A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays
Author
Avila, J. L.
Bonnet, C.
Clairambault, J.
Özbay, Hitay
Niculescu, S. I.
Merhi, F.
Tang, R.
Marie, J. P.
Date
2012Source Title
International Federation of Automatic Control
IFAC Proceedings Volumes
Print ISSN
1474-6670
Volume
10
Issue
14
Pages
55 - 60
Language
English
Type
Conference PaperItem Usage Stats
128
views
views
103
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downloads
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.
Keywords
DelayMedical 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
Permalink
http://hdl.handle.net/11693/28164Published Version (Please cite this version)
https://doi.org/10.3182/20120622-3-US-4021.00047Collections
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