A mathematical model of drug resistance: Heterogeneous tumors
作者： John Carl Panetta
DOI: 10.1016/S0025-5564(97)00080-1
关键词: Combined treatment 、 Drug resistance 、 Combination chemotherapy 、 Negative therapeutic reaction 、 Mathematical optimization 、 Effective treatment 、 Ordinary differential equation 、 Cancer 、 Medicine 、 Pathology
摘要: A mathematical model is developed to describe the growth and control of a heterogeneous tumor. The main aspect that it takes into account induced drug resistance. system two ordinary differential equations describes cancer along with effects chemotherapy. analyzed determine what some critical parameters are; how we an effective treatment; combination chemotherapy should be delivered; this may help us develop more chemotherapeutic treatments.
elsevier.com
sci-hub.se 参考文章(15)
R T Schimke, Gene amplification in cultured cells. Journal of Biological Chemistry. ,vol. 263, pp. 5989- 5992 ,(1988) , 10.1016/S0021-9258(18)68734-4
W M Gregory, B G Birkhead, R L Souhami, A mathematical model of drug resistance applied to treatment for small- cell lung cancer Journal of Clinical Oncology. ,vol. 6, pp. 457- 461 ,(1988) , 10.1200/JCO.1988.6.3.457
R. L. Souhami, W. M. Gregory, B. G. Birkhead, Mathematical Models in High-Dose Chemotherapy Treatment Modalities in Lung Cancer. ,vol. 41, pp. 21- 28 ,(1988) , 10.1159/000416178
B.G. Birkhead, W.M. Gregory, A mathematical model of the effects of drug resistance in cancer chemotherapy Bellman Prize in Mathematical Biosciences. ,vol. 72, pp. 59- 69 ,(1984) , 10.1016/0025-5564(84)90061-0
Robert T. Schimke, Gene amplification, drug resistance, and cancer Cancer Research. ,vol. 44, pp. 1735- 1742 ,(1984)
Seth Michelson, John T. Leith, Unexpected equilibria resulting from differing growth rates of subpopulations within heterogeneous tumors Bellman Prize in Mathematical Biosciences. ,vol. 91, pp. 119- 129 ,(1988) , 10.1016/0025-5564(88)90009-0
M C Berenbaum, Dose-response curves for agents that impair cell reproductive integrity. The relation between dose-response curves and the design of selective regimens in cancer chemotherapy. British Journal of Cancer. ,vol. 23, pp. 434- 445 ,(1969) , 10.1038/BJC.1969.56
Howard E. Skipper, On mathematical modeling of critical variables in cancer treatment (goals: Better understanding of the past and better planning in the future) Bulletin of Mathematical Biology. ,vol. 48, pp. 253- 278 ,(1986) , 10.1007/BF02459681
J Panetta, A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment Bulletin of Mathematical Biology. ,vol. 58, pp. 425- 447 ,(1996) , 10.1016/0092-8240(95)00346-0
I GYORI, S MICHELSON, J LEITH, Time-dependent subpopulation induction in heterogeneous tumors. Bulletin of Mathematical Biology. ,vol. 50, pp. 681- 696 ,(1988) , 10.1016/S0092-8240(88)80061-2