Section: New Results

Modeling and control of Acute Myeloid Leukemia

Participants : José Luis Avila Alonso, Annabelle Ballesta [BANG project-team] , Frédéric Bonnans [COMMANDS project-team] , Catherine Bonnet, Jean Clairambault [BANG project-team] , Xavier Dupuis [COMMANDS project-team] , Pierre Hirsch [INSERM Paris (Team18 of UMR 872) Cordeliers Research Centre and St. Antoine Hospital, Paris] , Jean-Pierre Marie [INSERM Paris (Team18 of UMR 872) Cordeliers Research Centre and St. Antoine Hospital, Paris] , Faten Merhi [INSERM Paris (Team18 of UMR 872) Cordeliers Research Centre and St. Antoine Hospital, Paris] , Silviu Niculescu, Hitay Özbay [Bilkent University, Ankara, Turkey] , Ruoping Tang [INSERM Paris (Team18 of UMR 872) Cordeliers Research Centre and St. Antoine Hospital, Paris] .

In order to better take into account physiological phenomena as well as better understand the effect of the new anti-FLT3 therapy for AML, we have modified the model M. Adimy and F. Crauste in two ways [88] :

- we have introduced a modeling of quick self-renewal of cells in each stage of maturation.

- we have modeled each phase of the proliferating compartment (that is $G_1$, $S$, $G_2$ and $M$) separately. For the time being, only the $M$-phase is supposed to have a fixed time duration as it is well-known that the short time necessary to perform mitosis is hardly submitted to any variation.

In parallel to this modeling task, Faten Merhi and Annabelle Ballesta have performed experiments in order to identify parameters of the model. These experiments (which will continue in 2012) tend to show that we will converge to a patient-dependant model.