A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level-Reference-Cited by-同舟云学术

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

Published:2018-12-01 Issue:6 Volume:26 Page:859-873
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:
Short-container-title:

Author:

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

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2018-0019/pdf

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