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Dynamic Programming-Based Approach to Model Antigen-Driven Immune Repertoire Synthesisстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 декабря 2024 г.
- Авторы: Bratus AS, Bocharov G., Grebennikov D.
- Журнал: Mathematics
- Том: 12
- Номер: 20
- Год издания: 2024
- Издательство: MDPI
- Местоположение издательства: Basel, Switzerland
- Первая страница: 1
- Последняя страница: 20
- Номер статьи: 3291
- DOI: 10.3390/math12203291
- Аннотация: This paper presents a novel approach to modeling the repertoire of the immune system and its adaptation in response to the evolutionary dynamics of pathogens associated with their geneticvariability. It is based on application of a dynamic programming-based framework to model theantigen-driven immune repertoire synthesis. The processes of formation of new receptor specificity of lymphocytes (the growth of their affinity during maturation) are described by an ordinary differential equation (ODE) with a piecewise-constant right-hand side. Optimal control synthesis is based on the solution of the Hamilton–Jacobi–Bellman equation implementing the dynamic programming approach for controlling Gaussian random processes generated by a stochastic differential equation (SDE) with the noise in the form of the Wiener process. The proposed description of the clonal repertoire of the immune system allows us to introduce an integral characteristic of the immune repertoire completeness or the integrative fitness of the whole immune system. The quantitative index for characterizing the immune system fitness is analytically derived using the Feynman–Kac–Kolmogorov equation.
- Добавил в систему: Бочаров Геннадий Алексеевич