title: ÐÑÐ·ÐºÐ¾ÑÐ¿ÑÑÐ³Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐºÐ»ÐµÑÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¾Ð±Ð¾Ð»Ð¾ÑÐºÐ¸ Ð³Ð»Ð°Ð·Ð°
title: Ð¼Ð°Ð³Ð¸ÑÑÐµÑÑÐºÐ°Ñ Ð´Ð¸ÑÑÐµÑÑÐ°ÑÐ¸Ñ
titleType: Subtitle
Creators: name: Ð¤ÑÐ¾Ð»Ð¾Ð²Ð°, ÐÑÐµÐ½Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2016
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ñ (Ð¼Ð°Ñ.) ÐÐ°Ð¿Ð»Ð°ÑÐ°
Ð¸Ð½ÑÑÐ°Ð²Ð¸ÑÑÐµÐ°Ð»ÑÐ½Ð°Ñ Ð¸Ð½ÑÐµÐºÑÐ¸Ñ
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÑÐ´Ð²Ð¸Ð³Ð¾Ð²Ð¾Ð¹ Ð²ÑÐ·ÐºÐ¾ÑÑÐ¸ ÑÐºÐ»ÐµÑÑ
Ð¾Ð±Ð¾Ð»Ð¾ÑÐºÐ° Ð³Ð»Ð°Ð·Ð°
intravitreal injections
shear viscosity of the sclera
eye shell

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð¼Ð°Ð³Ð¸ÑÑÐµÑÑÐºÐ¾Ð¹ Ð´Ð¸ÑÑÐµÑÑÐ°ÑÐ¸Ð¸ Ð¾Ð±ÑÑÐ¶Ð´Ð°ÐµÑÑÑ ÑÐ¿Ð¾ÑÐ¾Ð± Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÐ´Ð²Ð¸Ð³Ð¾Ð²Ð¾Ð¹ Ð²ÑÐ·ÐºÐ¾ÑÑÐ¸ ÑÐºÐ»ÐµÑÑ, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð½Ð° ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ, Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ð½ÑÑ Ð. Ð. ÐÐ¾ÑÐ»ÑÑÐ¾Ð¼, Ð¡. Ð. ÐÐ°ÑÑÑ, Ð. ÐÐ»Ð°Ð½Ð³Ðµ (Ð ÐÐÐ¤, ÐÐ¾ÑÐºÐ²Ð°, 2013) Ð¸ Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð½Ð° Ð´Ð¸ÑÐºÑÐµÑÐ½Ð¾Ð¼ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¸ ÐÐ½ÑÑÑÐ¸ ÐÐ»Ð°Ð·Ð½Ð¾Ð³Ð¾ ÐÐ°Ð²Ð»ÐµÐ½Ð¸Ñ (ÐÐÐ) Ð² ÑÐµÑÐµÐ½Ð¸Ðµ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¸Ñ Ð¼Ð¸Ð½ÑÑ Ð¿Ð¾ÑÐ»Ðµ Ð¸Ð½ÑÑÐ°Ð²Ð¸ÑÑÐµÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¸. ÐÐ°Ð´Ð°ÑÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÑÐµÑÑÑ Ð²ÑÐ·ÐºÐ¾ÑÐ¿ÑÑÐ³Ð¸Ð¼ ÑÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÐ»Ð¾ÐµÐ¼ Ð¿ÑÐ¸ ÑÐµÐ½ÑÑÐ°Ð»ÑÐ½Ð¾ÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð½Ð°Ð³ÑÑÐ·ÐºÐµ (Ð½Ð° Ð²Ð½ÐµÑÐ½ÐµÐ¼ ÑÐ°Ð´Ð¸ÑÑÐµ Ð·Ð°Ð´Ð°Ð½Ð¾ Ð½ÑÐ»ÐµÐ²Ð¾Ðµ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ, Ð½Ð° Ð²Ð½ÑÑÑÐµÐ½Ð½ÐµÐ¼ ÑÐ°Ð´Ð¸ÑÑÐµ Ð·Ð°Ð´Ð°Ð½Ñ Ð¿ÐµÑÐµÐ¼ÐµÑÐµÐ½Ð¸Ñ, ÑÑÐ¸ÑÑÐ²Ð°ÑÑÐ¸Ðµ Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ñ Ð¾Ð±ÑÐµÐ¼Ð° Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸, Ð²Ð²ÐµÐ´ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¸ Ð¸Ð½ÑÐµÐºÑÐ¸Ð¸). ÐÐ°ÑÐµÑÐ¸Ð°Ð» ÑÐºÐ»ÐµÑÑ Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð°Ð³Ð°ÐµÑÑÑ Ð»Ð¸Ð½ÐµÐ¹Ð½ÑÐ¼ ÑÑÐ°Ð½ÑÐ²ÐµÑÑÐ°Ð»ÑÐ½Ð¾-Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½ÑÐ¼. ÐÐ°Ð´Ð°ÑÐ° ÑÐµÑÐ°ÐµÑÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼ÐµÑÐ¾Ð´Ð° Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ñ ÐÐ°Ð¿Ð»Ð°ÑÐ°, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐµÐ³Ð¾ ÑÐ²ÐµÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ðµ Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð² ÑÐ°ÑÑÐ½ÑÑ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð½ÑÑ Ðº ÑÐµÑÐµÐ½Ð¸Ñ Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð½ÑÐ¼Ð¸ ÑÐ¾Ð»ÑÐºÐ¾ Ð¿Ð¾ ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°ÑÐµ. Ð Ð°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÑÑ ÑÐ°Ð·Ð½ÑÐµ Ð²Ð°ÑÐ¸Ð°Ð½ÑÑ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð³ÑÐ°Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ»Ð¾Ð²Ð¸Ñ Ð½Ð° Ð²Ð½ÑÑÑÐµÐ½Ð½ÐµÐ¼ ÑÐ°Ð´Ð¸ÑÑÐµ ÑÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ»Ð¾Ñ. Ð Ð¿ÐµÑÐ²Ð¾Ð¼ ÑÐ»ÑÑÐ°Ðµ Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð°Ð³Ð°ÐµÑÑÑ, ÑÑÐ¾ Ð²Ð²ÐµÐ´ÐµÐ½Ð½ÑÐ¹ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð¾Ð±ÑÐµÐ¼ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ ÑÐ¾ÑÑÐ°Ð½ÑÐµÑÑÑ Ð² ÑÑÐµÐºÐ»Ð¾Ð²Ð¸Ð´Ð½Ð¾Ð¼ ÑÐµÐ»Ðµ Ð½Ð° Ð¿ÑÐ¾ÑÑÐ¶ÐµÐ½Ð¸Ð¸ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°, Ð²Ð¾ Ð²ÑÐ¾ÑÐ¾Ð¼ ÑÑÐ¸ÑÑÐ²Ð°ÐµÑÑÑ Ð³Ð¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ° Ð²Ð½ÑÑÑÐ¸Ð³Ð»Ð°Ð·Ð½Ð¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸. ÐÐ°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑ Ð¾Ð±ÑÐµÐ¼Ð° Ð²Ð½ÑÑÑÐ¸Ð³Ð»Ð°Ð·Ð½Ð¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐµÑÑÑ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¸Ð¼Ð¸ ÑÐ¿Ð¾ÑÐ¾Ð±Ð°Ð¼Ð¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð¾ ÑÐ¾Ð½Ð¾Ð³ÑÐ°ÑÐ¸Ð¸, Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ð½ÑÑ Ð. Ð. ÐÑÐ±Ð¸Ð¼Ð¾Ð²ÑÐ¼, Ð. Ð. ÐÐ¾Ð¸ÑÐµÐµÐ²Ð¾Ð¹, Ð. Ð. Ð¨ÑÐµÐ¹Ð½, Ð. Ð. ÐÐ¾Ð¼Ð´Ð¸Ð½Ð¾Ð¹ (Ð Ð¾ÑÑÐ¸Ð¹ÑÐºÐ¸Ð¹ Ð¶ÑÑÐ½Ð°Ð» Ð±Ð¸Ð¾Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸, 2012). ÐÐ¿ÑÐµÐ´ÐµÐ»ÑÐµÑÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° ÑÐ´Ð²Ð¸Ð³Ð¾Ð²Ð¾Ð¹ Ð²ÑÐ·ÐºÐ¾ÑÑÐ¸, Ð¿ÑÐ¸ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¼ Ð¾ÑÐºÐ»Ð¾Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð´Ð°Ð½Ð½ÑÑ Ð¾Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð¼Ð¸Ð½Ð¸Ð¼Ð°Ð»ÑÐ½Ð¾. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð¿ÑÐ¸ ÑÑÐµÑÐµ Ð¾Ð±Ð¾Ð¸Ñ ÑÐ°ÐºÑÐ¾ÑÐ¾Ð²: Ð½Ð°Ð»Ð¸ÑÐ¸Ñ Ð²ÑÐ·ÐºÐ¾ÑÑÐ¸ Ð¸ Ð¾ÑÑÐ¾ÐºÐ° Ð²Ð½ÑÑÑÐ¸Ð³Ð»Ð°Ð·Ð½Ð¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸, - ÑÐµÐ¾ÑÐ¸Ñ Ð»ÑÑÑÐµ ÑÐ¾Ð³Ð»Ð°ÑÑÐµÑÑÑ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð¼, ÑÐµÐ¼ Ð¿ÑÐ¸ ÑÑÐµÑÐµ Ð¾Ð´Ð½Ð¾Ð³Ð¾ Ð¸Ð· Ð½Ð¸Ñ.
description: This master thesis investigates a method for determining the shear viscosity of the sclera based on a comparison of results from mathematical modeling with experimental data from discrete measurements of the IntraOcular Pressure (IOP) during several minutes after intravitreal injection (injection into the eyeball vitreous humor) obtained by K. Kotlyar, S. Bauer, N. Plange (Russian National Ophthalmic Forum, 2013). In order to model the IOP behavior we consider a viscoelastic spherical layer under a centrally symmetric load: an external pressure is absent; the displacement of the inner boundary is specified and takes the intravitreal injection volume into account. We suppose the material of the sclera to be linear transversally isotropic. We propose to find the time-dependent IOP by applying Laplace transforms. The advantage of this method is that the partial differential equation in space-time turns into a differential equation depends only on the radial coordinate in space-Laplace-time. This work investigates the underlying system of equations with two types of boundary condition for the inner radius displacement. In the first case we suppose that the eyeball volume is constant during the time of the experiment. In the second case the displacement of the inner boundary is caused by the intraocular fluid hydrodynamics. In order to determine the intraocular fluid volume time-dependence we turn to experimental data based on the tonography method and obtained by G.A. Lyubimov, I.N. Moiseeva, A.A. Stein, E.N. Iomdina, L.A. Nazarenko (Russian journal of biomechanics, 2012). We obtained the value of the shear viscosity of the sclera corresponds to the best coincidence between the experimental data and theoretical results. We showed that it is necessary to take into account both facts: the existing sclera viscosity and the existing intraocular fluid outflow, - to have the best coincidence between experimental and theoretical functions of the IOP.