A coupled model for healthy and cancer cells 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 Systemes
L2S - Laboratoire des signaux et systèmes
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. This nonlinear model is reduced to a nonlinear distributed delay system. For an equilibrium point of interest, necessary and sufficient conditions of local asymptotic stability are given. Simulations illustrate the results.
Type de document :
Communication dans un congrès
The 19th World Congress of the International Federation of Automatic Control, Aug 2014, Groningen, South Africa. 2014
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https://hal.inria.fr/hal-00940245
Contributeur : José Luis Emanuelle Avila Alonso <>
Soumis le : vendredi 31 janvier 2014 - 16:10:42
Dernière modification le : jeudi 11 janvier 2018 - 06:26:42

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  • HAL Id : hal-00940245, version 1

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José Luis Avila Alonso, Catherine Bonnet, Hitay Ozbay, Jean Clairambault, Silviu-Iulian Niculescu. A coupled model for healthy and cancer cells dynamics in Acute Myeloid Leukemia. The 19th World Congress of the International Federation of Automatic Control, Aug 2014, Groningen, South Africa. 2014. 〈hal-00940245〉

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