Mostly Biomathematics Lunchtime Seminar

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Global Identifiability of Differential Models

Speaker: Gleb Pogudin, Courant Institute of Mathematical Sciences, New York University

Location: Warren Weaver Hall 1314

Date: Tuesday, October 23, 2018, 12:30 p.m.

Synopsis:

Many real-world processes and phenomena are modeled using systems of parametric ordinary differential equations. One might be interested in knowing the values of some select parameters due to their importance. Usually one tries to determine (uniquely identify) them by collecting input and output data. However, due to the structure of the model, it can be impossible to determine the parameters from input and output data.  When this happens, the parameters are said to be "not globally identifiable". In the process of model design, it is crucial to know whether the parameters of interest in a potential model are globally identifiable.

In this talk, I will present our new theoretical results on this problem, efficient and reliable algorithms based on these results that can tackle problems that could not be tackled before, and software implementing the algorithms. This is a joint work with H. Hong, A. Ovchinnikov, and C. Yap.