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The gene networks that comprise the circadian clock modulate biological function across a range of scales, from gene expression to performance and adaptive behaviour. The clock functions by generating endogenous rhythms that can be…

Molecular Networks · Quantitative Biology 2012-10-25 Ozgur Akman , Steven Watterson , Andrew Parton , Nigel Binns , Andrew Millar , Peter Ghazal

We describe a mechanism for pronounced biochemical oscillations, relevant to microscopic systems, such as the intracellular environment. This mechanism operates for reaction schemes which, when modeled using deterministic rate equations,…

Cell Behavior · Quantitative Biology 2009-11-13 A. J. McKane , J. D. Nagy , T. J. Newman , M. O. Stefanini

A wide range of organisms use circadian clocks to keep internal sense of daily time and regulate their behavior accordingly. Most of these clocks use intracellular genetic networks based on positive and negative regulatory elements. The…

Biological Physics · Physics 2009-11-07 Jose M. G. Vilar , Hao Yuan Kueh , Naama Barkai , Stanislas Leibler

To estimate the time, many organisms, ranging from cyanobacteria to animals, employ a circadian clock which is based on a limit-cycle oscillator that can tick autonomously with a nearly 24h period. Yet, a limit-cycle oscillator is not…

Molecular Networks · Quantitative Biology 2018-08-22 Michele Monti , David K Lubensky , Pieter Rein ten Wolde

Circadian rhythms are known to be important drivers of human activity and the recent availability of electronic records of human behaviour has provided fine-grained data of temporal patterns of activity on a large scale. Further,…

The suprachiasmatic nucleus (SCN), also known as the circadian master clock, consists of a large population of oscillator neurons. Together, these neurons produce a coherent signal that drives the body's circadian rhythms. What properties…

Neurons and Cognition · Quantitative Biology 2023-01-04 Stéphanie M. C. Abo , José A. Carrillo , Anita T. Layton

Humans, like almost all animals, are phase-locked to the diurnal cycle. Most of us sleep at night and are active through the day. Because we have evolved to function with this cycle, the circadian rhythm is deeply ingrained and even…

Physics and Society · Physics 2015-08-03 Talayeh Aledavood , Sune Lehmann , Jari Saramäki

Objective: The circadian rhythm synchronizes physiological and behavioural patterns with the 24-hour light-dark cycle. Disruption to the circadian rhythm is linked to various health conditions, though optimal methods to describe these…

Circadian rhythmicity lies at the center of various important physiological and behavioral processes in mammals, such as sleep, metabolism, homeostasis, mood changes and more. It has been shown that this rhythm arises from self-sustained…

Neurons and Cognition · Quantitative Biology 2023-02-08 Yorgos M. Psarellis , Michail Kavousanakis , Michael A. Henson , Ioannis G. Kevrekidis

We propose a general approach to the question of how biological rhythms spontaneously self-regulate, based on the concept of ``stochastic feedback''. We illustrate this approach by considering the neuroautonomic regulation of the heart…

Statistical Mechanics · Physics 2009-10-30 Plamen Ch. Ivanov , Luis A. N. Amaral , Ary Goldberger , H. Eugene Stanley

Organisms often use cyclic changes in the concentrations of chemicals species to precisely time biological functions. Underlying these biochemical clocks are chemical reactions and transport processes, which are inherently stochastic.…

Statistical Mechanics · Physics 2020-02-06 Clara del Junco , Suriyanarayanan Vaikuntanathan

Periodic forcing of nonlinear oscillators leads to a large number of dynamic behaviors. The coupling of the cell-cycle to the circadian clock provides a biological realization of such forcing. Using high throughput single-cell microscopy,…

Biochemical oscillations are ubiquitous in nature and allow organisms to properly time their biological functions. In this paper, we consider minimal Markov state models of nonequilibrium biochemical networks that support oscillations. We…

Statistical Mechanics · Physics 2020-02-04 Clara del Junco , Suriyanarayanan Vaikuntanathan

A composite, exponential relaxation function, modulated by a periodic component, was used to fit to an experimental time series of blood glucose levels. The 11 parameters function that allows for the detection of a possible rhythm…

Quantitative Methods · Quantitative Biology 2008-01-30 Baruch Vainas

Many organisms possess both a cell cycle to control DNA replication and a circadian clock to anticipate changes between day and night. In some cases, these two rhythmic systems are known to be coupled by specific, cross-regulatory…

Molecular Networks · Quantitative Biology 2016-04-12 Joris Paijmans , Mark Bosman , Pieter Rein ten Wolde , David K. Lubensky

The circadian clock can adapt itself to external cues, but the molecular mechanisms and regulatory networks governing circadian oscillations' transient adjustments are still largely unknown. Here we consider the specific case of circadian…

Molecular Networks · Quantitative Biology 2023-04-18 Ziyu Zhao , Dae-Sung Hwangbo , Sumit Saurabh , Clark Rosensweig , Ravi Allada , William L. Kath , Rosemary Braun

We consider biochemical reaction chains and investigate how random external fluctuations, as characterized by variance and coefficient of variation, propagate down the chains. We perform such a study under the assumption that the number of…

Probability · Mathematics 2007-08-03 David F. Anderson , Jonathan C. Mattingly

In genomic applications, there is often interest in identifying genes whose time-course expression trajectories exhibit periodic oscillations with a period of approximately 24 hours. Such genes are usually referred to as circadian, and…

Methodology · Statistics 2024-02-28 Silvia Montagna , Irina Irincheeva , Surya T. Tokdar

A fundamental description of time can be consistent not only with the usual monotonic behavior but also with a periodic physical clock variable, coupled to the degrees of freedom of a system evolving in time. Generically, one would in fact…

Quantum Physics · Physics 2022-05-25 Martin Bojowald , Luiz Martinez , Garrett Wendel

Circadian rhythms govern biological patterns that follow a 24-hour cycle. Dysfunctions in circadian rhythms can contribute to various health problems, such as sleep disorders. Current circadian rhythm assessment methods, often invasive or…

Signal Processing · Electrical Eng. & Systems 2024-04-05 Fan Wu , Patrick Langer , Jinjoo Shim , Elgar Fleisch , Filipe Barata