A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays
Date
2012
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Abstract
In this paper we propose a refined model for the dynamical cell behavior in Acute Myeloid Leukemia (AML) compared to (Özbay 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. © 2012 IFAC.
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International Federation of Automatic Control
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Delay, Medical applications, Modelling, PDE, Zmodels, Acute myeloid leukemia, Cell behaviors, Cell dynamics, Coupled nonlinear equations, Delay, Distributed delays, Growth phase, Method of characteristics, PDE, Refined model, Sub-systems, System of equations, Zmodels, Dynamical systems, Medical applications, Models, Time delay, Diseases
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English