Analysis of a mathematical model of the interaction between PIP3, AKT, and FOXO3a in Acute Myeloid Leukemia

The model of interaction between PIP3, AKT, and FOXO3a in the PI3K/AKT signaling pathways in Acute Myeloid Leukemia (AML) is described and analyzed in this paper. We assume that the biochemical reaction in this pathway follows Hill's equation and consider the case that the mechanism of protein dephosphorylation does not work properly. Then, we analyze the model using the stability theory of differential equations to determine the parameters that play an important role in AML disease. Firstly, we discuss the existence of steady states and their stability. Furthermore, numerical simulations are given to support the analytical results of the model. Sensitivity index is also analyzed to identify parameters which have a significant influence on AML disease and should be targeted by intervention strategies. Our results show how targeted therapy can be performed on the PI3K/AKT pathway for the treatment of AML. © 2020 Elsevier B.V., All rights reserved.