 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 46, Issue 6 / 2011 | Next article >> |
| V.L. Yakushev, "Statement of the Problem of Intraocular Pressure Measurement Modeling by a Pneumotonometric Method," Mech. Solids. 46 (6), 937-945 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
6 |
Pages |
937-945 |
| DOI |
10.3103/S0025654411060136 |
| Title |
Statement of the Problem of Intraocular Pressure Measurement Modeling by a Pneumotonometric Method |
| Author(s) |
V.L. Yakushev (Institute for Computer Aided Design, Russian Academy of Sciences, 2-ya Brestskaya 19/18, Moscow, 123056 Russia, yakushev@icad.org.ru) |
| Abstract |
The process of intraocular pressure measurement by an optical analyzer is numerically modeled. The cornea and sclera are treated as axially symmetric deformable shells of revolution rigidly fixed along the edges; the space between the shells is filled with an incompressible liquid. The stress-strain state of the cornea and sclera is described by using a nonlinear theory of shells. The optical system is calculated on the basis of concepts of geometrical optics. Two types of boundary conditions are compared; for each of them, the relation between the pressure in the air jet and the area of the surface from which the reflected light is recorded by the photodetector is analyzed. |
| Keywords |
intraocular pressure, cornea, sclera, optical analyzer, theory of shells, nonlinear theory |
| References |
| 1. | D. Lusce and D. Taylor,
Reichert Ocular Response Analyzer.
Measures Corneal Biomechanical Properties and IOP.
Reichert Ophthalmic Instruments
(2006). |
| 2. | S. M. Bauer, G. A. Lyubimov, and P. E. Tovstik,
"Mathematical Modeling of MaklakoffÒs Method for Measuring the Intraocular Pressure,"
Izv. Akad. Nauk. Mekh. Zhidk. Gaza,
No. 1, 24-39 (2005)
[Fluid Dyn. (Engl. Transl.)
40 (1), 20-33 (2005)]. |
| 3. | S. M. Bauer,
"On Applanation Methods for Intraocular Pressure Measurement,"
in Proc. Sem. "Computer Methods in Continuum Mechanics," 2006-2007,
Ed. by A. L. Smirnova and E. F. Zhigalo
(St. Petersburg Univ., St.Petersburg, 2007), pp. 3-19
[in Russian]. |
| 4. | V. L. Yakushev, R. R. Khusainov, and V. R. Tsibul'skii,
"Joint Deformation of the Ocular Cornea and Sclera with a Liquid Flow Taken into Account,"
in Proc. VII Inter. Conf. on Nonequilibrium Processes
in Nozzles and Jets (NPNJ'2008), Alushta, 2008
(MAI, Moscow, 2008),
pp. 449-451
[in Russian]. |
| 5. | R. R. Khusainov,
"Mathematical Modeling of Nonlinear Deformations of the Eye Cornea,"
Vestnik Kibernet. (IPOS SO RAN),
No. 7, 51-57 (2008). |
| 6. | V. L. Yakushev, V. R. Tsibul'skii, and R. R. Khusainov,
"Mathematical Modeling of Nonlinear Deformations of the Eye Cornea and Sclera,"
in Abstracts of Reports IV All-Russia Conf.
"Topical Problems of Applied Mathematics and Mechanics"
Dedicated to the Memory of Academician A. F. Sidorov, Abrau-Dyurso, 2008,
pp. 75-76. |
| 7. | V. L. Yakushev, I. A. Bubnova, V. R. Tsibul'skii, and R. R. Khusainov,
"Mathematical Modeling of the Eye Deformation in the Intraocular Pressure Measurement,"
in Proc. XVI Inter. Conf. on Computational Mechanics
and Contemporary Applied Program Systems (CMCAPS'2009)
(MAI, Moscow, 2009),
pp. 774-776
[in Russian]. |
| 8. | V. L. Yakushev,
Nonlinear Deformations and Stability of Thin Shells
(Nauka, Moscow, 2004)
[in Russian]. |
| 9. | V. L. Yakushev, V. R. Tsibul'skii, and R. R. Khusainov,
"Numerical Simulation of Light Fluxes
in Intraocular Pressure Measurement Using an Optical Method,"
Vestnik Kibernet. (IPOS SO RAN),
No. 9, 74-84 (2010). |
| 10. | R. R. Khusainov, V. R. Tsibul'skii, and V. L. Yakushev,
"Simulation of Eye Deformation in the Measurement of Intraocular Pressure,"
Zh. Vych. Mat. Mat. Fiz.
51 (2), 349-362 (2011)
[Comput. Math. Math. Phys. (Engl. Transl.)
51 (2), 326-338 (2011)]. |
|
| Received |
05 August 2011 |
| Link to Fulltext |
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