Coupling and noise in the circadian clock synchronization

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1 Facultad de Ciencias, Departamento de Matematicas, Universidad Nacional Autónoma de México, Mexico, CDMX, Mexico
2 Instituto de Investigación en Matemáticas Aplicadas y Sistemas, Universidad Nacional Autónoma de México, Mexico, CDMX, Mexico
3 Facutad de Ciencias, Departamento de Mathematics, Universidad Nacional Autónoma de México, Mexico, CDMX, Mexico
4 Facultad de Ciencias, Departamento de Matemáticas, Universidad Nacional Autónoma de México, Mexico, CDMX, Mexico
DOI
10.7287/peerj.preprints.26447v1
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
Herrera-Valdez MA, Padilla-Longoria P, Franci A, Lara-Aparicio M. 2018. Coupling and noise in the circadian clock synchronization. PeerJ Preprints 6:e26447v1

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

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