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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

Harvard

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

APA

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

Vancouver

Kabanikhin S, Krivorotko O, Yermolenko D. 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. Institute of Electrical and Electronics Engineers Inc. 2017. p. 82-86. 8109842 doi: 10.1109/SIBIRCON.2017.8109842

Author

Kabanikhin, Sergey ; Krivorotko, Olga ; Yermolenko, Darya. / A parameter identification problem for the mathematical model of HIV dynamics. Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 82-86

BibTeX

@inproceedings{b64418df82b848d792b0a52134077e70,
title = "A parameter identification problem for the mathematical model of HIV dynamics",
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",
author = "Sergey Kabanikhin and Olga Krivorotko and Darya Yermolenko",
year = "2017",
month = nov,
day = "14",
doi = "10.1109/SIBIRCON.2017.8109842",
language = "English",
pages = "82--86",
booktitle = "Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 ; Conference date: 18-09-2017 Through 22-09-2017",

}

RIS

TY - GEN

T1 - A parameter identification problem for the mathematical model of HIV dynamics

AU - Kabanikhin, Sergey

AU - Krivorotko, Olga

AU - Yermolenko, Darya

PY - 2017/11/14

Y1 - 2017/11/14

N2 - 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.

AB - 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.

KW - Genetic algorithm

KW - Inverse problem

KW - Least square method

KW - Mathematical model of HIV dynamics

UR - http://www.scopus.com/inward/record.url?scp=85040507339&partnerID=8YFLogxK

U2 - 10.1109/SIBIRCON.2017.8109842

DO - 10.1109/SIBIRCON.2017.8109842

M3 - Conference contribution

AN - SCOPUS:85040507339

SP - 82

EP - 86

BT - Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017

Y2 - 18 September 2017 through 22 September 2017

ER -

ID: 9640833