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A formalism is developed which describes the extent to which stochastic oscillations in biochemical models are synchronised. It is based on the calculation of the complex coherence function within the linear noise approximation. The method…

统计力学 · 物理学 2013-07-29 Joseph D. Challenger , Alan J. McKane

The interrelationship between a material's structure and its properties lies at the heart of materials-related research. Finding how the changes of one affect the other is of primary importance in theoretical and computational materials…

介观与纳米尺度物理 · 物理学 2024-06-14 Hao Wang , Kah-Meng Yam , Zhuoling Jiang , Na Guo , Chun Zhang

Many systems of physical and biological interest are characterized by assemblies of phase oscillators whose interaction is mediated by a diffusing chemical. The coupling effect results from the fact that the local concentration of the…

适应与自组织系统 · 物理学 2023-06-21 Pedro Haerter , Ricardo L. Viana

We analyze a simple stochastic model to describe motor molecules which cooperate in large groups and present a physical mechanism which can lead to oscillatory motion if the motors are elastically coupled to their environment. Beyond a…

软凝聚态物质 · 物理学 2009-10-28 Frank Julicher , Jacques Prost

We study self-oscillations of an optomechanical system, where coherent mechanical oscillations are induced by a driven optical or microwave cavity, for the case of an anharmonic mechanical oscillator potential. A semiclassical analytical…

量子物理 · 物理学 2016-08-17 Manuel Grimm , Christoph Bruder , Niels Lörch

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

Experiments that compare rhythmic properties across different genetic alterations and entrainment conditions underlie some of the most important breakthroughs in circadian biology. A robust estimation of the rhythmic properties of the…

定量方法 · 定量生物学 2021-07-30 Christoph Schmal , Gregor Mönke , Adrián E. Granada

The dynamics of qubits coupled to a harmonic oscillator with time-periodic coupling is investigated in the framework of Floquet theory. This system can be used to model nonadiabatic phenomena that require a periodic modulation of the…

量子物理 · 物理学 2021-01-01 Mirko Amico , Roman Ya. Kezerashvili

Kramers-Moyal coefficients provide a simple and easily visualized method with which to analyze stochastic time series, particularly nonlinear ones. One mechanism that can affect the estimation of the coefficients is geometric projection…

数据分析、统计与概率 · 物理学 2015-05-13 Steven J. Lade

Phase control of parametric modulation in coupled oscillator networks enables sculpting of dynamical states with desired spatiotemporal symmetries. Symmetry-aware Floquet analysis successfully predicts such states in linear systems, but…

经典物理 · 物理学 2026-05-07 Scott Lambert , Elise Jaremko , Jayson Paulose

A wide range of organisms features molecular machines, circadian clocks, which generate endogenous oscillations with ~24 h periodicity and thereby synchronize biological processes to diurnal environmental fluctuations. Recently, it has…

分子网络 · 定量生物学 2016-02-03 Mathias Foo , David E. Somers , Pan-Jun Kim

We present an implementation of a recently proposed procedure for defining time, based on the description of the evolving system and its clock as non-interacting, entangled systems, according to the Page and Wootters approach. We study how…

量子物理 · 物理学 2024-05-13 Alessandro Coppo , Alessandro Cuccoli , Paola Verrucchi

It has been generally recognized that stochasticity can play an important role in the information processing accomplished by reaction networks in biological cells. Most treatments of that stochasticity employ Gaussian noise even though it…

分子网络 · 定量生物学 2015-05-30 Neda Bostani , David A. Kessler , Nadav M. Shnerb , Wouter-Jan Rappel , Herbert Levine

We consider a nonlinear model for electrical conduction in biological tissues. The nonlinearity appears in the interface condition prescribed on the cell membrane. The purpose of this paper is proving asymptotic convergence for large times…

偏微分方程分析 · 数学 2015-07-24 Micol Amar , Daniele Andreucci , Roberto Gianni

A one-dimensional quantum oscillator is monitored by taking repeated position measurements. As a first con- tribution, it is shown that, under a quantum nondemolition measurement scheme applied to a system initially at the ground state, (i)…

量子物理 · 物理学 2015-11-13 Vincenzo Matta , Vincenzo Pierro

In an oscillatory medium, a region which oscillates faster than its surroundings can act as a source of outgoing waves. Such pacemaker-generated waves can synchronize the whole medium and are present in many chemical and biological systems,…

斑图形成与孤子 · 物理学 2021-08-04 Jan Rombouts , Lendert Gelens

It is by now established that, remarkably, the addition of noise to a nonlinear system may sometimes facilitate, rather than hamper the detection of weak signals. This phenomenon, usually referred to as stochastic resonance, was originally…

凝聚态物理 · 物理学 2009-10-31 Redouane Fakir

We consider the problem of understanding the basic features displayed by quantum systems described by parametric oscillators whose time-dependent frequency parameter $\omega(t)$ varies continuously during evolution so to realise quenching…

量子物理 · 物理学 2023-12-22 Mariagiovanna Gianfreda , Giulio Landolfi

Systems of dynamical elements exhibiting spontaneous rhythms are found in various fields of science and engineering, including physics, chemistry, biology, physiology, and mechanical and electrical engineering. Such dynamical elements are…

适应与自组织系统 · 物理学 2017-04-12 Hiroya Nakao

The piezoelectric optomechanical devices supply a promising experimental platform to realize the coherent and effective control and measurement of optical circuits working in Terahertz (THz) frequencies via superconducting electron devices…

量子物理 · 物理学 2020-11-16 Quanzhen Ding , Peng Zhao , Yonghong Ma , Yusui Chen