Stability of a Delay System Coupled to a Differential-Difference System Describing the Coexistence of Ordinary and Mutated Hematopoietic Stem Cells - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2016

Stability of a Delay System Coupled to a Differential-Difference System Describing the Coexistence of Ordinary and Mutated Hematopoietic Stem Cells

Résumé

A new mathematical model that represents the coexistence between normal and leukemic populations of cells is proposed and analyzed. It is composed by a nonlinear time-delay system describing the dynamics of ordinary stem cells, coupled to a differential-difference system governing the dynamics of mutated cells. A Lyapunov-like technique is devel- oped in order to investigate the stability properties of a steady state where healthy cells survive while leukemic ones are eradicated. Exponential stability of solutions is established, estimate of their decay rate is given and a subset of the basin of attraction of the desired steady state is provided.

Domaines

Automatique
Fichier principal
Vignette du fichier
HALCDC.pdf (1 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01389870 , version 1 (30-10-2016)
hal-01389870 , version 2 (09-01-2017)
hal-01389870 , version 3 (08-02-2017)

Identifiants

Citer

Walid Djema, Frédéric Mazenc, Catherine Bonnet, Jean Clairambault, P Hirsch, et al.. Stability of a Delay System Coupled to a Differential-Difference System Describing the Coexistence of Ordinary and Mutated Hematopoietic Stem Cells. 55th IEEE Conference on Decision and Control (CDC 2016), Dec 2016, Las Vegas, United States. ⟨10.1109/cdc.2016.7798328⟩. ⟨hal-01389870v3⟩
506 Consultations
456 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More