A coupled model for healthy and cancerous cells dynamics in Acute Myeloid Leukemia

Avila, J. L.Bonnet, C.Özbay, HitayClairambault, J.Niculescu, S. I.Hirsch, P.Delhommeau, F.2016-02-082016-02-0820141474-6670http://hdl.handle.net/11693/27230Date of Conference: 24-29 August 2014Conference Name: 19th World Congress of the International Federation of Automatic Control, IFAC 2014In this paper we propose a coupled model for healthy and cancerous cell dynamics in Acute Myeloid Leukemia. The PDE-based model is transformed to a nonlinear distributed delay system. For an equilibrium point of interest, necessary and sufficient conditions of local asymptotic stability are given. Simulation examples are given to illustrate the results.EnglishDelayMedical applicationsModellingNonlinear modelsPDEA coupled model for healthy and cancerous cells dynamics in Acute Myeloid LeukemiaConference Paper10.3182/20140824-6-ZA-1003.02574