A new application of the kinetic type theory in immunology

Abstract The kinetic type theory for active particles is a methodology actively used for modeling processes and phenomena in biology and life sciences. One of the fields of its application is immunology, in particular the processes observed in the competition between immune system and foreign antigens. In this paper we present a new mathematical model describing such a complex system and possible occurrence of contemporary diseases. Preliminary qualitative analysis of the model is presented. The role of some of the main model parameters is studied using simulations.