Stability criteria for the cure state in a cancer model with radiation treatment

In the present paper, a model for treatment by radiation of cancer is developed, where the radiation affects normal cells proportionately. We consider only the case where the radiation delivery is constant. In particular, we are interested in the existence and stability properties of a “cure state”,...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2009-10, Vol.10 (5), p.2709-2715
Main Authors: Freedman, H.I., Pinho, S.T.R.
Format: Article
Language:English
Subjects:
Cancer modelling
Cure state
Equilibria
Ordinary differential equations
Radiation
Stability
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Summary:In the present paper, a model for treatment by radiation of cancer is developed, where the radiation affects normal cells proportionately. We consider only the case where the radiation delivery is constant. In particular, we are interested in the existence and stability properties of a “cure state”, i.e. a steady state in which the cancer is absent. We use ordinary differential equations to model the growth and interactions. We utilize both analytical and numerical analysis to obtain our results.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2008.08.001