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It is shown that the single-step periodic signal (periodic telegraph signal) can not produce coherent stochastic resonance for diffusion on a segment with one absorbing and one reflecting end points while the multi-step periodic signal…

Statistical Mechanics · Physics 2007-05-23 Asish K. Dhara , Tapan Mukhopadhya

Robust oscillations play crucial roles in a wide variety of biological processes and are often generated by deterministic mechanisms. However, stochastic fluctuations often generate complex perturbations of these deterministic oscillations,…

Dynamical Systems · Mathematics 2026-03-27 Xuesong Bai , Jonathan Touboul , Thomas G. Fai

In this paper we introduce a model which provides a new approach to the phenomenon of stochastic resonance. It is based on the study of the properties of the stationary distribution of the underlying stochastic process. We derive the…

Probability · Mathematics 2007-05-23 Peter Imkeller , Ilya Pavlyukevich

Modern resonant sensing tools can achieve increasingly high quality factors, which correspond to extremely narrow linewidths. In such systems, time-variation of the resonator's natural frequency can potentially impact its ability to…

Instrumentation and Detectors · Physics 2026-03-24 Hao-Ran Cui , Saarik Kalia , Zhen Liu

Single molecule Raman spectroscopy provides information on individual molecules with vibrational-level resolution. The unique mechanisms leading to the huge Raman cross-section enhancement necessary for single molecule sensitivity are under…

Materials Science · Physics 2007-05-23 Gilad Haran

In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. In many cases the challenge is to discover a low-dimensional structure in the data, often concealed by the existence…

Statistics Theory · Mathematics 2019-06-05 Yariv Aizenbud , Boris Landa , Yoel Shkolnisky

The two-state model of stochastic resonance is extended to a chain of coupled two-state elements governed by the dynamics of Glauber's stochastic Ising model. Appropriate assumptions on the model parameters turn the chain into a prototype…

Statistical Mechanics · Physics 2009-10-31 Udo Siewert , Lutz Schimansky-Geier

Motivated by recent studies of population coding in theoretical neuroscience, we examine the optimality of a recently described form of stochastic resonance known as suprathreshold stochastic resonance, which occurs in populations of noisy…

Statistical Mechanics · Physics 2007-07-02 Mark D. McDonnell , Nigel G. Stocks , Charles E. M. Pearce , Derek Abbott

The study of synchronization among genetic oscillators is essential for the understanding of the rhythmic phenomena of living organisms at both molecular and cellular levels. Genetic networks are intrinsically noisy due to natural random…

Molecular Networks · Quantitative Biology 2007-05-23 Chunguang Li , Luonan Chen , Kazuyuki Aihara

Stochasticity plays a central role in nearly every biological process, and the noise power spectral density (PSD) is a critical tool for understanding variability and information processing in living systems. In steady-state, many such…

Dynamical Systems · Mathematics 2024-11-26 Shivang Rawat , Stefano Martiniani

Spin noise spectroscopy has become a widespread technique to extract information on spin dynamics in atomic and solid-state systems, in a potentially non-invasive way, through the optical probing of spin fluctuations. Here we experimentally…

A wealth of new research has highlighted the critical roles of small RNAs (sRNAs) in diverse processes such as quorum sensing and cellular responses to stress. The pathways controlling these processes often have a central motif comprising…

Molecular Networks · Quantitative Biology 2015-05-27 Charles Baker , Tao Jia , Rahul V. Kulkarni

While most models of randomly connected networks assume nodes with simple dynamics, nodes in realistic highly connected networks, such as neurons in the brain, exhibit intrinsic dynamics over multiple timescales. We analyze how the…

Disordered Systems and Neural Networks · Physics 2019-09-11 Samuel P. Muscinelli , Wulfram Gerstner , Tilo Schwalger

Sensory information propagates through successive processing stages in the brain, where synaptic weight patterns between stations determine how downstream neurons decode information from upstream populations. Although optimized synaptic…

Neurons and Cognition · Quantitative Biology 2026-02-26 Ori Hendler , Ronen Segev , Maoz Shamir

Mechanical unfolding of RNA structures, ranging from hairpins to ribozymes, using laser optical tweezer (LOT) experiments have begun to reveal the features of the energy landscape that cannot be easily explored using conventional…

Biomolecules · Quantitative Biology 2009-11-13 Changbong Hyeon , D. Thirumalai

We report model calculations on DNA single strands which describe the equilibrium dynamics and kinetics of hairpin formation and melting. Modeling is at the level of single bases. Strand rigidity is described in terms of simple polymer…

Soft Condensed Matter · Physics 2007-10-01 Jalal Errami , Michel Peyrard , Nikos Theodorakopoulos

Diffusive Synchrotron Radiation (DSR) is produced by charged particles as they random walk in a stochastic magnetic field. The spectrum of the radiation produced by particles in such fields differs substantially from those of standard…

Astrophysics · Physics 2008-11-26 G. D. Fleishman , M. F. Bietenholz

Modeling stochasticity in gene regulatory networks is an important and complex problem in molecular systems biology. To elucidate intrinsic noise, several modeling strategies such as the Gillespie algorithm have been used successfully. This…

Molecular Networks · Quantitative Biology 2013-01-18 David Murrugarra , Alan Veliz-Cuba , Boris Aguilar , Seda Arat , Reinhard Laubenbacher

The inverse stochastic resonance (ISR) phenomenon consists in an unexpected depression in the response of a system under external noise, e.g., as observed in the behavior of the mean-firing rate in some pacemaker neurons in the presence of…

Statistical Mechanics · Physics 2018-11-01 Joaquín J. Torres , Muhammet Uzuntarla , J. Marro

By using the wavelet transformation (WT), we have analyzed the response of an ensemble of $N$ (=1, 10, 100 and 500) Hodgkin-Huxley (HH) neurons to {\it transient} $M$-pulse spike trains ($M=1-3$) with independent Gaussian noises. The…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hideo Hasegawa