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

Adi, Yudi and Aryati, Lina and Adi-Kusumo, Fajar and Hardianti, Mardiah (2019) BACKWARD BIFURCATION IN A MATHEMATICAL MODEL OF PI3K/AKT PATHWAYS IN ACUTE MYELOID LEUKEMIA. [Artikel Dosen]

Text 2019-BACKWARD BIFURCATION IN A MATHEMATICAL MODEL OF PI3K AKT PATHWAYS IN ACUTE MTELOID LEUKEMIA.pdf Download (767kB)

Abstract

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.

Item Type:	Artikel Dosen
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Divisi / Prodi:	Faculty of Applied Science and Technology (Fakultas Sains Dan Teknologi Terapan)
Depositing User:	Dr. Yudi Ari Adi
Date Deposited:	15 Apr 2021 02:50
Last Modified:	15 Apr 2021 02:50
URI:	http://eprints.uad.ac.id/id/eprint/17250

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