Scientific Journal of KubSAU

The article contains results of information research of acute myeloid leukemia (AML) as complicated multiple systems. The purpose of the research is creation an information presentation of AML and algorithms for determining the temporal characteristics of the disease. For describing the development of the disease we used the system of equations describing the growth of cells in populations of acute leukemia and considering decrease of protective forces of organism. A distinctive feature of this presentation is a more detailed description of the disease. For describing the processes of the division we used logistic equation. From the moment of an initiation of treatment the new parameters have been added into the system of equations, they are in charge of action of the applied preparations and responsive mutations the leukemic cells. On the basis of the submission of the information, we presented algorithms for calculating the temporal characteristics of the disease, namely, the development time of an irreversible condition in which the body is not able to destroy the leukemic clone of yourself, and the duration of remission. Also, as a result of the research we have made an evaluation of opportunities of the obtained algorithms. The article showed the wide range of possible solutions of the algorithm of determination the duration of remission

The results of the research of stability of the model of neutrophilomonocytegenesis are shown in the article. With the criterion of Routh-Hurwitz it's calculated that the system of the differential equations of cells growing is asymptotically steady. Threshold values of parameters of model at which the system becomes unstable are defined