Macroscopic models for networks of coupled biological oscillators.

ABSTRACT: The study of synchronization of coupled biological oscillators is fundamental to many areas of biology including neuroscience, cardiac dynamics, and circadian rhythms. Mathematical models of these systems may involve hundreds of variables in thousands of individual cells resulting in an extremely high-dimensional description of the system. This often contrasts with the low-dimensional dynamics exhibited on the collective or macroscopic scale for these systems. We introduce a macroscopic reduction for networks of coupled oscillators motivated by an elegant structure we find in experimental measurements of circadian protein expression and several mathematical models for coupled biological oscillators. The observed structure in the collective amplitude of the oscillator population differs fro

SUBMITTER: Hannay KM 

PROVIDER: S-EPMC6070363 | biostudies-literature | 2018 Aug

REPOSITORIES: biostudies-literature