Global Stability Analysis of Healthy Situation for a Coupled Model of Healthy and Cancerous Cells Dynamics in Acute Myeloid Leukemia
Zenati, A., Chakir, M. & 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 Science & Technology > Engineering |
| SWORD Depositor: |
Available under License Creative Commons Attribution Non-commercial No Derivatives.
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