Now showing items 1-3 of 3

    • Local asymptotic stability conditions for the positive equilibrium of a system modeling cell dynamics in leukemia 

      Özbay, Hitay; Bonnet, C.; Benjelloun H.; Clairambault J. (Springer, Berlin, Heidelberg, 2012)
      A distributed delay system with static nonlinearity has been considered in the literature to study the cell dynamics in leukemia. In this chapter local asymptotic stability conditions are derived for the positive equilibrium ...
    • 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 ...