63 (10), 824-829.
11. LANDAU, L. & LEVICH, V. G. (1942) Dragging of a liquid by a moving plate. Acta Physicochim. U.R.S.S. 17, 42-54.
12. MCLEOD, J. B. (1995) Solution of a contact lens problem. Euro. J. Applied Math. (to appear).
13. MARTIN, D. K. & HOLDEN, B. A. (1986) Forces developed beneath hydrogel contact lenses due to squeeze pressure. Phys. Med. Biol. 30 (6), 635-649.
14. TUCK, E. O. & SCHWARTZ, L. W. (1990) A numerical and asymptotic study of some third-order ordinary differential equations relevant to draining flows. SIAM Review 32, 453-469.
15. CARRIER, G. F., KROOK, M. & PEARSON, C. E. (1966) Functions of a Complex Variable: Theory and Technique. McGraw Hill.