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Analysis of a Model of Dormancy in Cancer as a State of Coexistence Between Tumor and Healthy Stem Cells

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Abstract

We study a mathematical model of co-habitation of healthy and unhealthy stem cells, in order to address some new biological concerns. In short, we will investigate the existence and the stability properties of a positive steady state of a model that is well adapted to the study of dormancy of cancer stem cells. Mathematically, we are concerned with the analysis of a nonlinear retarded system coupled to a nonlinear differential-difference system, in the time-domain framework, via a Lyapunov-like method.
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hal-01677927 , version 1 (08-01-2018)

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Walid Djema, Jean Clairambault, Frédéric Mazenc, Pierre Hirsch, Francois Delhommeau. Analysis of a Model of Dormancy in Cancer as a State of Coexistence Between Tumor and Healthy Stem Cells. ACC 2017 - American Control Conference, May 2017, Seattle, United States. pp.5135-5140, ⟨10.23919/ACC.2017.7963751⟩. ⟨hal-01677927⟩
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