Analytical Model of Corneal Surgery

[+] Author and Article Information
R. H. Rand

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853

S. R. Lubkin

Center for Applied Mathematics, Cornell University, Ithaca, NY 14853

H. C. Howland

Department of Neurobiology and Behavior, Cornell University, Ithaca, NY 14853

J Biomech Eng 113(2), 239-241 (May 01, 1991) (3 pages) doi:10.1115/1.2891240 History: Received September 20, 1989; Revised December 10, 1990; Online March 17, 2008


We present a model of the human cornea in order to study the changes in its shape resulting from surgical operations (e.g., radial keratotomy). A simple closed-form solution is given for a thin linearly elastic spherical shell model of the cornea. We assume axisymmetry and isotropy in the shell surface. The surgery is modeled by permitting Young’s modulus and shell thickness to depend on position. The analytical nature of the solution permits principal shell curvatures to be explicitly calculated. The model is used to in vestigate the effect of surgery on corneal flattening and the associated sensitivity to intraocular pressure changes.

Copyright © 1991 by The American Society of Mechanical Engineers
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