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

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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W Djema, C. Bonnet, J Clairambault, Frédéric Mazenc, P Hirsch, et al.. Analysis of a Model of Dormancy in Cancer as a State of Coexistence Between Tumor and Healthy Stem Cells. IEEE American Control Conference (ACC) 2017, May 2017, Seattle, United States. pp.5135-5140, ⟨10.23919/ACC.2017.7963751⟩. ⟨hal-01677927⟩

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