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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 2, Pages 349–362 (Mi zvmmf8066)

This article is cited in 4 papers

Simulation of eye deformation in the measurement of intraocular pressure

R. R. Khusainova, V. R. Tsibul'skiia, V. L. Yakushevb

a Institute for the Development of Northern Territories, Siberian Branch of the Russian Academy of Sciences, ul. Malygina 86, Tyumen, 625026 Russia
b Institute Computer-Aided Design, Russian Academy of Sciences, Vtoraya Brestskaya ul. 19/18, Moscow, 123056 Russia

Abstract: The procedure of measuring the intraocular pressure by an optical analyzer is numerically simulated. The cornea and the sclera are considered as axisymmetrically deformable shells of revolution with fixed boundaries; the space between these shells is filled with incompressible fluid. Nonlinear shell theory is used to describe the stressed and strained state of the cornea and sclera. The optical system is calculated from the viewpoint of the geometrical optics. Dependences between the pressure in the air jet and the area of the surface reflecting the light into a photodetector are obtained. The shapes of the regions on the cornea surface are found from which the reflected light falls on the photodetector. First, the light is reflected from the center of the cornea, but then, as the cornea deforms, the light is reflected from its periphery. The numerical results make it possible to better interpret the measurement data.

Key words: intraocular pressure, cornea, sclera, optical analyzer, shell theory, nonlinear theory.

UDC: 519.634

Received: 06.09.2010


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:2, 326–338

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