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Marchuk's model of a general immune reaction is presented in the paper. The results of investigation of the model are summarized. The qualitative behaviour of solutions to the model and its simplification is described. Many illustrations of recovery process, oscillations or lethal outcomes of a disease are shown. The model with time-dependent immune reactivity is also considered. Periodic dynamics caused by different reasons are compared. In the last section adaptation of the model to tumour-immune interactions is proposed. The role of interleukins in immune processes is taken into account to adapt Marchuk's model to tumour growth dynamics. Possible immunotherapy is also considered in the proposed model. Some preliminary analysis of the model is presented. [ABSTRACT FROM AUTHOR]

A kinetic model is put forward for the study of the antigen-antibody reactions involved in the coated tube radioimmunoassay (RIA) of androstendione. Twenty experiments were conducted to determine the influence of initial concentrations, ionic strength, viscosity, and temperature on the substitution reaction of 125I-androstendione (M) by unlabelled androstendione (Q) in the immunocomplex PM (P = anti-androstendione antibody). The results obtained are in line with the proposed model. The concentration of radioactive immunocomplex is directly proportional to the initial concentration of labelled androstendione and independent of the concentration of unlabelled androstendione, ionic strength, and viscosity. The reaction is not diffusion-controlled. [ABSTRACT FROM AUTHOR]