Special Session 2: PDEs and Applications

Fit of an ODE system with CD4+ T cells to LCMV infection laboratory data

Bruno M Oliveira
FCNA-Universidade do Porto and LIAAD-INESC TEC (NIF:504441361)
Portugal
Co-Author(s):    Bruno M. P. M. Oliveira, Filipe Martins, Atefeh Afsar, A. A. Pinto
Abstract:
We fit an ODE model of immune response by CD4$^+$ T cells to a time series of laboratory data from mice infected with lymphocytic choriomeningitis virus (LCMV). We considered two clonotypes of CD4$^+$ T cells, responding either to gp61 or NP309 LCMV epitopes. The model also includes the presence of regulatory CD4$^+$ T cells (Tregs) and interleukine-2 (IL-2) density. The non-linearity of this model allows the fit both to the immune activation phase triggered by the LCMV infection and to the subsequent relaxation phase, with a smooth transition from faster to slower death rates.