Anand Pillay: Structural identifiability, differential algebra, and model theory.

W imieniu Dziekana Wydziału serdecznie zapraszamy pracowników oraz studentów
na seminarium wydziałowe, które odbędzie się we wtorek 3 października o
godz. 12.30 (Instytut Informatyki, sala 119).

Prelegentem będzie prof. Anand Pillay, z University of Notre Dame, który
wygłosi wykład pt. Structural identifiability, differential algebra, and model theory.

Przed wykładem, o godz. 12:00 Dziekan zaprasza na kawę i ciastka.

Streszczenie:

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.