Optimal control of a basic model of oncolytic virotherapy

被引：2

作者：

Abu-Rqayiq, Abdullah ^{[1
]}

Alayed, Haneen ^{[2
]}

Zannon, Mohammad ^{[3
]}

机构：

[1] Texas A&M Univ, Dept Math & Stat, Corpus Christi, TX 78412 USA

[2] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

[3] Tafilah Tech Univ, Dept Math & Stat, At Tafilah, Jordan

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2022年 / 24卷 / 02期

关键词：

Oncolytic virotherapy; optimal control; tumor cells; hamiltonian; DEFINING CONDITIONS; VIRUS;

D O I：

10.22436/jmcs.024.02.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper applies an optimal control approach to study the dynamics of a basic Oncolytic Virotherapy model. This study applies mathematical modeling based on an established basic oncolytic virotherapy model for tumor growth. Choosing an appropriate control strategy is essential to reduce the cost of the therapy. By applying optimal control theory, we seek to minimize the cost of virotherapy and reduce the load of tumor cells. The existence of optimal control is proved. State solution given an optimal strategy and the optimal control is determined. Numerical simulation is carried out to visualize and support our results.

引用

页码：119 / 126

页数：8

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