In this paper we propose a mathematical model to describe the evolution of leukemia
in the bone marrow. The model is based on a reaction-diffusion system of equations in a porous
medium. We show the existence of two stationary solutions, one of them corresponds to the normal
case and another one to the pathological case. The leukemic state appears as a result of a bifurcation
when the normal state loses its stability. The critical conditions of leukemia development
are determined by the proliferation rate of leukemic cells and by their capacity to diffuse. The
analytical results are confirmed and illustrated by numerical simulations
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