A Dynamic Programming Approach for Approximate Optimal Control for Cancer Therapy

被引：2

作者：

Nowakowski, A. ^{[1
]}

Popa, A. ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2013年 / 156卷 / 02期

关键词：

Dynamic programming; epsilon-Optimal control problems; epsilon-Value function; Hamilton-Jacobi inequality; Cancer therapy; ANTIANGIOGENIC THERAPY; ANGIOGENESIS; RESISTANCE; MODEL;

D O I：

10.1007/s10957-012-0137-z

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In the last 15 years, tumor anti-angiogenesis became an active area of research in medicine and also in mathematical biology, and several models of dynamics and optimal controls of angiogenesis have been described. We use the Hamilton-Jacobi approach to study the numerical analysis of approximate optimal solutions to some of those models earlier analysed from the point of necessary optimality conditions in the series of papers by Ledzewicz and Schaettler.

引用

页码：365 / 379

页数：15

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