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A mathematical model of the oscillations in the aphakic eye

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Abstract

In this paper we describe a mathematical model of the oscillations of the diaphragm which limits the vitreous body from the anterior segment of the human eye after the lens has been removed in a cataract operation. We study the motion of this diaphragm driven by movements of the eye. Firstly, a mathematical statement of the problem is given and then we solve the problem exactly for a given class of eye movements. From the analysis we deduce that significant oscillations of the membrane are driven by saccades and that it is the angular acceleration of the eye which causes these types of oscillations. A numerical example is given.

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Literature

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  1. Math-Tech Institute, Sommervej 7, 2920, Charlottenlund, Denmark

    Jesper Larsen

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  1. Jesper Larsen
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Larsen, J. A mathematical model of the oscillations in the aphakic eye. Bltn Mathcal Biology 42, 837–845 (1980). https://doi.org/10.1007/BF02461062

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  • DOI: https://doi.org/10.1007/BF02461062

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