## 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 language | English |
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Pages (from-to) | 859-873 |

Number of pages | 15 |

Journal | Journal of Inverse and Ill-Posed Problems |

Volume | 26 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1 Dec 2018 |

## Keywords

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