Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors

[1]  J. Panetta,et al.  A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competitive environment. , 1996, Bulletin of mathematical biology.

[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]  R. Burger,et al.  Host-tumor interaction in ovarian cancer. Spontaneous release of tumor necrosis factor and interleukin-1 inhibitors by purified cell populations from human ovarian carcinoma in vitro. , 1994, Gynecologic oncology.

[4]  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.

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

[6]  Goldie Jh,et al.  Role of mathematical modeling in protocol formulation in cancer chemotherapy. , 1985 .

[7]  G. Iooss.  Bifurcation of maps and applications , 1979 .

[8]  Nicola Bellomo,et al.  Dynamics of tumor interaction with the host immune system , 1994 .

[9]  D. Baĭnov,et al.  Systems with impulse effect : stability, theory, and applications , 1989 .

[10]  M. C. Berenbaum,et al.  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. , 1969, British Journal of Cancer.

[11]  B. G. Birkhead,et al.  A mathematical model of the effects of drug resistance in cancer chemotherapy , 1984 .

[12]  H. Cartan,et al.  Cours de calcul différentiel , 1977 .

[13]  J. Hale,et al.  Methods of Bifurcation Theory , 1996 .

[14]  J. Leith,et al.  Growth factors and growth control of heterogeneous cell populations. , 1993, Bulletin of mathematical biology.

[15]  R. Weinberg,et al.  Malignant transformation of mouse primary keratinocytes by Harvey sarcoma virus and its modulation by surrounding normal cells. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[16]  V. Lakshmikantham,et al.  Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

[17]  J. Leith,et al.  Interlocking triads of growth control in tumors. , 1995, Bulletin of mathematical biology.

[18]  I. Győri,et al.  Time-dependent subpopulation induction in heterogeneous tumors. , 1988, Bulletin of mathematical biology.

[19]  J. Leith,et al.  Effects of differential cell kill on the dynamic composition of heterogeneous tumors , 1990 .