A parameter identification problem for the mathematical model of HIV dynamics

被引：0
|
作者：
Kabanikhin, Sergey [1 ]
Krivorotko, Olga [1 ]
Yermolenko, Darya [2 ]
机构：
[1] RAS, Inst Computat Math & Math Geophys, SB, Novosibirsk, Russia
[2] Novosibirsk State Univ, Novosibirsk, Russia
来源：
2017 INTERNATIONAL MULTI-CONFERENCE ON ENGINEERING, COMPUTER AND INFORMATION SCIENCES (SIBIRCON) | 2017年
关键词：
mathematical model of HIV dynamics; inverse problem; genetic algorithm; least square method;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
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页码：82 / 86
页数：5
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