A discrete-maturity Interconnected Model of Healthy and Cancer Cell Dynamics in Acute Myeloid Leukemia

José Luis Avila Alonso 1, 2, 3 Catherine Bonnet 1, 2, 3 Hitay Ozbay 4 Jean Clairambault 5, 6 Silviu-Iulian Niculescu 1, 2, 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
3 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
5 MAMBA - Modelling and Analysis for Medical and Biological Applications
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
Abstract : In this paper we propose a coupled model for healthy and cancer cell dynamics in Acute Myeloid Leukemia consisting of two stages of maturation for cancer cells and three stages of maturation for healthy cells. The cell dynamics are modelled by nonlinear partial differential equations (PDE). Applying the method of characteristics enable us to reduce the PDE model to a nonlinear distributed delay system. For an equilibrium point of interest, necessary and sufficient conditions of local asymptotic stability are given. The results are illustrated with numerical examples and simulations.
Type de document :
Communication dans un congrès
Mathematical Theory of Networks and Systems, Jul 2014, Groningen, Netherlands. 2014
Liste complète des métadonnées

https://hal.inria.fr/hal-00940305
Contributeur : José Luis Emanuelle Avila Alonso <>
Soumis le : vendredi 31 janvier 2014 - 16:58:57
Dernière modification le : vendredi 31 août 2018 - 09:06:03

Identifiants

  • HAL Id : hal-00940305, version 1

Collections

Citation

José Luis Avila Alonso, Catherine Bonnet, Hitay Ozbay, Jean Clairambault, Silviu-Iulian Niculescu. A discrete-maturity Interconnected Model of Healthy and Cancer Cell Dynamics in Acute Myeloid Leukemia. Mathematical Theory of Networks and Systems, Jul 2014, Groningen, Netherlands. 2014. 〈hal-00940305〉

Partager

Métriques

Consultations de la notice

777