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Global Stability Analysis of Healthy Situation for a Coupled Model of Healthy and Cancerous Cells Dynamics in Acute Myeloid Leukemia

Zenati, A., Chakir, M. and Tadjine, M. (2017). Global Stability Analysis of Healthy Situation for a Coupled Model of Healthy and Cancerous Cells Dynamics in Acute Myeloid Leukemia. IFAC papers online, 50(1), pp. 15103-15108. doi: 10.1016/j.ifacol.2017.08.2240

Abstract

In this paper we aim to study the global stability of a coupled model of healthy and cancerous cells dynamics in healthy situation of Acute Myeloid Leukemia. We also clarify the effect of interconnection between healthy and cancerous cells dynamics on the global stability The interconnected model is obtained by transforming the PDE-based model into a nonlinear distributed delay system. Using Lyapunov approach, we derive necessary and sufficient conditions for global stability for a selected equilibrium point of particular interest (healthy situation). Simulations are conducted to illustrate the obtained results.

Publication Type: Article
Publisher Keywords: Leukemia; Distributed Delay; Modelling; Global stability; PDE
Subjects: R Medicine > RC Internal medicine
R Medicine > RC Internal medicine > RC0254 Neoplasms. Tumors. Oncology (including Cancer)
Departments: School of Mathematics, Computer Science & Engineering > Engineering > Electrical & Electronic Engineering
Date Deposited: 16 Jan 2020 17:38
URI: https://openaccess.city.ac.uk/id/eprint/23415
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