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 journalArticlepeer-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 languageEnglish
Pages (from-to)859-873
Number of pages15
JournalJournal of Inverse and Ill-Posed Problems
Volume26
Issue number6
DOIs
Publication statusPublished - 1 Dec 2018

Keywords

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

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