An optimal control problem in cancer chemotherapy

被引：8

作者：

Krabs, Werner ^{[2
]}

Pickl, Stefan ^{[1
]}

机构：

[1] Univ Bundeswehr Munchen, Fak Informat, D-85577 Neubiberg, Germany

[2] Tech Univ Darmstadt, Dept Math, D-64289 Darmstadt, Germany

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 03期

关键词：

Chemotherapy; Optimal control; Bang-Bang controls;

D O I：

10.1016/j.amc.2010.05.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a mathematical model for the control of the growth of tumor cells which is formulated as a problem of optimal control theory. It is concerned with chemotherapeutic treatment of cancer and aims at the minimization of the size of the tumor at the end of a certain time interval of treatment with a limited amount of drugs. The treatment is controlled by the dosis of drugs that is administered per time unit for which also a limit is prescribed. It is shown that optimal controls are of bang-bang type and can be chosen at the upper limit, if the total amount of drugs is large enough. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1117 / 1124

页数：8

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