Immune response occurs when a pathogen enters the organism and launches an infection. Herewe focused on a specific cell population which takes part in the response : the CD8 T lymphocytes.We first developed an nonlinear age-structured model which accounts for the dynamics of theimmune response at a cell scale. We studied mathematically the existence and stability of steadystates. Hence, we got some properties which highlighted, under certain conditions, some long termdynamics corresponding to biologically expected situation.We then led a systematic estimation of parameter values in the model, in order to find a setof values for each parameter which enabled us to correctly reproduce experimental data. Thanksto this work, we got information of the influence of each parameter in the model and informationof their variations depending on the nature of the pathogen.Eventually, we considered dynamics of the immune response at a molecular scale. We createda network of signal key events, starting from cell activation due to an antigen encounter, to cellcycle entry or apoptosis of the cell. We thus elaborated a sub-model focused on the choice betweensurvival or apoptosis, that we mathematically and numerically studied. Thanks to this model, westudied concentration dynamics of the proteins involved in intracellular signaling in CD8 T cellresponse.
