Abstract
There are many drugs that are used in the treatment of cancer; some drugs kill cancer cells directly while others change the cancer microenvironment to make it resistant to cancer cells growth. In ChapterĀ 13, we considered a drug, TGF-Ī² inhibitor, which changes the macrophage phenotype, thereby enabling the immune system to kill cancer cells more effectively. In this chapter we consider two entirely different kinds of anti-cancer drugs. The first one blocks the activity of vascular endothelial growth factor (VEGF), and the second one uses virus to kill cancer cells.
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References
Coddington, E.A.: An Introduction to Ordinary Differential Equations. Dover, New York (1989)
Butcher, J.C.: Numerical Methods for Ordinary Differential Equation. Wiley, New York (2008)
Strang, G.: Linear Algebra and Its Applications, 4th edn. Brooks/Cole, Belmont (2005)
Gantmacher, F.R.: The Theory of Matrices, vol. 2. Chelsea, New York (1959)
van den Driessche, P., Watmough, J.: Further notes on the basic reproduction number. In:Ā Mathematical Epidemiology, pp. 159ā178. Springer, Berlin/Heidelberg (2008)
Hale, J.K., Kocak, H.: Dynamics and Bifurcations. Springer, New York (1991)
Friedman, A., Hao, W., Hu, B.: A free boundary problem for steady small plaques in the artery and their stability. J. Diff. Eqs. 259, 1227ā1255 (2015)
Louzoun, Y., Xue, C., Lesinski, G.B., Friedman, A.: A mathematical model for pancreatic cancer growth and treatment. J. Theor. Biol. 351, 74ā82 (2014)
Friedman, A., Tian, J.P., Fulci, G., Chiocca, E.A., Wang, J.: Glioma virotherapy: the effects of innate immune suppression and increased viral replication capacity. Cancer Res. 66, 2314ā2319 (2006)
Day, J., Friedman, A., Schlesinger, L.S.: Modeling the immune rheostat of macrophages in the lung in response to infection. Proc. Natl. Acad. Sci. USA 106, 11246ā11251 (2009)
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Chou, CS., Friedman, A. (2016). Cancer Therapy. In: Introduction to Mathematical Biology. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-29638-8_14
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