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 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. 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.
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Conference papers
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https://hal.inria.fr/hal-00940245
Contributor : José Luis Emanuelle Avila Alonso <>
Submitted on : Friday, January 31, 2014 - 4:10:42 PM
Last modification on : Tuesday, June 25, 2019 - 1:26:53 AM

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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. 19th IFAC World Congress on International Federation of Automatic Control (IFAC 2014), Aug 2014, Groningen, South Africa. ⟨10.3182/20140824-6-za-1003.02574 ⟩. ⟨hal-00940245⟩

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