Faculty seminar
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Tuesday, September 26, 2023
On Tuesday 3rd of october at 12:30 there will be faculty seminar.
Prof. Anand Pillay, from University of Notre Dame, will deliver a lecture Structural identifiability, differential algebra, and model theory.
Before the lecture at 12:00 you are welcome to coffee and cakes before lecture at hall 119 at the Institute of Computer Science.
Abstract: 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.
Abstract: 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.
