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The development of systemic approaches in biology has put emphasis on identifying genetic modules whose behavior can be modeled accurately so as to gain insight into their structure and function. However most gene circuits in a cell are…

A biophysical model of arousal dynamics is used to study mechanisms of synchronisation and loss of synchrony among the three key oscillators controlling sleep-wake cycles: the circadian, homeostatic, and light oscillators. Synchronisation…

生物物理 · 物理学 2021-01-22 Dmitry E. Postnov , Ksenia O. Merkulova , Svetlana Postnova

Clock synchronization is a widely discussed topic in the engineering literature. Ensuring that individual clocks are closely aligned is important in network systems, since the correct timing of various events in a network is usually…

系统与控制 · 计算机科学 2017-04-25 Timothy Anglea , Yongqiang Wang

The ability of a circadian system to entrain to the 24-hour light-dark cycle is one of its most important properties. A new tool, called the entrainment map, was recently introduced to study this process for a single oscillator. Here we…

动力系统 · 数学 2020-04-17 Guangyuan Liao , Casey Diekman , Amitabha Bose

Collective oscillation of cells in a population has been reported under diverse biological contexts and with vastly different molecular constructs. Could there be common principles similar to those that govern spontaneous oscillation in…

细胞行为 · 定量生物学 2019-07-08 Shou-Wen Wang , Lei-Han Tang

Being able to measure time, whether directly or indirectly, is a significant advantage for an organism. It permits it to predict regular events, and prepare for them on time. Thus, clocks are ubiquitous in biology. In the present paper, we…

其他定量生物学 · 定量生物学 2017-06-23 Andrei D. Robu , Christoph Salge , Chrystopher L. Nehaniv , Daniel Polani

We analyze a class of network motifs in which a short, two-node positive feed- back motif is inserted in a three-node negative feedback loop. We demonstrate that such networks can undergo a bifurcation to a state where a stable fixed point…

分子网络 · 定量生物学 2012-09-10 Weihan Li , Sandeep Krishna , Simone Pigolotti , Namiko Mitarai , Mogens H. Jensen

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…

神经元与认知 · 定量生物学 2023-02-08 Yorgos M. Psarellis , Michail Kavousanakis , Michael A. Henson , Ioannis G. Kevrekidis

Daylight plays a major role in the wake/sleep cycle in humans. Indeed, the wake/sleep system stems from biological systems that follow a circadian rhythm determined by the light/dark alternation. The oscillations can be modeled by the…

生物物理 · 物理学 2022-01-13 F. L. Tsafack Tayong , R. Yamapi , G. Filatrella

Coupled oscillator networks underlie many biological systems, from cardiac cycles to circadian rhythms. Phase-reduced models such as the Kuramoto model have been widely used to study synchronization, but they typically assume that…

动力系统 · 数学 2026-05-29 Naghmeh Akhavan , Ruby Kim

Living systems regulate many aspects of their behavior through periodic oscillations of molecular concentrations, which function as `biochemical clocks.' These clocks are intrinsically subject to thermal fluctuations, so that the duration…

生物物理 · 物理学 2020-08-10 Robert Marsland , Wenping Cui , Jordan M. Horowitz

We consider a periodic quantum clock based on cooperative resonance fluorescence at zero temperature. In the quantum case, this system has an exact steady state and the limit cycle appears in conditional quantum dynamics under homodyne…

量子物理 · 物理学 2025-03-18 Varinder Singh , Euijoon Kwon , G J Milburn

A van der Pol self sustained oscillator with higher order nonlinearity exhibits a rich dynamics, with multiple periodic attractors, and still the model allows analytical approximations. Some of these properties can be conveniently exploited…

生物物理 · 物理学 2022-01-13 F. L. Tsafack Tayong , R. Yamapi , G. Filatrella

Being able to measure time, whether directly or indirectly, is a significant advantage for an organism. It allows for the timely reaction to regular or predicted events, reducing the pressure for fast processing of sensory input. Thus,…

其他定量生物学 · 定量生物学 2019-06-19 Andrei D. Robu , Christoph Salge , Chrystopher L. Nehaniv , Daniel Polani

Nearly all living organisms, including some bacterial species, exhibit biological processes with a period of about 24 h called circadian (from the Latin circa, about, dies, day) rhythms. These rhythms allow living organisms to anticipate…

种群与进化 · 定量生物学 2013-11-22 Guadalupe Cascallares , Pablo M. Gleiser

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires…

混沌动力学 · 物理学 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

We study the problem of clock synchronization in highly dynamic networks, where communication links can appear or disappear at any time. The nodes in the network are equipped with hardware clocks, but the rate of the hardware clocks can…

分布式、并行与集群计算 · 计算机科学 2018-12-11 Fabian Kuhn , Christoph Lenzen , Thomas Locher , Rotem Oshman

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

量子物理 · 物理学 2019-09-04 Loic Henriet

The production process of integrated electronic circuitry inherently leads to large heterogeneities on the component level. For electronic clock networks this implies detuned intrinsic frequencies and differences in coupling strength and…

适应与自组织系统 · 物理学 2019-09-04 Nirmal Punetha , Lucas Wetzel

This paper characterizes self-oscillations in discrete-time linear time-invariant (LTI) relay feedback systems with nonnegative dead zone. Specifically, we aim to establish existence criteria for unimodal self-oscillations, defined as…

最优化与控制 · 数学 2026-03-17 Kang Tong , Christian Grussler , Michelle S. Chong