title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐµÑÐ¸ Ð³ÐµÐ½Ð¾Ð² Ð³Ð»Ð°Ð·Ð½Ð¾Ð³Ð¾ Ð´Ð¸ÑÐºÐ° Ð¿Ð»Ð¾Ð´Ð¾Ð²Ð¾Ð¹ Ð¼ÑÑÐºÐ¸ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐ¸Ð¼Ð²Ð¾Ð»ÑÐ½Ð¾Ð¹ ÑÐµÐ³ÑÐµÑÑÐ¸Ð¸
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: Development Drosophila eye disc gene network model using symbolic regression
Creators: name: ÐÐ°Ð»ÑÑÐ¾Ð², ÐÐ¼Ð¸ÑÑÐ¸Ð¹
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: 2021
Subjects: ÑÐ¸Ð¼Ð²Ð¾Ð»ÑÐ½Ð°Ñ ÑÐµÐ³ÑÐµÑÑÐ¸Ñ
ÑÐµÐ³ÑÐµÑÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸
Ð³ÑÐ°Ð¼Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ ÑÐ²Ð¾Ð»ÑÑÐ¸Ñ
ÑÐ°Ð·Ð½Ð¾ÑÑÐ½Ð°Ñ ÑÐ²Ð¾Ð»ÑÑÐ¸Ñ
Ð³ÐµÐ½Ð½ÑÐµ ÑÐµÑÐ¸
C++
QT
python
symbolic regression
regression models
grammatical evolution
differential evolution
gene networks

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÐ¹ Ð¿Ð¾Ð´ÑÐ¾Ð´ Ð´Ð»Ñ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ ÑÐµÑÐµÐ¹ Ð³ÐµÐ½Ð¾Ð² in silico, Ð¿ÑÐ¾Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð° ÑÐ°Ð±Ð¾ÑÐ° Ð¼ÐµÑÐ¾Ð´Ð° Ð³ÑÐ°Ð¼Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð½Ð° Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð·Ð°Ð´Ð°ÑÐµ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð¾ ÑÐºÑÐ¿ÑÐµÑÑÐ¸Ð¸ Ð³ÐµÐ½Ð¾Ð² Ð² Ð³Ð»Ð°Ð·Ñ Ð·Ð°ÑÐ¾Ð´ÑÑÐ° Ð¿Ð»Ð¾Ð´Ð¾Ð²Ð¾Ð¹ Ð¼ÑÑÐºÐ¸. ÐÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ Ð±ÑÐ»Ð¾ ÑÐµÑÐ¸ÑÑ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°ÑÑ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð° Ð³ÑÐ°Ð¼Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð´Ð»Ñ Ð±Ð¾Ð»ÐµÐµ ÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸ÑÑ Ð¼Ð¾Ð´Ð¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ðº ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼ Ð´Ð°Ð½Ð½ÑÐ¼ Ð¿Ð¾ Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾Ð¹ ÑÐºÑÐ¿ÑÐµÑÑÐ¸Ð¸ Ð³ÐµÐ½Ð¾Ð² Ð² Ð³Ð»Ð°Ð·Ñ Ð¿Ð»Ð¾Ð´Ð¾Ð²Ð¾Ð¹ Ð¼ÑÑÐºÐ¸ Ð¸ Ð¿ÑÐ¾Ð²ÐµÑÑÐ¸ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸ ÑÑÐ°Ð²Ð½Ð¸ÑÑ Ñ ÑÐ¶Ðµ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ð¼Ð¸ Ð¼Ð¾Ð´ÐµÐ»ÑÐ¼Ð¸. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÑ Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð±Ð¾Ð»ÑÑÐ¸Ðµ Ð¼Ð°ÑÑÐ¸Ð²Ñ Ð´Ð°Ð½Ð½ÑÑ, ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð¼ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÐºÐ¾ÑÐ¾ÑÑÑ ÑÑÐ°Ð»Ð¾ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ðµ Ð±Ð¾Ð»ÐµÐµ ÑÐ¾ÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ Ð³ÐµÐ½Ð¾Ð² Delta, atonal, hairy Ð¸ hedgehog Ð² Ð¿ÑÐ¾ÑÐµÑÑÐµ ÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÑÐºÐ¸ Ð³Ð»Ð°Ð·Ð° Ð¿Ð»Ð¾Ð´Ð¾Ð²Ð¾Ð¹ Ð¼ÑÑÐºÐ¸. ÐÑÐ»Ð¸ Ð½Ð°Ð¹Ð´ÐµÐ½Ñ Ð¾ÑÐµÐ½ÐºÐ¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¸ Ð¾Ð±Ð½Ð°ÑÑÐ¶ÐµÐ½Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ¸Ñ ÑÐºÑÐ¿ÑÐµÑÑÐ¸Ð¸ Ð³ÐµÐ½Ð¾Ð² Ð² Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾Ñ Ð²Ð¸Ð´Ð¾Ð² Ð¿Ð»Ð¾Ð´Ð¾Ð²Ð¾Ð¹ Ð¼ÑÑÐºÐ¸ - drosophila simulans Ð¸ drosophila melanogaster. ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´ Ð¼Ð¾Ð¶ÐµÑ Ð½Ð°Ð¹ÑÐ¸ ÑÐ²Ð¾Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð´Ð°Ð»ÐµÐºÐ¾ Ð·Ð° Ð¿ÑÐµÐ´ÐµÐ»Ð°Ð¼Ð¸ ÐµÑÑÐµÑÑÐ²ÐµÐ½Ð½ÑÑ Ð½Ð°ÑÐº - Ð½Ð°Ð¿ÑÐ¸Ð¼ÐµÑ, Ð² ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐµ Ð¸Ð»Ð¸ Ð¿ÑÐ¾Ð¼ÑÑÐ»ÐµÐ½Ð½Ð¾ÑÑÐ¸. Ð¡Ð²ÑÐ·ÐºÐ° Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð³ÑÐ°Ð¼Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð¸ ÑÐ°Ð·Ð½Ð¾ÑÑÐ½Ð¾Ð¹ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð° ÑÐµÐ±Ñ Ð¼Ð½Ð¾Ð³Ð¾Ð¾Ð±ÐµÑÐ°ÑÑÐµ, ÑÐ¾ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð½Ðµ Ð´Ð¾ ÐºÐ¾Ð½ÑÐ° ÑÐ´Ð¾Ð²Ð»ÐµÑÐ²Ð¾ÑÑÑÑ ÑÑÐµÐ±Ð¾Ð²Ð°Ð½Ð¸ÑÐ¼ ÐºÐ°ÑÐµÑÑÐ²ÐµÐ½Ð½ÑÑ ÑÐµÐ³ÑÐµÑÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹, ÑÐµÐ¼Ñ Ð´Ð°Ð½Ð¾ Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¾Ðµ Ð¾Ð±ÑÑÑÐ½ÐµÐ½Ð¸Ðµ.
description: This paper describes a modern approach for constructing gene networks in silico, demonstrates the work of the method of grammatical evolution on a practical problem using experimental data on gene expression in the Drosophila eye. Research objectives: develop a modifcation of the grammatical evolution method for getting more accurate models, apply a modifed algorithm to experimental data on gene expression in the Drosophila eye and analyze the results and compare with existing models. Numerical experiments were carried out and large data sets were obtained, which resulted in obtaining more accurate models of the results of the Delta, atonal, hairy and hedgehog genes in the process of developing Drosophila eye. Estimates of the obtained models were found and diï¬erences in gene expression were found depending on the species of the fruit ï¬y - Drosophila simulans Ð¸ Drosophila melanogaster. The method used can fnd its application in any feld of science and industry. The combination of methods of grammatical evolution and diï¬erence evolution has shown itself to be promising, although the results obtained do not fully satisfy the requirements of qualitative regression models.