Now showing items 1-5 of 5

    • Analysis of blood cell production under growth factors switching 

      Djema, W.; Özbay, Hitay; Bonnet, C.; Fridman, E.; Mazenc, F.; Clairambault, J. (Elsevier B.V., 2017)
      Hematopoiesis is a highly complicated biological phenomenon. Improving its mathematical modeling and analysis are essential steps towards consolidating the common knowledge about mechanisms behind blood cells production. ...
    • A coupled model for healthy and cancerous cells dynamics in Acute Myeloid Leukemia 

      Avila, J. L.; Bonnet, C.; Özbay, Hitay; Clairambault, J.; Niculescu, S. I.; Hirsch, P.; Delhommeau, F. (IFAC, 2014)
      In 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, ...
    • A new model of cell dynamics in Acute Myeloid Leukemia involving distributed delays 

      Avila, J. L.; Bonnet, C.; Clairambault, J.; Özbay, Hitay; Niculescu, S. I.; Merhi, F.; Tang, R.; Marie, J. P. (2012)
      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 ...
    • Stability analysis of cell dynamics in leukemia 

      Özbay, Hitay; Bonnet, C.; Benjelloun, H.; Clairambault, J. (E D P Sciences, 2012)
      In order to better understand the dynamics of acute leukemia, and in particular to find theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we investigate stability of a system modeling ...
    • Stability analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics 

      Özbay, Hitay; Bonnet, C.; Clairambault, J. (IEEE, 2008-12)
      We consider linear systems with distributed delays where delay kernels are assumed to be finite duration impulse responses of finite dimensional systems. We show that stability analysis for this class of systems can be ...