Antiangiogenic therapy in cancer treatment as an optimal control problem

被引:120
作者
Ledzewicz, Urszula [1 ]
Schattler, Heinz
机构
[1] So Illinois Univ, Dept Math & Stat, Edwardsville, IL 62026 USA
[2] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA
关键词
optimal control; geometric methods; cancer treatment; antiangiogenic therapy;
D O I
10.1137/060665294
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Antiangiogenic therapy is a novel treatment approach in cancer therapy that aims at preventing a tumor from developing its own blood supply system that it needs for growth. In this paper a mathematical model for antiangiogenic treatments based on a biologically validated model by Hahnfeldt et al. is analyzed as an optimal control problem and a full solution of the problem is given. Geometric methods from optimal control theory are utilized to arrive at the solution.
引用
收藏
页码:1052 / 1079
页数:28
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