STABILITY AND CONTROL OF A CLASS OF COMPARTMENTAL-SYSTEMS WITH APPLICATION AND CANCER-THERAPY

被引：6
|
作者：
SUNDARESHAN, MK [1 ]
FUNDAKOWSKI, RA [1 ]
机构：
[1] HONEYWELL INC,CTR SYST & RES,MINNEAPOLIS,MN 55430
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1986年 / 31卷 / 11期
关键词：
MATHEMATICAL MODELS;
D O I：
10.1109/TAC.1986.1104163
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A multicompartmental model which portrays the progression of a population of biological cells through the different phases of the cell cycle is developed and a model reference adaptive algorithm for estimating model parameters is presented. An exponential stability framework is developed for quantifying the control effects of an administered-drug protocol and is used to design efficient treatment strategies for cancer chemotherapy by application of optimization concepts. Since the toxic effects of anticancer drugs on the normal cell populations of the body are the bottlenecks in successful chemotherapy, determination of dosing strategies that minimize toxicity while maximizing the therapeutic effects are of great importance. A mathematical formulation of this problem leads to the optimization of bilinear systems under exponential stability constraints for which a solution procedure is presented.
引用
收藏
页码：1022 / 1032
页数：11
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