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The paper depicts the methods of statistic processing of the data and mathematical simulation for the analysis of interactions in the system of antigen-antibody. The conditions of various models application are defined. The results of experimental binding curves procession enable obtaining the evidence of affinity-related distribution of serum antibodies which is believed to be an important characteristic feature of their functional activity and to make a quantitative description of maturation of specific immune response.

The authors presented the results of population study of specific IgG-antibody-forming cells (AFC) in the pool of mice splenocytes performed in the time-course of simulated influenza with the help of experimental mathematical approach which permitted making a detailed observation of the functional structure of the population and analysing the changes in the spectrum of the AFC subpopulations in the time-course of viral disease. Mathematical simulation of the main stage of immunopointed identification of AFC on +nitrocellulose filters (NCF) permitted the verification of the ratio between the characteristic features of the spots on the NCF and the number and affinity of cell-secreting IgG antibodies. New data are obtained on the formation of the population of +virus-specific IgG-AFC which are featured by discreteness of the AFC +affinity ++ spectrum, cyclic changes in their activity and shifts in the stages of the AFC subpopulation activity. The authors substantiated the necessity to revise the existing theoretical models of the formation of humoral immune response to viral infections.

Humoral immunity in murine experimental influenza was specified using experimental mathematical modelling intended for further systemic analysis of dynamics of immunological processes. The methodology of the proposed approach was based on the choice of affinity as an indicator of the function of specific antibodies, and on the concept of discrete functional structure of the immune system. The data were obtained by calculating affinity and antibody heterogeneity indices and by evaluating the distribution of functions by affinity. The successions of active antibody subpopulations with affinities varying in the course of infection and the presence in the plasma of protein fractions capable of low-affinity binding with influenza virus in non-infected animals were demonstrated. The relationship between the detected plasma protein populations and corresponding antibody-producing cells was confirmed. The mathematical modelling results were verified by physicochemical and immunochemical methods. The mechanisms by which the observed phenomena may be realized were considered from the viewpoint of the current theory of immunity.