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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.
Cited literature [29 references]
https://hal.inria.fr/hal-01677927
Contributor : Catherine Bonnet Connect in order to contact the contributor
Submitted on : Monday, January 8, 2018 - 4:53:46 PM
Last modification on : Thursday, January 27, 2022 - 3:27:12 AM
Long-term archiving on: : Saturday, May 5, 2018 - 12:33:25 AM
Contributor : Catherine Bonnet Connect in order to contact the contributor
Submitted on : Monday, January 8, 2018 - 4:53:46 PM
Last modification on : Thursday, January 27, 2022 - 3:27:12 AM
Long-term archiving on: : Saturday, May 5, 2018 - 12:33:25 AM
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