title: ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð²ÑÑÐ²Ð¾Ð±Ð¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð»ÐµÐºÐ°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð²ÐµÑÐµÑÑÐ²Ð° Ð¸Ð· Ð¼Ð°ÑÑÐ¸ÑÑ-Ð½Ð¾ÑÐ¸ÑÐµÐ»Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
Creators: name: ÐÐ¾ÑÐ¾Ð·Ð¾Ð²Ð°, ÐÐ½Ð½Ð°
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: 2020
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
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description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¾ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð²ÑÑÐ²Ð¾Ð±Ð¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð»ÐµÐºÐ°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð²ÐµÑÐµÑÑÐ²Ð° Ð¸Ð· Ð¼Ð°ÑÑÐ¸ÑÑ-Ð½Ð¾ÑÐ¸ÑÐµÐ»Ñ: Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ¾ ÑÑÐ¾ÐºÐ¾Ð²ÑÐ¼ ÑÐ»ÐµÐ½Ð¾Ð¼, Ð¸Ð¼Ð¸ÑÐ¸ÑÑÑÑÐ¸Ð¼ Ð¾ÑÐ°Ð¶Ð´ÐµÐ½Ð¸Ðµ ÐÐ Ð² Ð¼Ð°ÑÑÐ¸ÑÐµ-Ð½Ð¾ÑÐ¸ÑÐµÐ»Ðµ; Ð¼Ð¾Ð´ÐµÐ»Ñ Ñ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð²ÑÐ¼ ÑÐ»ÐµÐ½Ð¾Ð¼, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑÐ°Ñ ÑÐ°ÑÑÐ²Ð¾ÑÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐ¸Ñ Ð»ÐµÐºÐ°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð²ÐµÑÐµÑÑÐ²Ð° Ñ Ð¿Ð¾ÑÐ»ÐµÐ´ÑÑÑÐµÐ¹ Ð´Ð¸ÑÑÑÐ·Ð¸ÐµÐ¹; Ð¼Ð¾Ð´ÐµÐ»Ñ, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÑÑÐ°Ñ ÑÐ°ÑÑÐ²Ð¾ÑÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐ¸Ñ Ð»ÐµÐºÐ°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð²ÐµÑÐµÑÑÐ²Ð° Ñ Ð¿Ð¾ÑÐ»ÐµÐ´ÑÑÑÐµÐ¹ Ð´Ð¸ÑÑÑÐ·Ð¸ÐµÐ¹, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¾Ð±ÑÑÑÐµÐ½Ð¸Ðµ Ð¼Ð°ÑÑÐ¸ÑÑ-Ð½Ð¾ÑÐ¸ÑÐµÐ»Ñ Ð² Ð·Ð°Ð´Ð°Ð½Ð½ÑÐ¹ Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸; Ð¼Ð¾Ð´ÐµÐ»Ñ, ÑÑÐ¸ÑÑÐ²Ð°ÑÑÐ°Ñ Ð¿Ð¾ÑÑÐµÐ¿ÐµÐ½Ð½Ð¾Ðµ Ð¿ÑÐ¾Ð½Ð¸ÐºÐ½Ð¾Ð²ÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐ²Ð¾ÑÐ° Ð² Ð¼Ð°ÑÑÐ¸ÑÑ-Ð½Ð¾ÑÐ¸ÑÐµÐ»Ñ, ÑÐ°ÑÑÐ²Ð¾ÑÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐ¸Ñ Ð»ÐµÐºÐ°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð²ÐµÑÐµÑÑÐ²Ð°, Ð´Ð¸ÑÑÑÐ·Ð¸Ñ ÑÐ°ÑÑÐ²Ð¾ÑÐµÐ½Ð½Ð¾Ð³Ð¾ Ð»ÐµÐºÐ°ÑÑÑÐ²Ð°, ÑÐ°Ð·Ð»Ð¾Ð¶ÐµÐ½Ð¸Ðµ Ð¼Ð°ÑÑÐ¸ÑÑ Ð¸ Ð¾Ð±ÑÑÑÐµÐ½Ð¸Ðµ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ° Ð Ð°Ð±Ð¾ÑÐ° Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¿ÑÐ¾Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð° Ð½Ð° Ð²ÑÐ±ÑÐ°Ð½Ð½Ð¾Ð¼ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐµ Ð¿ÑÑÐµÐ¼ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»ÑÐ½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² ÑÐ¸ÑÑÐµÐ¼Ñ Ð¸ Ð¿ÑÐ¾Ð³Ð½Ð¾Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð²ÑÑÐ²Ð¾Ð±Ð¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¸ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÑ Ð°ÑÐ¿ÐµÐºÑÐ¾Ð² ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°.
description: In this paper, several mathematical models for the release of a drug substance from a carrier matrix are developed: a model with a stock term simulating drug deposition in a carrier matrix; a model with a source term describing the dissolution of particles of a drug substance with subsequent diffusion; a model describing the dissolution of particles of a drug substance with subsequent diffusion, as well as the collapse of the carrier matrix at a given point in time; a model that takes into account the gradual penetration of a solution into a carrier matrix, the dissolution of drug particles, the diffusion of a dissolved drug, matrix decomposition, and collapse. The operation of the models was demonstrated in the selected experiment by determining the material parameters of the system and predicting the release when changing some aspects of the experiment.