OPTIMAL DRUG REGIMENS IN CANCER-CHEMOTHERAPY FOR SINGLE DRUGS THAT BLOCK PROGRESSION THROUGH THE CELL-CYCLE

被引：23
作者：
MURRAY, JM
机构：
[1] School of Mathematics, University of New South Wales, Kensington, 2033
来源：
MATHEMATICAL BIOSCIENCES | 1994年 / 123卷 / 02期
关键词：
D O I：
10.1016/0025-5564(94)90011-6
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we study the application of a single drug in cancer chemotherapy where the drug can block progression through the cell cycle. Under certain conditions we determine the regimen that reduces the tumor population to a desired endpoint in minimal time while keeping a normal cell population above some lower limit. We also study the sensitivity of the optimal solution to various parameters.
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页码：183 / 213
页数：31
相关论文
共 10 条
[1]   A MODEL FOR THE RESISTANCE OF TUMOR-CELLS TO CANCER CHEMOTHERAPEUTIC-AGENTS [J].
COLDMAN, AJ ;
GOLDIE, JH .
MATHEMATICAL BIOSCIENCES, 1983, 65 (02) :291-307
[2]   MATHEMATICAL-MODEL OF CANCER-CHEMOTHERAPY - PERIODIC SCHEDULES OF PHASE-SPECIFIC CYTOTOXIC-AGENT ADMINISTRATION INCREASING THE SELECTIVITY OF THERAPY [J].
DIBROV, BF ;
ZHABOTINSKY, AM ;
NEYFAKH, YA ;
ORLOVA, MP ;
CHURIKOVA, LI .
MATHEMATICAL BIOSCIENCES, 1985, 73 (01) :1-31
[3]  
GOLDIE JH, 1979, CANCER TREAT REP, V63, P1727
[4]   LOW-INTENSITY COMBINATION CHEMOTHERAPY MAXIMIZES HOST SURVIVAL-TIME FOR TUMORS CONTAINING DRUG-RESISTANT CELLS [J].
MARTIN, RB ;
FISHER, ME ;
MINCHIN, RF ;
TEO, KL .
MATHEMATICAL BIOSCIENCES, 1992, 110 (02) :221-252
[5]   A MATHEMATICAL-MODEL OF CANCER-CHEMOTHERAPY WITH AN OPTIMAL SELECTION OF PARAMETERS [J].
MARTIN, RB ;
FISHER, ME ;
MINCHIN, RF ;
TEO, KL .
MATHEMATICAL BIOSCIENCES, 1990, 99 (02) :205-230
[6]   OPTIMAL-CONTROL FOR A CANCER-CHEMOTHERAPY PROBLEM WITH GENERAL GROWTH AND LOSS FUNCTIONS [J].
MURRAY, JM .
MATHEMATICAL BIOSCIENCES, 1990, 98 (02) :273-287
[7]  
Steel G.G., 1977, GROWTH KINETICS TUMO
[8]   ROLE OF OPTIMAL-CONTROL THEORY IN CANCER-CHEMOTHERAPY [J].
SWAN, GW .
MATHEMATICAL BIOSCIENCES, 1990, 101 (02) :237-284
[9]   A MODEL FOR ACTION OF VINBLASTINE IN VIVO [J].
VALERIOTE, FA ;
BRUCE, WR ;
MEEKER, BE .
BIOPHYSICAL JOURNAL, 1966, 6 (02) :145-+
[10]  
VALERIOTE FA, 1965, JNCI-J NATL CANCER I, V35, P851
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