论文信息 - Discrete mathematical models of an aggressive heterogeneous tumor growth with chemotherapy treatment

Discrete mathematical models of an aggressive heterogeneous tumor growth with chemotherapy treatment

Discrete mathematical models are proposed to study the dynamics of interacting cells of an organism that is affected by an aggressive heterogeneous tumor. The models include the application of a chemotherapy treatment. Different combinations of two drug applications are considered in order to identify the best one to eliminate the tumor.

Francisco J. Solis | Sandra E. Delgadillo

[1] Abdelkader Lakmeche,et al. Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors , 2001 .

[2] S Gallivan,et al. A mathematical model of the development of drug resistance to cancer chemotherapy. , 1987, European journal of cancer & clinical oncology.

[3] Goldie Jh,et al. A mathematic model for relating the drug sensitivity of tumors to their spontaneous mutation rate. , 1979 .

[4] J. Panetta,et al. A mathematical model of drug resistance: heterogeneous tumors. , 1998, Mathematical biosciences.

[5] B. Birkhead,et al. A mathematical model of drug resistance applied to treatment for small-cell lung cancer. , 1988, Journal of clinical oncology : official journal of the American Society of Clinical Oncology.

[6] E. Afenya. Using mathematical modeling as a resource in clinical trials. , 2005, Mathematical biosciences and engineering : MBE.

[7] J H Goldie,et al. A mathematic model for relating the drug sensitivity of tumors to their spontaneous mutation rate. , 1979, Cancer treatment reports.