On optimal delivery of combination therapy for tumors

被引：121
作者：
d'Onofrio, Alberto [2 ]
Ledzewicz, Urszula [1 ]
Maurer, Helmut [3 ]
Schaettler, Heinz [4 ]
机构：
[1] So Illinois Univ, Dept Math & Stat, Edwardsville, IL 62026 USA
[2] European Inst Oncol, Dept Expt Oncol, I-20139 Milan, Italy
[3] Univ Munster, Inst Numer & Angew Math, D-48149 Munster, Germany
[4] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA
来源：
MATHEMATICAL BIOSCIENCES | 2009年 / 222卷 / 01期
基金：
美国国家科学基金会;
关键词：
Combination therapy for tumors; Anti-angiogenesis; Chemotherapy; Mathematical model; Optimal control; ANTIANGIOGENIC THERAPY; MATHEMATICAL-MODELS; ANTI-ANGIOGENESIS; CANCER; GROWTH; CHEMOTHERAPY; VASCULATURE; RESISTANT; DYNAMICS; DRUGS;
D O I：
10.1016/j.mbs.2009.08.004
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A mathematical model for the scheduling of angiogenic inhibitors in combination with a chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication under constant infusion therapies. Then the optimal scheduling of a vessel disruptive agent in combination with a cytotoxic drug is considered as an optimal control problem. Both theoretical and numerical results on the structure of optimal controls are presented. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：13 / 26
页数：14
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