doi: 10.17706/ijapm.2017.7.2.87-92
A Reaction-Diffusion System for Leukemia Disease
Mohammed Benmir
1
,
,
- 1 MACS, Faculty of Sciences, University of Hassan II, 20100 Casablanca, Morocco
- 2 ICJ, UMR 5208 CNRS, University of Lyon 1, 69622 Villeurbanne, France.
Abstract
In this work, we propose a mathematical model based on reaction-diffusion equations to describe the development of normal and leukemic hematopoiesis. Specifically, we introduce a parameter that characterizes the strength of mutation. According to its value, leukemia will or will not develop. On the other hand, we show the existence of a traveling wave providing a transition from an equilibrium to other.
Keywords
- Leukemia
- reaction-diffusion equations
- monotone system
How to Cite
Mohammed Benmir, Soumaya Boujena, and Vitaly Volpert, "A Reaction-Diffusion System for Leukemia Disease," International Journal of Applied Physics and Mathematics, vol. 7, no. 2, pp. 87-92, 2017. https://doi.org/ 10.17706/ijapm.2017.7.2.87-92
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).