Выдержка

The mathematical model describing the change of the stress-strain state of the sclera (the outer eye shell) after intravitreal injection is proposed. In the framework of the 3D theory of elasticity, the deformation of an orthotropic spherical layer is considered. Initially, the layer is subjected to the internal pressure. Then, the value of pressure required to increase the internal volume by a predetermined value is sought. The finite difference method implemented with the computing environment MapleTM and finite element method in multipurpose software platform COMSOL Multiphysics (v. 5.0) are used to obtain the numerical solution. The impact of elastic moduli ratio (in meridional and circumferential directions) on the deformed configuration of the layer is examined. The calculations show that the initially spherical orthotropic spherical layer becomes ellipsoidal with increasing of the intraocular pressure (whereas the transversely isotropic layer remains spherical). The intraocular pressure values under injections of the additional volume of the uncompressed liquid are also obtained.

Язык оригиналаанглийский
Страницы (с-по)107-115
Число страниц9
ЖурналRussian Journal of Biomechanics
Том21
Номер выпуска2
DOI
СостояниеОпубликовано - 2017

Отпечаток

Intravitreal Injections
Intraocular Pressure
Pressure
Sclera
Elastic Modulus
Elasticity
Theoretical Models
Software
Injections
Finite difference method
Elastic moduli
Mathematical models
Finite element method
Liquids
Direction compound

Предметные области Scopus

  • Биофизика
  • Биоматериалы

Цитировать

@article{ef24aeffc56642edbee6c9d590afef11,
title = "Scleral deformation under intravitreal injections",
abstract = "The mathematical model describing the change of the stress-strain state of the sclera (the outer eye shell) after intravitreal injection is proposed. In the framework of the 3D theory of elasticity, the deformation of an orthotropic spherical layer is considered. Initially, the layer is subjected to the internal pressure. Then, the value of pressure required to increase the internal volume by a predetermined value is sought. The finite difference method implemented with the computing environment MapleTM and finite element method in multipurpose software platform COMSOL Multiphysics (v. 5.0) are used to obtain the numerical solution. The impact of elastic moduli ratio (in meridional and circumferential directions) on the deformed configuration of the layer is examined. The calculations show that the initially spherical orthotropic spherical layer becomes ellipsoidal with increasing of the intraocular pressure (whereas the transversely isotropic layer remains spherical). The intraocular pressure values under injections of the additional volume of the uncompressed liquid are also obtained.",
keywords = "Intraocular pressure, Intravitreal injections, Orthotropic sclera",
author = "Bauer, {Svetlana M.} and Venatovskaya, {Ludmila A.} and Voronkova, {Eva B.} and Ibragimova, {Olga P.} and Smirnov, {Andrei L.}",
year = "2017",
doi = "10.15593/RJBiomech/2017.2.01",
language = "English",
volume = "21",
pages = "107--115",
journal = "РОССИЙСКИЙ ЖУРНАЛ БИОМЕХАНИКИ",
issn = "1812-5123",
publisher = "Perm National Research Polytechnic University",
number = "2",

}

Scleral deformation under intravitreal injections. / Bauer, Svetlana M.; Venatovskaya, Ludmila A.; Voronkova, Eva B.; Ibragimova, Olga P.; Smirnov, Andrei L.

В: Russian Journal of Biomechanics, Том 21, № 2, 2017, стр. 107-115.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - Scleral deformation under intravitreal injections

AU - Bauer, Svetlana M.

AU - Venatovskaya, Ludmila A.

AU - Voronkova, Eva B.

AU - Ibragimova, Olga P.

AU - Smirnov, Andrei L.

PY - 2017

Y1 - 2017

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AB - The mathematical model describing the change of the stress-strain state of the sclera (the outer eye shell) after intravitreal injection is proposed. In the framework of the 3D theory of elasticity, the deformation of an orthotropic spherical layer is considered. Initially, the layer is subjected to the internal pressure. Then, the value of pressure required to increase the internal volume by a predetermined value is sought. The finite difference method implemented with the computing environment MapleTM and finite element method in multipurpose software platform COMSOL Multiphysics (v. 5.0) are used to obtain the numerical solution. The impact of elastic moduli ratio (in meridional and circumferential directions) on the deformed configuration of the layer is examined. The calculations show that the initially spherical orthotropic spherical layer becomes ellipsoidal with increasing of the intraocular pressure (whereas the transversely isotropic layer remains spherical). The intraocular pressure values under injections of the additional volume of the uncompressed liquid are also obtained.

KW - Intraocular pressure

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