BACKWARD BIFURCATION IN A MATHEMATICAL MODEL OF PI3K/AKT PATHWAYS IN ACUTE MYELOID LEUKEMIA

This paper investigates a mathematical model of the PI3K/AKT pathway in acute myeloid leukemia (AML) in the absence of protein dephosphorylation and AKT degradation. We perform a bifurcation analysis by using the bifurcation method, which is based on the use ofthe center manifold theory. We give an explicit condition for the existence of backward and forward bifurcations. Numerical simulations are presented to support analytical results and then discussed from both the mathematical and the medical perspectives.