CHEMOTHERAPEUTIC TREATMENTS INVOLVING DRUG-RESISTANCE AND LEVEL OF NORMAL-CELLS AS A CRITERION OF TOXICITY

被引：24

作者：

COSTA, MIS ^{[1
]}

BOLDRINI, JL ^{[1
]}

BASSANEZI, RC ^{[1
]}

机构：

[1] UNIV ESTADUAL CAMPINAS,INST MATEMAT ESTATIST & CIENCIA COMP,BR-13081970 CAMPINAS,BRAZIL

来源：

MATHEMATICAL BIOSCIENCES | 1995年 / 125卷 / 02期

关键词：

D O I：

10.1016/0025-5564(94)00028-X

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A system of differential equations for the control of tumor cells growth in a cycle nonspecific chemotherapy is presented. Drug resistance and toxicity conveyed through the level of normal cells are taken into account in a class of optimal control problems. Alternative treatments for the exponential tumor growth are set forth for cases where optimal treatments are not available.

引用

页码：211 / 228

页数：18

共 24 条

[11]

Kirk D.E., 2004, OPTIMAL CONTROL THEO

[12]

LEE EB, 1967, F OPTIMAL CONTROL TH

[13] SOME OPTIMAL-CONTROL PROBLEMS IN CANCER-CHEMOTHERAPY WITH A TOXICITY LIMIT [J].

MURRAY, JM .

MATHEMATICAL BIOSCIENCES, 1990, 100 (01) :49-67

[14] OPTIMAL-CONTROL FOR A CANCER-CHEMOTHERAPY PROBLEM WITH GENERAL GROWTH AND LOSS FUNCTIONS [J].

MURRAY, JM .

MATHEMATICAL BIOSCIENCES, 1990, 98 (02) :273-287

[15]

Sage A.P., 1968, OPTIMUM SYSTEMS CONT

[16] THE 40-YEAR-OLD MUTATION THEORY OF LURIA AND DELBRUCK AND ITS PERTINENCE TO CANCER-CHEMOTHERAPY [J].

SKIPPER, HE .

ADVANCES IN CANCER RESEARCH, 1983, 40 :331-363

[17]

SWAN GW, 1988, IMA J MATH APPL MED, V5, P303

[18] OPTIMAL-CONTROL ANALYSIS IN CHEMOTHERAPY OF IGG MULTIPLE-MYELOMA [J].

SWAN, GW ;

VINCENT, TL .

BULLETIN OF MATHEMATICAL BIOLOGY, 1977, 39 (03) :317-337

[19]

SWAN GW, 1987, IMA J MATH APPL MED, V4, P171

[20] ROLE OF OPTIMAL-CONTROL THEORY IN CANCER-CHEMOTHERAPY [J].

SWAN, GW .

MATHEMATICAL BIOSCIENCES, 1990, 101 (02) :237-284

← 1 2 3 →