Published in
International Federation of Automatic Control (IFAC), IFAC papers online, 3(47), p. 7529-7534, 2014
DOI: 10.3182/20140824-6-za-1003.02574
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A coupled model for healthy and cancerous cells dynamics in Acute Myeloid Leukemia
Journal article published in 2014 by
J. L. Avila,
C. Bonnet,
H. Özbay,
J. Clairambault,
S. I. Niculescu 
,
P. Hirsch,
F. Delhommeau
,
P. Hirsch,
F. Delhommeau
This paper is made freely available by the publisher.
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Abstract
In this paper we propose a coupled model for healthy and cancer cell dynamics in Acute Myeloid Leukemia. This nonlinear model is reduced to a nonlinear distributed delay system. For an equilibrium point of interest, necessary and sufficient conditions of local asymptotic stability are given. Simulations illustrate the results.