A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level

H. Thomas Banks; Sergey I. Kabanikhin; Olga I. Krivorotko; Darya V. Yermolenko

doi:10.1515/jiip-2018-0019

A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level

H. Thomas Banks, Sergey I. Kabanikhin, Olga I. Krivorotko, Darya V. Yermolenko

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 the parameter specifying 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 is implemented and investigated. The results of a numerical solution of the inverse problem are analyzed.

Original language	English
Pages (from-to)	859-873
Number of pages	15
Journal	Journal of Inverse and Ill-Posed Problems
Volume	26
Issue number	6
DOIs	https://doi.org/10.1515/jiip-2018-0019
Publication status	Published - 1 Dec 2018

Keywords

confidence intervals
genetic algorithm
inverse problem
Mathematical model of HIV dynamics
optimization approach
parameter specification problem

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10.1515/jiip-2018-0019

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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 the parameter specifying 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 is implemented and investigated. The results of a numerical solution of the inverse problem are analyzed.",

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AU - Krivorotko, Olga I.

AU - Yermolenko, Darya V.

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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 the parameter specifying 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 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 the parameter specifying 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 is implemented and investigated. The results of a numerical solution of the inverse problem are analyzed.

KW - confidence intervals

KW - genetic algorithm

KW - inverse problem

KW - Mathematical model of HIV dynamics

KW - optimization approach

KW - parameter specification problem

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JF - Journal of Inverse and Ill-Posed Problems

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ER -

A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level

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Keywords

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