A parameter identification problem for the mathematical model of HIV dynamics

Sergey Kabanikhin; Olga Krivorotko; Darya Yermolenko

doi:10.1109/SIBIRCON.2017.8109842

A parameter identification problem for the mathematical model of HIV dynamics

Sergey Kabanikhin, Olga Krivorotko, Darya Yermolenko

Department of Mechanics and Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Abstract

In this paper, a problem of specifying HIV-infection parameters and immune response using additional measurements of the concentrations of the T-lymphocytes, the free virus, and the immune effectors at fixed times for a mathematical model of HIV dynamics is investigated numerically. The problem of specifying the parameters of the mathematical model (an inverse problem) is reduced to a problem of minimizing an objective function describing the deviation of the simulation results from the experimental data. A genetic algorithm for solving the least squares function minimization problem method is implemented and investigated. The results of a numerical solution of the inverse problem are analyzed.

Original language	English
Title of host publication	Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	82-86
Number of pages	5
ISBN (Electronic)	9781538615966
DOIs	https://doi.org/10.1109/SIBIRCON.2017.8109842
Publication status	Published - 14 Nov 2017
Event	2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 - Novosibirsk, Russian Federation Duration: 18 Sep 2017 → 22 Sep 2017

Conference

Conference	2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
Country	Russian Federation
City	Novosibirsk
Period	18.09.2017 → 22.09.2017

Keywords

Genetic algorithm
Inverse problem
Least square method
Mathematical model of HIV dynamics

Access to Document

10.1109/SIBIRCON.2017.8109842

Link to publication in Scopus

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Kabanikhin, S., Krivorotko, O., & Yermolenko, D. (2017). A parameter identification problem for the mathematical model of HIV dynamics. In Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 (pp. 82-86). [8109842] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SIBIRCON.2017.8109842

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abstract = "In this paper, a problem of specifying HIV-infection parameters and immune response using additional measurements of the concentrations of the T-lymphocytes, the free virus, and the immune effectors at fixed times for a mathematical model of HIV dynamics is investigated numerically. The problem of specifying the parameters of the mathematical model (an inverse problem) is reduced to a problem of minimizing an objective function describing the deviation of the simulation results from the experimental data. A genetic algorithm for solving the least squares function minimization problem method is implemented and investigated. The results of a numerical solution of the inverse problem are analyzed.",

keywords = "Genetic algorithm, Inverse problem, Least square method, Mathematical model of HIV dynamics",

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Kabanikhin, S, Krivorotko, O & Yermolenko, D 2017, A parameter identification problem for the mathematical model of HIV dynamics. in Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017., 8109842, Institute of Electrical and Electronics Engineers Inc., pp. 82-86, 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017, Novosibirsk, Russian Federation, 18.09.2017. https://doi.org/10.1109/SIBIRCON.2017.8109842

A parameter identification problem for the mathematical model of HIV dynamics. / Kabanikhin, Sergey; Krivorotko, Olga; Yermolenko, Darya.

Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 82-86 8109842.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

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