[Study of cyclic kinetics of immunity by mathematical modeling methods].

The mathematical model of the dynamics of humoral immune responses to soluble antigens has been developed. This is a system of nonlinear differential equations describing concentrations of immunocompetent B-lymphocytes, plasma cells, antibodies and antigen. The model reproduces cyclic kinetics of the immune reaction to slowly catabolizing antigens which is observed experimentally. Within the framework of the model a description of the mechanism of origin of oscillatory modes of the dynamics of the immune response is presented. It has been shown that the feedback in the control of the antibody synthesis by antibodies is due to neutralization of the main stimulus of the immune system, i.e., free molecules of the antigen--by circulating antibodies.