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

W Djema 1 C. Bonnet 1 J Clairambault 2 F Mazenc 1 P Hirsch 3 F Delhommeau 3
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
2 MAMBA - Modelling and Analysis for Medical and Biological Applications
LJLL - Laboratoire Jacques-Louis Lions, Inria de Paris
3 Laboratoire d'Hématologie et d'Immunologie [CHU Saint-Antoine]
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.
Keywords : Delay Nonlinear Exponential stability
Document type :
Conference papers
Complete list of metadatas

Cited literature [29 references]  Display  Hide  Download
https://hal.inria.fr/hal-01677927
Contributor : Catherine Bonnet <>
Submitted on : Monday, January 8, 2018 - 4:53:46 PM
Last modification on : Tuesday, May 14, 2019 - 11:06:28 AM
Long-term archiving on : Saturday, May 5, 2018 - 12:33:25 AM

File

2017_American_Control_Conferen...
Files produced by the author(s)

Identifiers

Collections

UPMC | LJLL | L2S | INRIA | CENTRALESUPELEC | SUP_LSS | INRIA2017 | SUP_SYSTEMES | UNIV-PARIS-SACLAY | INRIA-ROCQ | SORBONNE-UNIVERSITE | UNIV-PARIS7 | USPC | SU-SCIENCES

Citation

W Djema, C. Bonnet, J Clairambault, F 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⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

438

Files downloads

148

Contact


archive-ouverte@inria.fr