McMaster University, December 5 - 8, 2014
In this talk, I will quickly review some ecological considerations that must be made when developing spatial within-host models for HPV. I will then showcase a spatial model, outlining the important mechanisms of the model. I will wrap up by discussing some analytical results of the model.
A more complicated example is the class consisting of ultraproducts of o-minimal structures (definitions of these terms will be given during the presentation). Multiple proposals were made for possible axiomatizations of this class, but Alex Rennet showed in a recent paper that in any proper expansion of the ordered ring language, this class is not axiomatizable. I will present a generalized version of Rennet's theorem, along with examples of classes that the theorem can be applied to.