Anand Pillay
University of Notre Dame
3:45 PM
127 Hayes-Healy Center
A tea will precede the event at 3:15 pm in 101A Crowley Hall.
Structural identifiability, differential algebra, and model theory
This is a kind of application of model theory (in mathematical logic) to problems around theoretical mathematical biology and related areas. Via "compartmental models", there exist standard ODE systems which model many real processes. These systems involve some real or complex parameters which one would like to determine from the observed input and output data. I will discuss various obstructions as well as positive solutions to this program. And also, if time permits, I will discuss the issue of reparametrization, where a system is replaced by an equivalent one in which the parameters are suitably identified. I will focus on the qualitative rather than algorithmic aspects of the results.
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