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.

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 -