On a Model of Leukemia Development with a Spatial Cell Distribution
A. Ducrot, V. Volpert (2010)
Mathematical Modelling of Natural Phenomena
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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...