A model for generating circadian rhythm by coupling ultradian oscillators

Theoretical Biology & Medical Modelling
Verner PaetkauReinhard Illner

Abstract

Organisms ranging from humans to cyanobacteria undergo circadian rhythm, that is, variations in behavior that cycle over a period about 24 hours in length. A fundamental property of circadian rhythm is that it is free-running, and continues with a period close to 24 hours in the absence of light cycles or other external cues. Regulatory networks involving feedback inhibition and feedforward stimulation of mRNA transcription and translation are thought to be critical for many circadian mechanisms, and genes coding for essential components of circadian rhythm have been identified in several organisms. However, it is not clear how such components are organized to generate a circadian oscillation. We propose a model in which two independent transcriptional-translational oscillators with periods much shorter than 24 hours are coupled to drive a forced oscillator that has a circadian period, using mechanisms and parameters of conventional molecular biology. Furthermore, the resulting circadian oscillator can be entrained by an external light-dark cycle through known mechanisms. We rationalize the mathematical basis for the observed behavior of the model, and show that the behavior is not dependent on the details of the component ultr...Continue Reading

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Citations

Jan 11, 2007·Theoretical Biology & Medical Modelling·Roderick EdwardsVerner Paetkau
Aug 14, 2012·Chronobiology International·Jakob C MuellerBart Kempenaers
Jun 20, 2008·Synapse·Leonardo Rodríguez-SosaGonzalo Flores
Aug 15, 2014·Journal of Biosciences·Yuuichi Seki, Teiichi Tanimura
Mar 12, 2015·Bulletin of Mathematical Biology·R EdwardsP van den Driessche
Sep 27, 2019·Frontiers in Nutrition·Seul-A BaeIoannis P Androulakis
Jan 14, 2021·Wiley Interdisciplinary Reviews. Systems Biology and Medicine·Ioannis P Androulakis

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