title: ÐÐµÑ Ð°Ð½Ð¸Ð·Ð¼Ñ Ð¾ÑÐ±Ð¾ÑÐ° Ð°ÑÑÑÐ°ÐºÑÐ¾ÑÐ¾Ð² Ð² Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐºÑÐ¿ÑÐµÑÑÐ¸Ð¸ Ð³ÐµÐ½Ð¾Ð² Ð´Ð»Ñ Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¸ Ð´ÐµÐ»ÑÑÐ¸Ñ ÑÑ ÐºÐ»ÐµÑÐ¾Ðº
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: Mechanisms of attractors selection in dynamic model of gene expression for dividing cells population
Creators: name: Ð£ÑÐºÐ¾Ð², ÐÐ¸ÐºÑÐ¾Ñ
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: Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐºÑÐ¿ÑÐµÑÑÐ¸Ð¸ Ð³ÐµÐ½Ð¾Ð²
Ð¾ÑÐ±Ð¾Ñ Ð°ÑÑÑÐ°ÐºÑÐ¾ÑÐ¾Ð²
ÐºÐ»ÐµÑÐ¾ÑÐ½ÑÐ¹ ÑÐ¸ÐºÐ»
ÑÑÐ¼
Ð´Ð¸ÑÑÑÐ·Ð¸Ñ Ð±ÐµÐ»ÐºÐ°
gene expression model
attractors selection
cleavage cycle
noise
protein diffusion

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description: The aim of the work was to study the effect of attractor selection in a model of the expression of two genes in a growing population of cells and to analyze the effect of model parameters on the efficiency of selection. A simple model of the expression of two genes in the form of a system of differential equations in a growing system of cells with a given division schedule was implemented. Calculations within the model were performed in Python in the Jupyter Notebook environment. Two definitions of the "regulatory phenotype" as a characteristic of the efficiency of biologically intelligent attractor selection among the set of all linearly stable stationary solutions in a finite cell population were proposed and investigated. Using numerical analysis, the dependence of the regulatory phenotypes on the parameters in the model, including cycle length, diffusion, and noise, was investigated. It is shown that different regulatory phenotypes can show qualitatively different dependence on the parameters. We performed a numerical search for a combination of parameters that achieves the optimal value of the regulatory phenotype. As a result, it is shown that this value is achieved in the system with 2 divisions and the largest possible restriction of the solution space available for the dynamics. The results obtained can be used to develop models of gene network evolution in which gene expression patterns serve as a molecular phenotype.