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 inNonlinear analysis: real world applications Vol. 10; no. 5; pp. 2709 - 2715
Main Authors Freedman, H.I., Pinho, S.T.R.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2009
Subjects
Cancer modelling
Cure state
Equilibria
Ordinary differential equations
Radiation
Stability
Cancer modelling
Ordinary differential equations
Stability
Equilibria
Cure state
Radiation
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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