Macroscopic models for networks of coupled biological oscillators

@article{Hannay2018MacroscopicMF,
  title={Macroscopic models for networks of coupled biological oscillators},
  author={Kevin M. Hannay and Daniel B. Forger and Victoria Booth},
  journal={Science Advances},
  year={2018},
  volume={4}
}
We describe a low-dimensional relation and demonstrate its use in reducing model complexity for coupled oscillator systems. 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… 
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