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2022 | OriginalPaper | Chapter

6. Modeling Approaches for an Eyeball Deformation After Intravitreal Injection

Authors : Svetlana M. Bauer, Liudmila A. Venatovskaya, Eva B. Voronkova, Andrey B. Kachanov

Published in: Advanced Materials Modelling for Mechanical, Medical and Biological Applications

Publisher: Springer International Publishing

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Abstract

The mathematical models of the pressurized eyeball are studied. The eyeball is represented as two joint segments (the cornea and the sclera) of different geometric and mechanical properties. Both the cornea and sclera are considered as spherical segments of nonuniform thicknesses. Finite element simulation is performed by means of the engineering simulation software ANSYS Inc. Short time effect of fluid (medication) administration into the eye is investigated. Numerical results of two models (with and without separating strip) are compared. Results obtained with the finite element models of a composed eyeball shell are compered with the shell-based model of a pressurized spherical shell. If the strip separating the inner volume of the eye is taken into account, the difference of the pressures inside subcorneal and subscleral volume is about 1–2 mm Hg. If a single inner volume is considered, the inner pressure elevates to the average value for two subspaces from the model with the strip.

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previous chapter Pneumo-dynamic Experimental Setup for Studying the Behaviour of Structural Materials at Strain Rates of the Order of 100 1/s

next chapter Numerical Simulation of the Dynamics of Three-Dimensional Anisotropic Bodies Based on Non-classical Boundary Integral Equations Under the Impact of a Shock Load

Bauer SM, Voronkova EB (2014) Models of shells and plates in the problems of ophthalmology. Vestnik St. Petersburg Univ: Math 47(3):123–139 http://orcid.org/10.3103/S1063454114030029

Bauer SM, Voronkova EB (2015) Nonclassical shell theories in ocular biomechanics. In: Altenbach H, Mikhasev GI (eds) Shell and membrane theories in mechanics and biology. Advanced structured materials, vol 45. Springer, Cham, pp 81–97. https://doi.org/10.1007/978-3-319-02535-3_4

Bauer SM, Zimin BA, Tovstik PE (2000) Simplest models of plates and shells in ophthalmologys (in Russ.). SPbGU, St. Petersburg

Bauer SM, Venatovskaya LA, Voronkova EB, Ibragimova OP, Smirnov AL (2017) Scleral deformation under intravitreal injections. Russian J Biomech 21(2):107–115

Bauer SM, Venatovskaya LA, Avershina LA, Pikusova SM (2020) Scleral deformation under intravitreal injections elastotonometry for evaluation of biomechanical characteristics of the eye after surgical hyperopia correction elastotonometry for evaluation of biomechanical characteristics of the eye after surgical hyperopia correction (in Russ.). Vestnik Oftalmologii 136(5):32–38

de Vries VA, Bassil FL, Ramdas WD (2020) The effects of intravitreal injections on intraocular pressure and retinal nerve fiber layer: a systematic review and meta-analysis. Sci Rep 10(1):13248. https://doi.org/10.1038/s41598-020-70269-7

Iomdina E (2006) Mechanical properties of the human eye tissues. In: Shtein A, Tsaturyan A (eds) Modern problems of biomechanics. Moscow University Press, Moscow, vol 11: Biomechanics: achievements and prospects, pp 184–201

Iomdina EN, Bauer SM, Kotlyar KE (2015) Biomechanics of the human: theoretical aspects and clinical applications (in Russ.). Real Time, Moscow

Kotliar K, Maier M, Bauer S, Feucht N, Lohmann C, Lanzl I (2007) Effect of intravitreal injections and volume changes on intraocular pressure: clinical results and biomechanical model. Acta Ophthamologica Scandinavica 85(7):777–781CrossRef

Lang GK (2000) Ophthalmology. Thieme, Stuttgart

Moiseeva IN, Stein AA, Lyubimov GA (2020) Estimation of the elastic characteristics of the eyeball from the response of the enucleated eye to the introduction of given volumes of liquid. Russ J Biomech 24(4):351–366

Nesterov A, Bunin A, Katsnelson L (1974) Intraocular pressure. Physiology and pathology (in Russ.). Nauka, Moscow

Paliy OM, Spiro VE (1977) Anisotropic Shells in Shipbuildings. Theory and Analysis (in Russ.). Sudostroenie, Leningrad

Rezaei KA, Wen JC (2016) Intravitreal injection technique. MedEdPORTAL 12. https://doi.org/10.15766/mep_2374-8265.10502

Stein AA (2010) Pressure-volume dependence for the eyeball under an external load. Fluid Dyn 45(2):177–186 http://orcid.org/10.1134/S001546281002002X

Title: Modeling Approaches for an Eyeball Deformation After Intravitreal Injection
Authors: Svetlana M. Bauer
Liudmila A. Venatovskaya
Eva B. Voronkova
Andrey B. Kachanov
Publisher: Springer International Publishing
Book: Advanced Materials Modelling for Mechanical, Medical and Biological Applications
Print ISBN: 978-3-030-81704-6

Electronic ISBN: 978-3-030-81705-3

Copyright Year: 2022
DOI: https://doi.org/10.1007/978-3-030-81705-3_6