CD8 T-cells play a key role during the immune response. Upon 
encountering a given pathogen for the first time, presented by an 
antigen presenting cell (APC), these cells proliferate and differentiate 
to respond to the infection. During the process, a part of them 
differentiate in memory cells which stay quiescent in the human body, 
ready to trigger a specific and faster immune response upon encountering 
the same pathogen later.
This is how vaccines work : a small and harmless dose of pathogen is 
injected to trigger a first immune response and build the immunological 
repertoire. This way, when an infection with this pathogen occurs, the 
body is ready to respond faster than the first time.

Our work aims at using a two variable maturity structured equation to 
model these processes at two different, though interconnected, physical 
scales : the intracellular scale and the population scale. The model 
will later be confronted to our experimental data, then used to assess 
which vaccine strategy leads to the greatest number of memory cells, 
thus leading to better secondary immune responses.
