Development of a numerical method for 3D-simulations of the competition between T cells in lymph nodes

Understanding the molecular mechanism of the immune response is the subject of intense research in medicine and biology. In the lymph node responding T cells are activated by T helper cells to trigger an immune response, while regulatory T cells suppress the activation. One way of activation is the diffusion of Interleukin-2 in the intercellular space. Using a recently proposed mathematical model, we develop a numerical method for 3D simulations of the competition between T cells for Interleukin-2. The model consists of a reaction-diffusion-equation coupled with ordinary differential equations. The aim is to solve the coupled nonlinear system in three dimensions with a multilevel approach. Computational effort will be reduced by applying methods of homogenization.