Standard

A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level. / Banks, H. Thomas; Kabanikhin, Sergey I.; Krivorotko, Olga I. et al.

In: Journal of Inverse and Ill-Posed Problems, Vol. 26, No. 6, 01.12.2018, p. 859-873.

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

Harvard

Banks, HT, Kabanikhin, SI, Krivorotko, OI & Yermolenko, DV 2018, 'A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level', Journal of Inverse and Ill-Posed Problems, vol. 26, no. 6, pp. 859-873. https://doi.org/10.1515/jiip-2018-0019

APA

Banks, H. T., Kabanikhin, S. I., Krivorotko, O. I., & Yermolenko, D. V. (2018). A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level. Journal of Inverse and Ill-Posed Problems, 26(6), 859-873. https://doi.org/10.1515/jiip-2018-0019

Vancouver

Banks HT, Kabanikhin SI, Krivorotko OI, Yermolenko DV. A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level. Journal of Inverse and Ill-Posed Problems. 2018 Dec 1;26(6):859-873. doi: 10.1515/jiip-2018-0019

Author

Banks, H. Thomas ; Kabanikhin, Sergey I. ; Krivorotko, Olga I. et al. / A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level. In: Journal of Inverse and Ill-Posed Problems. 2018 ; Vol. 26, No. 6. pp. 859-873.

BibTeX

@article{ea09477644b54809938070921058f515,
title = "A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level",
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.",
keywords = "confidence intervals, genetic algorithm, inverse problem, Mathematical model of HIV dynamics, optimization approach, parameter specification problem",
author = "Banks, {H. Thomas} and Kabanikhin, {Sergey I.} and Krivorotko, {Olga I.} and Yermolenko, {Darya V.}",
note = "Publisher Copyright: {\textcopyright} 2018 Walter de Gruyter GmbH, Berlin/Boston.",
year = "2018",
month = dec,
day = "1",
doi = "10.1515/jiip-2018-0019",
language = "English",
volume = "26",
pages = "859--873",
journal = "Journal of Inverse and Ill-Posed Problems",
issn = "0928-0219",
publisher = "Walter de Gruyter GmbH",
number = "6",

}

RIS

TY - JOUR

T1 - A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level

AU - Banks, H. Thomas

AU - Kabanikhin, Sergey I.

AU - Krivorotko, Olga I.

AU - Yermolenko, Darya V.

N1 - Publisher Copyright: © 2018 Walter de Gruyter GmbH, Berlin/Boston.

PY - 2018/12/1

Y1 - 2018/12/1

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

UR - http://www.scopus.com/inward/record.url?scp=85057331217&partnerID=8YFLogxK

U2 - 10.1515/jiip-2018-0019

DO - 10.1515/jiip-2018-0019

M3 - Article

AN - SCOPUS:85057331217

VL - 26

SP - 859

EP - 873

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

SN - 0928-0219

IS - 6

ER -

ID: 17567418