A parameter identification problem for the mathematical model of HIV dynamics

Sergey Kabanikhin, Olga Krivorotko, Darya Yermolenko

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-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 languageEnglish
Title of host publicationProceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages82-86
Number of pages5
ISBN (Electronic)9781538615966
DOIs
Publication statusPublished - 14 Nov 2017
Event2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 - Novosibirsk, Russian Federation
Duration: 18 Sep 201722 Sep 2017

Conference

Conference2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
CountryRussian Federation
CityNovosibirsk
Period18.09.201722.09.2017

Keywords

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

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