Acute leukemia and chemotherapy: A modeling viewpoint

被引:37
作者
Afenya, E
机构
[1] Department of Mathematics, Elmhurst College, Elmhurst, IL 60126
关键词
D O I
10.1016/S0025-5564(96)00086-7
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A couple of models of acute myeloblastic leukemia (AML) are proposed Normal and leukemic cells are assumed to exist side-by-side with the two cell populations obeying Gompertzian dynamics but with the leukemic cells exercising inhibition over the normal cells. The kinetic equations and steady-state properties of one of the models is analytically obtained. Possible situations of detection or nondetection of malignancy are then discussed. Based on the models of AML, a treatment model is proposed and numerically simulated. Consequently, the option of aggressive treatment of the disease with heavy doses of drugs is shown to be a plausible and worthwhile chemotherapeutic strategy. (C) Elsevier Science Inc., 1996
引用
收藏
页码:79 / 100
页数:22
相关论文
共 31 条
[1]  
AFENYA EK, 1992, THESIS U ILLINOIS CH
[2]  
AFENYA EK, 1996, UNPUB TREATMENT STRA
[3]   STUDIES OF CELLULAR PROLIFERATION IN HUMAN LEUKEMIA .I. ESTIMATION OF GROWTH RATES OF LEUKEMIC AND NORMAL HEMATOPOIETIC CELLS IN 2 ADULTS WITH ACUTE LEUKEMIA GIVEN SINGLE INJECTIONS OF TRITIATED THYMIDINE [J].
CLARKSON, B ;
OHKITA, T ;
OTA, K ;
FRIED, J .
JOURNAL OF CLINICAL INVESTIGATION, 1967, 46 (04) :506-&
[4]  
Clarkson B D, 1973, Bibl Haematol, V39, P1098
[5]  
CLARKSON BD, 1972, CANCER, V30, P1572, DOI 10.1002/1097-0142(197212)30:6<1572::AID-CNCR2820300624>3.0.CO
[6]  
2-M
[7]  
CLARKSON BD, 1964, P AM ASSOC CANC RES, V5, P43
[8]   A NEW MODEL FOR TUMOR-GROWTH ANALYSIS BASED ON A POSTULATED INHIBITORY SUBSTANCE [J].
COX, EB ;
WOODBURY, MA ;
MYERS, LE .
COMPUTERS AND BIOMEDICAL RESEARCH, 1980, 13 (05) :437-445
[9]   COMPARISON OF OUTCOMES AND PROGNOSTIC FACTORS FOR 2 GROUPS OF PATIENTS WITH ACUTE MYELOBLASTIC-LEUKEMIA [J].
CURTIS, JE ;
TILL, JE ;
MESSNER, HA ;
SOUSAN, P ;
MCCULLOCH, EA .
LEUKEMIA RESEARCH, 1979, 3 (06) :409-416
[10]   NEUTROPHIL KINETICS IN MAN [J].
DANCEY, JT ;
DEUBELBEISS, KA ;
HARKER, LA ;
FINCH, CA .
JOURNAL OF CLINICAL INVESTIGATION, 1976, 58 (03) :705-715