Avila, J. L.Bonnet, C.Clairambault, J.Özbay, HitayNiculescu, S. I.Merhi, F.Tang, R.Marie, J. P.2016-02-082016-02-0820121474-6670http://hdl.handle.net/11693/28164Conference name: Proceedings of the 10-th IFAC Workshop on Time Delay Systems The International Federation of Automatic ControlDate of Conference: 22-24 June 2012In 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.EnglishDelayMedical applicationsModellingPDEZmodelsAcute myeloid leukemiaCell behaviorsCell dynamicsCoupled nonlinear equationsDelayDistributed delaysGrowth phaseMethod of characteristicsPDERefined modelSub-systemsSystem of equationsZmodelsDynamical systemsMedical applicationsModelsTime delayDiseasesConference Paper10.3182/20120622-3-US-4021.00047