The bulletin of mathematical biophysics

, Volume 30, Issue 3, pp 437–453 | Cite as

A theoretical model of the cornea for use in studies of tonometry

  • C. C. Mow


A theoretical model of the cornea based on corneal dimensions and reported properties is presented in this paper. It is shown that because of large differences in the thicknesses of the Bowman’s and Descemet’s membranes and the stroma, and because of the reported large differences in the elastic properties of the layers, a sandwich-shell model is a good approximation for the study of corneal deformation. The theory is applicable for applanation tonometry. A set of equilibrium equations based on Reissner’s theory is given. Shell parameters which determine the behavior of shells are expressed in terms of the corneal properties and dimensions. Numerical examples which show the effects of corneal parameters on the stress resultants due to intraocular pressure are also given.


Intraocular Pressure Core Layer Applanation Tonometry Composite Shell Lower Membrane 
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Copyright information

© N. Rashevsky 1968

Authors and Affiliations

  • C. C. Mow
    • 1
  1. 1.The RAND CorporationSanta Monica

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