Section: New Results

Modelling of cell dynamics in Acute Myeloid Leukemia

Participants : Catherine Bonnet, Jean Clairambault [BANG project-team] , François Delhommeau [INSERM Paris (Team18 of UMR 872) Cordeliers Research Centre and St. Antoine Hospital, Paris] , Walid Djema, Emilia Fridman [Tel-Aviv University] , Pierre Hirsch [INSERM Paris (Team18 of UMR 872) Cordeliers Research Centre and St. Antoine Hospital, Paris] , Frédéric Mazenc.

Modelling of Acute Myeloid Leukemia strated a few years ago. Starting from a PDE model of hematopoiesis given in [77] , we have derived several models of healthy or cancer cell dynamics in hematopoiesis which according to some conditions admit one or two equilibrium points. Often taking profit of the positivity of the system we have derived this year several sufficient (or necessary and sufficient) conditions which ensure stability properties ranging from local symptotic stability to global exponential stability and obtained, when appropriate, an estimation of a subset of the bassin of attraction [14] , [40] .