An Analytically Solvable Model for Biomechanical Response of the Cornea to Refractive Surgery

Author:

Djotyan Gagik P.1,Kurtz Ron M.23,Ferna´ndez Delia Cabrera4,Juhasz Tibor15

Affiliation:

1. University of Michigan, College of Engineering, Department of Biomedical Engineering, 3304 GG Brown, 2350 Hayward St., Ann Arbor, MI 48109

2. Department of Ophthalmology, University of California, Irvine, Irvine, CA

3. Kellogg Eye Center, Department of Ophthalmology, University of Michigan, 1000 Wall Street, Ann Arbor, MI 48105

4. Department of Applied Physics, University of Michigan, 2477 Randall Lab., Ann Arbor, MI 48109-1120

5. Department of Ophthalmology, University of Michigan, 1000 Wall Street, Ann Arbor, MI 48105

Abstract

An analytically solvable model that considers the elasticity of the cornea is developed for use in the current and novel corneal refractive surgery procedures. The model assumes that the cornea is a thin spheroid shell with an elastic response to intraocular pressure. The value of the Young’s modulus of the post-operative cornea and its dependence on the geometric parameters of the ablation zone are estimated employing “best-fit” approach to nomograms currently used in corneal refractive surgery. These elasticity parameters are applied for quantitative modeling of different types of refractive surgery for myopia.

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Reference26 articles.

1. Trokel, S. J., Srinivasan, R., and Braren, B., 1983, “Excimer Laser Surgery of the Cornea,” Am. J. Ophthalmol., 94, p. 125125.

2. Marshall, J., Trokel, S., Rothery, S., and Krueger, R. R., 1986, “Photoablative Reprofiling of the Cornea Using an Excimer Laser: Photorefractive Keratectomy,” Lasers Ophthalmol., 1, pp. 21–48.

3. Pallikaris, I. G., and Saiganos, D. S., 1994, “Excimer Laser In-Situ Keratomileusis and Photorefractive Keratectomy for Correction of High Myopia,” J. Refract. Corneal Surg., 10, pp. 498–510.

4. Seiler, T. , 1993, “HO:YAG Laser Thermokeratoplasty for Hyperopia,” Ophthalmol. Clin. North Am., 5, pp. 773–780.

5. Moreira, H., Campos, M., Sawusch, M. R., et al., 1993, “Holmium Laser Thermokeratoplasty,” Ophthalmology, 100, pp. 752–761.

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