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      • Department of Electrical and Electronics Engineering
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      A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays

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      Author
      Avila, J. L.
      Bonnet, C.
      Clairambault, J.
      Özbay, Hitay
      Niculescu, S. I.
      Merhi, F.
      Tang, R.
      Marie, J. P.
      Date
      2012
      Source Title
      International Federation of Automatic Control IFAC Proceedings Volumes
      Print ISSN
      1474-6670
      Volume
      10
      Issue
      14
      Pages
      55 - 60
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
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      103
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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.
      Keywords
      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
      Permalink
      http://hdl.handle.net/11693/28164
      Published Version (Please cite this version)
      https://doi.org/10.3182/20120622-3-US-4021.00047
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      • Department of Electrical and Electronics Engineering 3524
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