Abstract:
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.
Fulltext:
PDF file (674 kB)