OPTIMAL-CONTROL FOR A CANCER-CHEMOTHERAPY PROBLEM WITH GENERAL GROWTH AND LOSS FUNCTIONS

被引：85

作者：

MURRAY, JM

机构：

[1] Department of Applied Mathematics, University of New South Wales, Kensington

来源：

MATHEMATICAL BIOSCIENCES | 1990年 / 98卷 / 02期

关键词：

D O I：

10.1016/0025-5564(90)90129-M

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We investigate a model of a cancer chemotherapy problem where the aim is to minimize the tumor burden at the end of the treatment period while maintaining a normal cell population above a lower level as a limit of toxicity. The analysis is performed for general classes of growth and loss functions. The optimal drug dose is maximum initially so that the normal cell population is driven down to its lower level, and then the drug level is chosen to maintain the normal cell population there until the end of treatment. During treatment the number of tumor cells is always decreasing. © 1990.

引用

页码：273 / 287

页数：15

共 8 条

[1]

Clarke F.H., 1983, OPTIMIZATION NONSMOO

[2] MATHEMATICAL-MODEL OF CANCER-CHEMOTHERAPY - PERIODIC SCHEDULES OF PHASE-SPECIFIC CYTOTOXIC-AGENT ADMINISTRATION INCREASING THE SELECTIVITY OF THERAPY [J].