A MATHEMATICAL-MODEL OF CYCLE-SPECIFIC CHEMOTHERAPY

被引：105
作者：
PANETTA, JC
ADAM, J
机构：
[1] Department of Mathematics and Statistics, Old Dominion University Norfolk
来源：
MATHEMATICAL AND COMPUTER MODELLING | 1995年 / 22卷 / 02期
关键词：
PERIODIC DIFFERENTIAL EQUATION; CANCER; CHEMOTHERAPY; CELL-CYCLE; QUIESCENCE;
D O I：
10.1016/0895-7177(95)00112-F
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A mathematical model is used to discuss the effects of cycle-specific chemotherapy. The model includes a constraint equation which describes the effects of the drugs on sensitive normal tissue such as bone marrow. This model investigates both pulsed and piecewise-continuous chemotherapeutic effects and calculates the parameter regions of acceptable dose and period. It also identifies the optimal period needed for maximal tumor reduction. Examples are included concerning the use of growth factors and how they can enhance the cell kill of the chemotherapeutic drugs.
引用
收藏
页码：67 / 82
页数：16
相关论文
共 13 条
[1]   REDUCTION OF CYTO-TOXICITY TO NORMAL-TISSUES BY NEW REGIMENS OF CELL-CYCLE PHASE-SPECIFIC DRUGS [J].
AGUR, Z ;
ARNON, R ;
SCHECHTER, B .
MATHEMATICAL BIOSCIENCES, 1988, 92 (01) :1-15
[2]  
[Anonymous], 1991, TEXTS APPL MATH
[3]  
BHALLA K, 1991, BLOOD, V78, P2674
[4]   A MATHEMATICAL-MODEL OF THE EFFECTS OF DRUG-RESISTANCE IN CANCER-CHEMOTHERAPY [J].
BIRKHEAD, BG ;
GREGORY, WM .
MATHEMATICAL BIOSCIENCES, 1984, 72 (01) :59-69
[5]  
BIRKHEAD BG, 1987, EUR J CANCER CLIN ON, V28, P1421
[6]   A THEORETICAL-ANALYSIS OF INTERVAL DRUG DOSING FOR CELL-CYCLE-PHASE-SPECIFIC DRUGS [J].
COJOCARU, L ;
AGUR, Z .
MATHEMATICAL BIOSCIENCES, 1992, 109 (01) :85-97
[7]   THE USE OF HEMATOPOIETIC GROWTH-FACTORS TO SUPPORT CYTOTOXIC CHEMOTHERAPY FOR PATIENTS WITH BREAST-CANCER [J].
DEMETRI, GD .
HEMATOLOGY-ONCOLOGY CLINICS OF NORTH AMERICA, 1994, 8 (01) :233-249
[8]  
EISEN M, 1977, B MATH BIOL, V39, P597
[9]   A TUMOR CELL MODEL FOR DETERMINATION OF DRUG SCHEDULES AND DRUG EFFECT IN TUMOR REDUCTION [J].
KUZMA, JW ;
VALAND, I ;
BATEMAN, J .
BULLETIN OF MATHEMATICAL BIOPHYSICS, 1969, 31 (04) :637-&
[10]  
PANETTA JC, UNPUB B MATH BIOL
12