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Opportunities of the elastometry method for investigating the elastic properties of the eyeball shell. (English. Russian original) Zbl 1215.74056

Fluid Dyn. 45, No. 2, 169-176 (2010); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2010, No. 2, 3-12 (2010).
Summary: On the basis of a maximally simple mechanical model, the possibility to estimate the stiffness of the eyeball shell using the intraocular pressures measured in the presence of different weights applied to the cornea (elastometry method) is investigated. On the basis of general considerations of dimensional theory, it is shown that the pressure difference used in ophthalmology for estimating the rigidity of the eye ball and determined in the elastometry procedure depends on the ratio \(E/p _{0}\), where \(E\) is a quantity characterizing the shell stiffness and \(p _{0}\) is the intraocular pressure in the unloaded eye. An experimental procedure, which can be treated as a development of the elastometry method and makes it possible to estimate a certain parameter dependent only on the eyeball shell stiffness, is proposed. The practical realization of the method proposed needs to be checked experimentally.

MSC:

74L15 Biomechanical solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74K25 Shells
92C10 Biomechanics
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References:

[1] S.Yu. Kalfa, ”Elastometry of the Eye,” Russk. Oftalmol. Zh. 8, 250–262 (1928).
[2] S.M. Bauer, G.A. Lyubimov, and P.E. Tovstik, ”Mathematical Modeling of Maklakoff’s Method for Measuring the Intraocular Pressure,” Fluid Dynamics 40(1), 20–33 (2005). · Zbl 1184.76918 · doi:10.1007/s10697-005-0040-5
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