Abstract:  "How much?", "How often?", "Where?" The answers to these three
questions are crucial in the design of cancer vaccines: treatments designed
to trigger an improved immune response to an existing tumor.   Mathematical
models that describe tumor growth in tissue, the immune response, and the
administration of different therapies can suggest treatment strategies that
optimize treatment efficacy and minimize negative side-effects.  However,
the inherent complexity of the immune system and the spatial heterogeneity
of human tissue give rise to mathematical models that pose unique
challenges for the mathematician.  In this talk I will describe some of
these mathematical challenges as well as our approaches to overcoming them.

This talk is intended for a general audience: no knowledge of biology will
be assumed.