I mathematically model immune memory regulation and memory repertoire
shifts resulting from memory T-cell attrition. More specifically,
I mathematically examine how the memory CD8+ T-cell
repertoire changes due to infections. Following normal
infections, the creation of new memory T-cells results in
increased competition for survival signals, which in turn may lead to
passive attrition of existing memory. Furthermore, some
viral infections cause massive bystander attrition of memory CD8+
T-cells early in infection; this attrition is then followed by
homeostatic proliferation of surviving memory cells, along with some
naive cells, to refill the memory compartment. My work
looks at how these attrition and proliferation events alter the
composition of lineages within the memory CD8+ T-cell repertoire
and hence affect the
ability of the memory compartment to respond to particular infections
should they reoccur. I utilize a variety of applied mathematical
techniques, ranging from deterministic methods to probabilistic and
stochastic approaches, as required by the particular biological
problems.