Analysis of a model of dormancy in cancer as a state of coexistence between tumor and healthy stem cells

We study a mathematical model of cohabitation 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...

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Bibliographic Details
Main Authors: Djema, W., Bonnet, C., Clairambault, J., Mazenc, F., Hirsch, P., Delhommeau, F.
Format: Conference Proceeding
Language:English
Subjects:
Cancer
Cells (biology)
Delay
Exponential stability
Mathematical model
Nonlinear
Steady-state
Stem cells
Tumors
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Summary:We study a mathematical model of cohabitation 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.
ISSN:2378-5861
DOI:10.23919/ACC.2017.7963751