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.

Index Terms—Leukemia, reaction-diffusion equations, monotone system.

Mohammed Benmir, Soumaya Boujena are with MACS, Faculty of Sciences, University of Hassan II, 20100 Casablanca, Morocco (email: med.benmir@gmail.com).
Vitaly Volpert is with ICJ, UMR 5208 CNRS, University of Lyon 1, 69622 Villeurbanne, France.

Cite: Mohammed Benmir, Soumaya Boujena, Vitaly Volpert, "A Reaction-Diffusion System for Leukemia Disease," International Journal of Applied Physics and Mathematics vol. 7, no. 2, pp. 87-92, 2017.