Coupling and noise in the circadian clock synchronization
- Published
- Accepted
- Subject Areas
- Computational Biology, Mathematical Biology
- Keywords
- Circadian rhythms, coupled nonlinear oscillators, oscillator synchrony, Hopf bifurcation
- Copyright
- © 2018 Herrera-Valdez et al.
- Licence
- This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ Preprints) and either DOI or URL of the article must be cited.
- Cite this article
- 2018. Coupling and noise in the circadian clock synchronization. PeerJ Preprints 6:e26447v1 https://doi.org/10.7287/peerj.preprints.26447v1
Abstract
The general purpose of this paper is to build up on our understanding of the basic mathematical principles that underlie the emergence of biological rhythms, in particular, the circadian clock. To do so, we study the role that the coupling strength and noise play in the synchronization of a system of nonlinear, linearly coupled oscillators. First, we study a deterministic version of the model to find plausible regions in the parameter space for which synchronization is observed. Second, we focus on studying how noise and coupling interact in determining the synchronized behavior. To do so, we leverage the Fokker-Planck equation associated with the system. The basic mechanisms behind the generation of oscillations and the emergence of synchrony that we describe here can be used as a guide to further study coupled oscillations in biophysical nonlinear models.
Author Comment
This is an author's copy that will be submitted to InTechOpen for review and publication.