title: ÐÐ¾Ð´ÐµÐ»Ñ ÑÐ²Ð¾Ð»ÑÑÐ¸Ð¸ ÑÑÐ°Ð½ÑÐ¿Ð¾Ð·Ð¾Ð½Ð¾Ð² Ð² Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¸ Ñ ÑÑÐµÑÐ¾Ð¼ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð¸Ñ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐµÑÑÑÑÐ¾Ð²
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: A model of the evolution of transposons in a population taking into account energy resources
Creators: name: ÐÐ°Ð³Ð»Ð¸Ð¹, ÐÐºÐ°ÑÐµÑÐ¸Ð½Ð°
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Ð°Ð½ÑÐ¿Ð¾Ð·Ð¾Ð½Ñ
Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÐµ ÑÐ¾ÑÐºÐ¸
Ð°Ð½Ð°Ð»Ð¸Ð· ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸
transposons
population model
stationary points
stability analysis

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description: The subject of the graduate qualification work is : "A model of the evolution of transposons in a population taking into account energy resources." Transposons â mobile genetic elements of DNA, or "jumping genes", are widely distributed in nature and make up approximately 45% of the human genome. The aim of the work was to theoretically study the process of development of a population of cells with transposons, taking into account competition for energy resources. A population model has been developed in which direct competition for a certain amount of energy resources between cells and transposons has been introduced. Two versions of the model are investigated: a quasi-stationary approximation for the energy level and a model with a dynamically changing energy level. For each version, a qualitative and quantitative analysis of the scenarios of the behavior of the system in cases of the presence and absence of negative effects on cells from transposons was carried out. Stationary solutions are found and their stability is investigated for two types of transposon distributions in a population: uniform and uneven. As a result of numerical analysis of the population model, various scenarios of the behavior of a population of cells and transposons are described. It is shown that when cells and transposons compete for a limited energy resource in a population, active transposons die sooner or later, but they can live long enough under certain parameters (quasi-stationary behavior). The results obtained in this work can be used for further development of bioenergetic models of cell populations, taking into account the negative influence of activated transposons.