title: Ð¡ÑÐ¾Ñ Ð°ÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐµÐ³ÑÐ»ÑÑÐ¸Ð¸ Ð³ÐµÐ½Ð¾Ð²
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: Stochastic models of gene regulation
Creators: name: Ð ÐµÐ´ÑÐµÐ½ÐºÐ¾, ÐÐ²Ð³ÐµÐ½Ð¸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: 2023
Subjects: ÑÑÐ¾Ñ Ð°ÑÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÐµÐ³ÑÐ»ÑÑÐ¸Ñ Ð³ÐµÐ½Ð¾Ð²
Ð¿ÑÐ¾Ð¼Ð¾ÑÐ¾Ñ
ÑÑÐ°Ð½ÑÐºÑÐ¸Ð¿ÑÐ¸Ñ
stochastic modeling
gene regulation
promoter
transcription

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description: The aim of the work was to study a stochastic model of gene regulation with a different number of promoter states and given probabilities of transition between states. During the study, models with two, three and extended three states of the promoter were constructed, the characteristics of the solutions in the models were analyzed and differences in the distributions of the number of synthesized mRNAs for two and three states of the promoter were identified. As a result of the analytical solution of the model equations, expressions for the mathematical expectation and variance of the distribution of the number of synthesized mRNAs were obtained. The dependence of the Fano factor characterizing noise in the level of gene expression on the parameters in the models was analyzed and differences were identified for the cases of two and three states of the promoter. Using the Gillespie method, histograms of the distributions of the number of synthesized mRNAs in characteristic modes were calculated. As a result of the work, it can be concluded that an increase in the number of possible states of the promoter of a regulated gene leads to qualitatively new characteristics of noise in gene expression. The results obtained can be used to develop methods for solving inverse problems related to determining the type of gene regulation based on experimental noise characteristics in the expression of these genes.