SOME OPTIMAL-CONTROL PROBLEMS IN CANCER-CHEMOTHERAPY WITH A TOXICITY LIMIT

被引:69
作者
MURRAY, JM
机构
[1] Department of Applied Mathematics, University of New South Wales, Kensington
关键词
D O I
10.1016/0025-5564(90)90047-3
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We investigate some models of a cancer chemotherapy problem where the normal cell population must be maintained above a lower limit and a measure of the total drug use is bounded as a limit of toxicity. Three sets of objective functions are analyzed, and some numerical solutions are provided for the last case. In all cases the structure of the optimal solution is similar, including a bolus application of drug followed later by continuous infusion. © 1990.
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页码:49 / 67
页数:19
相关论文
共 2 条
[1]  
Clarke F.H., 1983, OPTIMIZATION NONSMOO
[2]  
MURRAY JM, MATH BIOSCI