Abstract
The knowledge for the individual eye of the dependence of the intraocular volume on the intraocular pressure in the presence of a given external load is necessary for obtaining physically correct conclusions from the data of standard measurement procedures used in ophthalmology (tonometry, elastometry, tonography). On the basis of general physical principles, using dimensional theory, restrictions on possible forms of this dependence are formulated on the assumption of elastic behavior of the eye shell and elastic nature of its interaction with surrounding objects. Possible applications of the restrictions obtained to experimental and theoretical investigations are discussed.
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References
G.A. Lyubimov, I.N. Moiseeva, and A.A. Stein, “Dynamics of the Intraocular Fluid: Mathematical Model and Its Main Consequences,” Fluid Dynamics 42(5), 684–694 (2007).
E.N. Iomdina, “Mechanical Properties of the Human Eye Tissues,” in Modern Problems of Biomechanics, Vol. 11 (Moscow University Press, Moscow, 2006) [in Russian], pp. 183–200.
G.A. Lyubimov, I.N. Moiseeva, and A.A. Stein, “Mechanical Significance of Tonographic Methods,” in Ocular Biomechanics: Proceedings of the Conference (Helmholtz Research Institute of Eye Diseases, Moscow, 2007), pp. 74–81.
G.A. Lyubimov, A.A. Stein, M.V. Michurina, and I.N. Moiseeva, “Mathematical Modeling of Methods Used in Ophthalmology for Measuring the Mechanical Characteristics of the Eye,” in Problems of Contemporary Mechanics (Moscow University Press & Omega-L Press, Moscow, 2008) [in Russian], pp. 290–306.
J.S. Friedenwald, “Contribution to the Theory and Practice of Tonometry,” Amer. J. Ophthalmol. 20(10) 985–1024 (1937).
I.G. Pallikaris, G.D. Kymionis, H.S. Ginis, et al., “Ocular Rigidity in Living Human Eyes,” Invest. Ophthalm. Vis. Sci. 46, 409–413 (2005).
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).
G.A. Lyubimov, “Development History and Biomechanical Content of Maklakoff’s Tonometric Method for Measuring the Intraocular Pressure,” Glaukoma, No. 1, 43–50 (2006).
S.Yu. Kalfa, “Elastometry of the Eye,” Russk. Oftalmol. Zh. 8, 250–262 (1928).
S.E. Avetisov, I.A. Bubnova, and A.A. Antonov, “Diagnostic Opportunities of Elastotonometry,” in Glaucoma: Reality and Promises (State Research Institute of Eye Diseases of Russian Academy of Medical Sciences, Moscow, 2008) [in Russian], Pt 2, pp. 81–85.
G.A. Lyubimov, “Opportunities of the Elastometry Method for Investigating the Elastic Properties of the Eyeball Shell,” Fluid Dynamics 45(2), 169–176 (2010).
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Original Russian Text © A.A. Stein, 2010, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2010, Vol. 45, No. 2, pp. 13–23.
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Stein, A.A. Pressure-volume dependence for the eyeball under an external load. Fluid Dyn 45, 177–186 (2010). https://doi.org/10.1134/S001546281002002X
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DOI: https://doi.org/10.1134/S001546281002002X