Download e-book for kindle: Algebraic Methods in the Global Theory of Complex Spaces by Constantin Banica, Octavian Stanasila

By Constantin Banica, Octavian Stanasila

ISBN-10: 0471018090

ISBN-13: 9780471018094

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Further, the maximum value of α we consider is 10−4, which also satisfies the constraint imposed by this proposition. 4, treatment should successfully eradicate all tumor cells. Yet, this is only consistent with two of the four numerical simulations presented. The other two cases correspond to a drug resistant tumor and complete treatment failure. This discrepancy can be explained by the one assumption made during the theoretical analysis: we assumed that all cancer cells incur constant levels of damage at each time point during treatment (η ).

L. M. Byrne (2000) A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy, Math. Biosci. 164:17–38. 35. J. Lee, J. G. R. B. Frieboes (2013) Predictive modeling of in vivo response to gemcitabine in pancreatic cancer, PLoS Comput. Biol. 9(9):e1003231. 36. S. A. Gatenby (2010) A theoretical quantitative model for evolution of cancer chemotherapy resistance, Biol. Direct. 5(1):25. 37. A. Lorz, T. E. Hochberg, J. Clairambault, B.

10. L. J. Bissell (2012) The tumor microenvironment is a dominant force in multidrug resistance, Drug Resist. Update, 15:39–49. 11. H. Lage. An overview of cancer multidrug resistance: a still unsolved problem (2008) Cellular and Mol. Life Sci. 65:3145–3167. 12. K. Cheung-Ong, G. Giaever, C. Nislow (2013) DNA-Damaging Agents in Cancer Chemotherapy: Serendipity and Chemical Biology, Cell Chem. Biol. 20:648–659. 13. D. J. Turchi (2013) Chemotherapy induced DNA damage response Convergence of drugs and pathways, Cancer Biol.

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Algebraic Methods in the Global Theory of Complex Spaces by Constantin Banica, Octavian Stanasila


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