[Mathematical modeling of cyclic kinetics of hematopoiesis]

Mathematical models of the time course of formation of platelets, erythrocytes, granulocytes and lymph cells of mammals have been developed. They are systems of nonlinear differential equations where concentrations of mature blood cells and their bone marrow precursors are the variables. The models represent the main stages in the development of the various types of blood cells and allow for specific formation of red and white blood cells. Verification with the aid of oscilation theory methods and computer-aided numerical calculations have shown that the models reproduce all dynamic variations of the hemopoietic system, including stable fluctuations of concentrations of the various types of blood cells and their precursors (limiting cycles). Calculated parameters of stable fluctuations are in good agreement with experimental data. Within the framework of the models the origination of limiting cycles is described and their interpretation is given. These models can be used to simulate monthly biologic rhythms inherent in the various types of hemopoiesis as well as to analyze flight biomedical data and to discriminate space flight effects on hemopoiesis.