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.
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页码：1117 / 1124
页数：8
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