title: ÐÐ¸ÑÑÑÐ°Ð»ÑÐ½ÑÐµ Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ¸Ð¸ Ð´Ð»Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½ÑÑ ÑÑÐµÐ±Ð½Ð¸ÐºÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Virtual laboratories for electronic textbooks
Creators: name: ÐÐ¾Ð¿Ð°Ñ, ÐÐ»ÐµÐºÑÐµÐ¹
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: 2023
Subjects: Ð¸Ð½ÑÐµÑÐ°ÐºÑÐ¸Ð²Ð½ÑÐ¹ ÑÑÐµÐ±Ð½Ð¸Ðº
Ð²Ð¸ÑÑÑÐ°Ð»ÑÐ½Ð°Ñ Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ¸Ñ
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð² Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸Ð¸
AnyDynamics
ÑÑÐµÐ±Ð½Ð¸Ðº Ð. Ð®. Ð Ð¸Ð·Ð½Ð¸ÑÐµÐ½ÐºÐ¾
C#
Unity
interactive textbook
virtual laboratory
mathematical models in biology
textbook by G. Y. Riznichenko

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¸Ð½ÑÐµÑÐ°ÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÑÐµÐ±Ð½Ð¸ÐºÐ° Ñ Ð²Ð¸ÑÑÑÐ°Ð»ÑÐ½Ð¾Ð¹ Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ¸ÐµÐ¹ Ð¿Ð¾ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¼Ð¾Ð´ÐµÐ»ÑÐ¼ Ð² Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸Ð¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: - ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð»ÐµÐºÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð² Ð¸ ÑÐµÐ¼Ð¸Ð½Ð°ÑÐ¾Ð² Ð. Ð®. Ð Ð¸Ð·Ð½Ð¸ÑÐµÐ½ÐºÐ¾ Ð¸ Ð¾ÑÐ±Ð¾Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð´Ð»Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ - ÐÐ±Ð·Ð¾Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ ÑÑÐµÐ´ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ Ð²ÑÐ±Ð¾Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÑÐµÐ´Ñ Ð´Ð»Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ - ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐµÐ¹ ÑÑÐµÐ´Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾ ÑÐºÑÐ¿Ð¾ÑÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð´Ð»Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ð¸ - Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¸Ð½ÑÐµÑÐ°ÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÑÐµÐ±Ð½Ð¸ÐºÐ° Ð¿Ð¾ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¼Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸Ð¸ - ÐÐ½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð². Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ñ 4 Ð¿Ð°ÐºÐµÑÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð¾Ð¿Ð¸ÑÐ°Ð½Ð° Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ ÑÐºÑÐ¿Ð¾ÑÑÐ° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸Ð· AnyDynamics Ð¸ Ð²ÑÑÑÐ°Ð¸Ð²Ð°Ð½Ð¸Ñ ÑÐºÑÐ¿Ð¾ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸Ðµ Ð½Ð° ÑÐ·ÑÐºÐµ C#. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ñ Ð¿ÑÐ¸Ð¼ÐµÑÑ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼ÑÑ Ð² Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÐµÑÐµ, Ð¸Ð· ÑÑÐµÐ±Ð½Ð¸ÐºÐ° Ð. Ð®. Ð Ð¸Ð·Ð½Ð¸ÑÐµÐ½ÐºÐ¾. ÐÑÐ¿Ð¾Ð»ÑÐ·ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸, Ð±ÑÐ» ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð²Ð¸ÑÑÑÐ°Ð»ÑÐ½ÑÐ¹ ÑÑÐµÐ±Ð½Ð¸Ðº Ñ Ð²Ð¸ÑÑÑÐ°Ð»ÑÐ½Ð¾Ð¹ Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ¸ÐµÐ¹, Ð²ÐºÐ»ÑÑÐ°ÑÑÐµÐ¹ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ðµ Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ½ÑÑ ÑÐ°Ð±Ð¾Ñ Ð¿Ð¾ ÑÐµÐ¼Ð°Ð¼ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð² Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸Ð¸.
description: This work is devoted to the development of an interactive textbook with a virtual laboratory on mathematical models in biology. Tasks that were solved during the study: - Study of lecture materials and seminars by G. Y. Riznichenko and selection of models for implementation - Overview of existing modeling environments and selection of the optimal environment for development - Exploring the possibilities of the modeling environment for exporting mathematical models for use in software - Development of an interactive textbook on mathematical modeling in biology - Analysis of the results obtained. In the course of the work, 4 packages of mathematical modeling were compared, the possibility of exporting a mathematical model from AnyDynamics and embedding the exported model in a C# application was described. Examples of mathematical models used in the biological field are constructed from the textbook of G. Y. Riznichenko. Using the obtained models, a virtual textbook with a virtual laboratory was developed, including laboratory work on the topics of mathematical models in biology.