Optimal control problem for a general reaction-diffusion tumor-immune interaction system of mixed immunotherapy and chemotherapy

被引：3
|
作者：
Dai, Feng [1 ,2 ,3 ]
Liu, Bin [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China
[3] Huazhong Univ Sci & Technol, Inst Artificial Intelligence, Wuhan 430074, Hubei, Peoples R China
来源：
EUROPEAN JOURNAL OF CONTROL | 2022年 / 66卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Reaction-diffusion tumor-immune interaction system; Immunotherapy and chemotherapy; Strong solution; Optimal control; First-order necessary optimality condition; CANCER-IMMUNOTHERAPY; TISSUE INVASION; MODEL; OPTIMIZATION; EXISTENCE; THERAPY;
D O I：
10.1016/j.ejcon.2022.100645
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An optimal control problem for a general reaction-diffusion tumor-immune interaction system under immunotherapy and chemotherapy is discussed to minimize the weighted tumor burden, side effects and treatment costs. The existence, uniqueness and some estimates of strong solution to the state system are obtained by means of the truncation method and semigroup theory. We verify the existence of optimal pair by utilizing the technique of minimizing sequence. The first-order necessary optimality condition and characterization of the optimal control are also derived by proving the differentiability of the control-to-state mapping. In addition, some numerical simulations for this optimal control problem are carried out to present the numerical verification and concrete realization of the theoretical results obtained in this work. (c) 2022 European Control Association. Published by Elsevier Ltd. All rights reserved.
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页数：15
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