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Graduate Student Seminar I Stephanie Abo, Reduction of High-Dimension Models of Circadian Clocks to a Two-Dimension Manifold RepresentationExport this event to calendar

Friday, May 22, 2020 — 3:00 PM EDT

MS Teams 
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Speaker

Stephanie Abo | Applied Math, University of Waterloo

Title

Reduction of High-Dimension Models of Circadian Clocks to a Two-Dimension Manifold Representation 

Abstract

In this talk, I will present a model reduction technique applicable to oscillatory dynamical systems. The method is based on the projection of high-dimensional models onto their respective manifold using proper orthogonal functions (POF) obtained from the decomposition of the phase space of the model to obtain a 2-dimension model. The reduced model predicts most of the salient features of the original model. I will focus on the specific case of biological clocks characterized by oscillations of ~24 h. The manifold representation simplifies the mathematical analysis, since only 2 variables need to be observed and analyzed to understand the behavior of the biological clock.

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