Adaptive immunity and CTL differentiation - a kinetic modeling approach

  • Mikhail Kolev
  • Adam Korpusik
  • Ana Markovska


In this paper we present a mathematical model formulated within the framework of the kinetic theory for active particles. The model is a bilinear system of integro-differential equations of Boltzmann type and it describes the interactions between virus population and the adaptive immune system. The population of cytotoxic T lymphocytes is additionally divided into precursor and effector cells. The effects of the parameters describing the proliferation and differentiation of cytotoxic T lymphocytes are studied numerically.