Mathematical model of leukemia

We developed a mathematical model of leukemia on the basis of modern data on hematopoiesis in mammals. Three types of cells are considered in the model, one of which is leukemia. Interaction of cells is studied as a competition for the functional space of dividing cells. Leukemia cells are cells dividing at a higher rate than all the others. The model of replacement of leukemic cells with donor cells is considered as the introduction of more active cells than leukemia ones. The model is represented by the Cauchy problem for a system of ordinary differential equations. Violation of hematopoiesis functions is correlated with a change in the leading parameter, which transfers the system from a stable steady state to an unstable one.