Global dynamics of a cancer stem cell treatment model
by K. Abernathy; Z. Abernathy; R. Dougherty-Bliss; C. Mayer; H. Whiteside
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 9, No. 2, 2019

Abstract: We provide global stability arguments for a cancer treatment model with chemotherapy and radiotherapy that accounts for the cancer stem cell hypothesis. Employing the method of localisation of compact invariant sets, we resolve the global dynamics of the no-treatment, constant radiation, and combination chemotherapy and radiotherapy cases. In our analysis of the combination treatment model, we show that the presence of a chemotherapy agent lowers the required radiation strength for a globally stable cure state.

Online publication date: Thu, 04-Jul-2019

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