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Noise can shape the firing behaviors of neurons. Here, we show that noise acting on the fast variable of the Hedgehog burster can tune the spike counts of bursts via the self-induced stochastic resonance (SISR) phenomenon. Using the…

Adaptation and Self-Organizing Systems · Physics 2022-07-29 Jinjie Zhu , Hiroya Nakao

In this paper we suggest a new algorithm for determination of signal-to-noise ratio (SNR). SNR is a quantitative measure widely used in science and engineering. Generally, methods for determination of SNR are based on using of…

Data Analysis, Statistics and Probability · Physics 2016-09-30 Z. Zh. Zhanabaev , S. N. Akhtanov , E. T. Kozhagulov , B. A Karibayev

We present a theoretical study of single-stranded DNA under stretching. Within the proposed framework, the effects of basepairing on the mechanical response of the molecule can be studied in combination with an arbitrary underlying model of…

Soft Condensed Matter · Physics 2009-11-10 Alexei V. Tkachenko

An amenable, analytical two-state description of the nonlinear population dynamics of a noisy bistable system driven by a rectangular subthreshold signal is put forward. Explicit expressions for the driven population dynamics, the…

Statistical Mechanics · Physics 2016-08-16 Jesús Casado-Pascual , José Gómez-Ordóñez , Manuel Morillo , Peter Hänggi

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…

Condensed Matter · Physics 2009-10-31 Redouane Fakir

We have recently discovered stochastic resonance (SR) in chaotic inertia-less viscoelastic channel flow. SR appears just above a pure elastic instability at a critical Weissenberg number, $Wi_c=150$, of a transition regime. In this lower…

Fluid Dynamics · Physics 2024-05-14 Yuke Li , Victor Steinberg

The stochastic resonance (SR) in bistable systems has been extensively discussed with the use of {\it phenomenological} Langevin models. By using the {\it microscopic}, generalized Caldeira-Leggett (CL) model, we study in this paper, SR of…

Statistical Mechanics · Physics 2015-06-04 Hideo Hasegawa

It is well-known that deep neural networks (DNNs) have shown remarkable success in many fields. However, when adding an imperceptible magnitude perturbation on the model input, the model performance might get rapid decrease. To address this…

Machine Learning · Computer Science 2022-01-04 Hao Yang , Min Wang , Zhengfei Yu , Yun Zhou

In this paper I will review some basic aspects of the mechanism of stochastic resonance. Stochastic resonance was first introduced as a possible mechanism to explain long term climatic variation. Since then, there have been many…

Chaotic Dynamics · Physics 2017-08-23 Roberto Benzi

Understanding the relationship between spontaneous stochastic fluctuations and the topology of the underlying gene regulatory network is of fundamental importance for the study of single-cell stochastic gene expression. Here by solving the…

Molecular Networks · Quantitative Biology 2017-10-25 Chen Jia , Peng Xie , Min Chen , Michael Q. Zhang

Living cells provide a fluctuating, out-of-equilibrium environment in which genes must coordinate cellular function. DNA looping, which is a common means of regulating transcription, is very much a stochastic process; the loops arise from…

Biomolecules · Quantitative Biology 2015-05-18 Yih-Fan Chen , J. N. Milstein , Jens-Christian Meiners

Responses have been numerically studied of an ensemble of $N$ (=1, 10, and 100) Hodgkin-Huxley (HH) neurons to coherent spike-train inputs applied with independent Poisson spike-train (ST) noise and Gaussian white noise. Three interrelated…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hideo Hasegawa

We study the elastic behaviour of a supercoiled DNA molecule. The simplest model is that of a rod like chain, involving two elastic constants, the bending and the twist rigidities. We show that this model is singular and needs a small…

Condensed Matter · Physics 2009-10-31 Claude Bouchiat , Marc Mezard

Spectrum sensing is essential in cognitive radio to enable dynamic spectrum access. In many scenarios, primary user signal must be detected reliably in low signal-to-noise ratio (SNR) regime under required sensing time. We propose to use…

Information Theory · Computer Science 2009-06-04 Kun Zheng , Husheng Li , Seddik M. Djouadi , Jun Wang

Nature presents multiple intriguing examples of processes which proceed at high precision and regularity. This remarkable stability is frequently counter to modelers' experience with the inherent stochasticity of chemical reactions in the…

Molecular Networks · Quantitative Biology 2015-12-31 Andreas Milias-Argeitis , Stefan Engblom , Pavol Bauer , Mustafa Khammash

In networked systems, stochastic resonance occurs as a collective phenomenon where the entire stochastic network resonates with a weak applied periodic signal. Beyond the interplay among the network coupling, the amplitude of the external…

Adaptation and Self-Organizing Systems · Physics 2025-02-11 Jonah E. Friederich , Everton S. Medeiros , Sabine H. L. Klapp , Anna Zakharova

We study the stochastic resonance (SR) of a flexible polymer chain crossing over a piecewise linear bistable potential. The dependence of signal to noise ratio $SNR$ on noise intensity $D$, coupling constant $k$ and polymer length $N$ is…

Statistical Mechanics · Physics 2015-05-19 Mesfin Asfaw

The development of electron spin resonance (ESR) combined with scanning tunneling spectroscopy (STM) is undoubtedly one of the main experimental breakthroughs in surface science of the last decade thanks to joining the extraordinarily high…

Strongly Correlated Electrons · Physics 2022-08-31 Fernando Delgado , Nicolás Lorente

The kinetic folding of RNA sequences into secondary structures is modeled as a complex adaptive system, the components of which are possible RNA structural rearrangements (SRs) and their associated bases and base pairs. RNA bases and base…

Biomolecules · Quantitative Biology 2007-05-23 Wilfred Ndifon

Results are presented of studying the stochastic resonance (SR) in conductors with bcc lattice and narrow conduction band. In such materials, SR has a feature, namely, the weak-signal gain as a function of the additive and non-correlated…

Materials Science · Physics 2007-05-23 E. M. Epshtein , T. A. Gorshenina , G. M. Shmelev
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