OPTIMAL CHEMOTHERAPY - A CASE-STUDY WITH DRUG-RESISTANCE, SATURATION EFFECT, AND TOXICITY

被引：0
|
作者：
COSTA, MIS [1 ]
BOLDRINI, JL [1 ]
BASSANEZI, RC [1 ]
机构：
[1] UNIV ESTADUAL CAMPINAS,INST MATEMAT ESTATIST & CIENCIA,BR-13081 CAMPINAS,SP,BRAZIL
来源：
IMA JOURNAL OF MATHEMATICS APPLIED IN MEDICINE AND BIOLOGY | 1994年 / 11卷 / 01期
关键词：
OPTIMAL CONTROL; SATURATION EFFECT; DRUG RESISTANCE; TOXICITY; CANCER CHEMOTHERAPY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A system of differential equations for the control of tumour cell growth in a cycle-nonspecific chemotherapy is presented. A rate-of-kill term of saturation type, drug resistance, and toxicity are taken into account in a class of optimal control problems. Some results are obtained for general tumour cell growth rates. A detailed analysis is presented for the Malthusian cell growth, which shows a variety of optimal treatments according to the values of the model parameters and initial tumour level.
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页码：45 / 59
页数：15
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