On a Mathematical Model of Adaptive Immune Response to Viral Infection
In this paper we study a mathematical model formulated within the framework of the kinetic theory for active particles. The model is a bilinear system of integro-differential equations (IDE) 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. Conditions for existence and uniqueness of the solution are studied. Numerical simulations of the model are presented and discussed.
Keywordsnumerical simulations integro-differential equations nonlinear dynamics kinetic model
Unable to display preview. Download preview PDF.
- 1.Abbas, A., Lichtman, A.: Basic Immunology: Functions and Disorders of the Immune System. Elsevier, Philadelphia (2009)Google Scholar