Seminar Event Detail

Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, April 13, 2018
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Macroscopic models for coupled biological oscillators

Abstract:   We consider large systems of coupled limit cycle oscillators and develop a new approach for the systematic extraction of low-dimensional "macroscopic models" describing the dynamics of these systems. We identify an elegant structure in the phase distribution of experimental and simulated coupled biological oscillators. Further, we characterize the emergence of this structure using a simple argument based only on the general phase-locking behavior of coupled oscillators. We demonstrate how this structure may be applied as an ansatz to derive low-dimensional macroscopic models and apply it to derive a low-dimensional model for human circadian rhythms. Finally, we fit the human model to experimental data and compare the predictions to a predominant phenomenological model for human circadian rhythms.


Speaker:  Kevin Hannay
Institution:  Schreiner University

Event Organizer:   AIM seminar organizers   


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