A model for cancer chemotherapy with state-space constraints

被引：15

作者：

de Pinho, Maria do Rosario ^{[2
]}

Ferreira, Maria Margarida ^{[2
]}

Ledzewicz, Urszula ^{[1
]}

Schaettler, Heinz ^{[3
]}

机构：

[1] So Illinois Univ, Dept Math & Stat, Edwardsville, IL 62026 USA

[2] Univ Porto, Fac Engn, Dept Engn Electrotecn & Comp, P-4099 Oporto, Portugal

[3] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

基金：

美国国家科学基金会;

关键词：

Optimal control; State space constraints; Cancer chemotherapy;

D O I：

10.1016/j.na.2005.02.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The analysis of optimal control problems is significantly more difficult when state space constraints are imposed and thus in many modelling approaches explicit constraints are handled by including penalty terms in the objective. In this paper, we use the example of a simple model for cancer chemotherapy to compare the structure of extremals when upper limits on the total number of cancer cells are imposed (a) implicitly through a penalty term in the objective and (b) explicitly in the form of state-space constraints. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：E2591 / E2602

页数：12

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