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 modeled 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
The 10th AIMS Conference on Dynamical Systems,Differential Equations and Applications, Jul 2014, Madrid, Spain
https://hal.inria.fr/hal-01110309
Contributeur : Catherine Bonnet
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Soumis le : mardi 27 janvier 2015 - 19:22:40
Dernière modification le : mardi 17 avril 2018 - 11:32:23
Catherine Bonnet, Jose Luis Avila Alonso, Hitay Ozbay, Jean Clairambault, Silviu-Iulian Niculescu, et al.. A Discrete-Maturity Interconnected Model of Healthy and Cancer Cell Dynamics in Acute Myeloid Leukemia. The 10th AIMS Conference on Dynamical Systems,Differential Equations and Applications, Jul 2014, Madrid, Spain. 〈hal-01110309〉
