HIV动力学数学模型的参数辨识问题

2017 International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON) Pub Date : 2017-09-01 DOI:10.1109/SIBIRCON.2017.8109842

S. Kabanikhin, O. Krivorotko, D. Yermolenko

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引用次数: 0

摘要

本文用数值方法研究了HIV动力学数学模型中使用t淋巴细胞、游离病毒和免疫效应器在固定时间的浓度的附加测量来指定HIV感染参数和免疫反应的问题。将指定数学模型参数的问题(逆问题)简化为描述仿真结果与实验数据偏差的目标函数的最小化问题。实现并研究了一种求解最小二乘函数最小化问题的遗传算法。分析了反问题的一个数值解的结果。

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A parameter identification problem for the mathematical model of HIV dynamics

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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来源期刊

2017 International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON)

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