A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays

Jose Luis Avila Alonso 1, 2 Catherine Bonnet 1, 2 Jean Clairambault 3, 4 Hitay Ozbay 5 Silviu-Iulian Niculescu 1, 2 Faten Merhi 6 Ruoping Tang 6 Jean-Pierre Marie 6
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 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
4 BANG - Nonlinear Analysis for Biology and Geophysical flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
Abstract : In this paper we propose a refined model for the dynamical cell behavior in Acute Myeloid Leukemia (AML) compared to (Ozbay et al, 2012) and (Adimy et al, 2008). We separate the cell growth phase into a sequence of several sub-compartments. Then, with the help of the method of characteristics, we show that the overall dynamical system of equations can be reduced to two coupled nonlinear equations with four internal sub-systems involving distributed delays.
Type de document :
Communication dans un congrès
Sipahi, Rifat. 10th IFAC Workshop on Time Delay Systems, Jun 2012, Boston, United States. IFAC, pp.55-60, 2012, 〈10.3182/20120622-3-US-4021.00047〉
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https://hal.inria.fr/hal-00766709
Contributeur : Catherine Bonnet <>
Soumis le : mardi 18 décembre 2012 - 16:54:35
Dernière modification le : vendredi 25 mai 2018 - 12:02:02

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Jose Luis Avila Alonso, Catherine Bonnet, Jean Clairambault, Hitay Ozbay, Silviu-Iulian Niculescu, et al.. A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays. Sipahi, Rifat. 10th IFAC Workshop on Time Delay Systems, Jun 2012, Boston, United States. IFAC, pp.55-60, 2012, 〈10.3182/20120622-3-US-4021.00047〉. 〈hal-00766709〉

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