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Neurons in the central nervous system are affected by complex and noisy signals due to fluctuations in their cellular environment and in the inputs they receive from many other cells 1,2. Such noise usually increases the probability that a…

神经元与认知 · 定量生物学 2008-05-06 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

Noise-induced phase transitions are common in various complex systems, from physics to biology. In this article, we investigate the emergence of crucial events in noise-induced phase transition processes and their potential significance for…

数据分析、统计与概率 · 物理学 2023-06-28 Jacob D. Baxley , David R. Lambert , Mauro Bologna , Bruce J. West , Paolo Grigolini

Noisy fluctuations are ubiquitous in complex systems. They play a crucial or delicate role in the dynamical evolution of gene regulation, signal transduction, biochemical reactions, among other systems. Therefore, it is essential to…

动力系统 · 数学 2018-11-05 Jinqiao Duan , Hui Wang

A new type of noised-induced phase transitions that should occur in systems of elements with motivated behavior is considered. By way of an example, a simple oscillatory system {x,v} with additive white noise is analyzed numerically. A…

软凝聚态物质 · 物理学 2007-05-23 Ihor Lubashevsky , Morteza Hajimahmoodzadeh , Albert Katsnelson , Peter Wagner

The cloud of cold atoms obtained from a magneto-optical trap is known to exhibit two types of instabilities in the regime of high atomic densities: stochastic instabilities and deterministic instabilities. In the present paper, the…

原子物理 · 物理学 2009-11-10 Daniel Hennequin

We have analyzed the interplay between noise and periodic modulations in a mean field model of a neural excitable medium. To this purpose, we have considered two types of modulations; namely, variations of the resistance and oscillations of…

统计力学 · 物理学 2016-08-15 J. M. G. Vilar , R. V. Solé , J. M. Rubí

We investigate the performance of sparsely-connected networks of integrate-and-fire neurons for ultra-short term information processing. We exploit the fact that the population activity of networks with balanced excitation and inhibition…

神经元与认知 · 定量生物学 2007-05-23 Julien Mayor , Wulfram Gerstner

We study the transfer dynamics of non-classical fluctuations of light to the ground-state collective spin components of an atomic ensemble during a pulsed quantum memory sequence, and evaluate the relevant physical quantities to be measured…

量子物理 · 物理学 2009-11-11 Aurelien Dantan , Jean Cviklinski , Michel Pinard , Philippe Grangier

Finite-sized populations of spiking elements are fundamental to brain function, but also used in many areas of physics. Here we present a theory of the dynamics of finite-sized populations of spiking units, based on a quasi-renewal…

神经元与认知 · 定量生物学 2015-03-04 Moritz Deger , Tilo Schwalger , Richard Naud , Wulfram Gerstner

Strange nonchaotic attractors (SNAs) in noise driven systems are investigated. Before the transition to chaos, due to the effect of noise, a typical trajectory will wander between the periodic attractor and its nearby chaotic saddle in an…

混沌动力学 · 物理学 2009-11-10 Xingang Wang , Meng Zhan , C. -H. Lai , Ying-Cheng Lai

Evolution of a system of diffusing and proliferating mortal reactants is analyzed in the presence of randomly moving catalysts. While the continuum description of the problem predicts reactant extinction as the average growth rate becomes…

软凝聚态物质 · 物理学 2009-10-31 N. M. Shnerb , E. Bettelheim , Y. Louzoun , O. Agam , S. Solomon

Continuous attractor neural networks generate a set of smoothly connected attractor states. In memory systems of the brain, these attractor states may represent continuous pieces of information such as spatial locations and head directions…

无序系统与神经网络 · 物理学 2019-01-16 Chi Chung Alan Fung , Tomoki Fukai

We consider a generic class of gene circuits affected by nonlinear extrinsic noise. To address this nonlinearity we introduce a general perturbative methodology based on assuming timescale separation between noise and genes dynamics, with…

分子网络 · 定量生物学 2023-05-10 Gerardo Aquino , Andrea Rocco

Intrinsic transcriptional noise induced by operator fluctuations is investigated with a simple spin like stochastic model. The effects of transcriptional fluctuations in protein synthesis is probed by coupling transcription and translation…

其他定量生物学 · 定量生物学 2007-05-23 Guilherme da C. P. Innocentini , Jose E. M. Hornos

We study charge fluctuations of a family of stochastic charged cellular automata away from the deterministic single-file limit and obtain the exact typical charge probability distributions, known to be anomalous, using hydrodynamics. The…

统计力学 · 物理学 2025-06-06 Takato Yoshimura , Žiga Krajnik

One of the major challenges in neuroscience is to determine how noise that is present at the molecular and cellular levels affects dynamics and information processing at the macroscopic level of synaptically coupled neuronal populations.…

无序系统与神经网络 · 物理学 2014-06-12 Paul C. Bressloff , Jay M. Newby

The development of neuromorphic systems based on memristive elements - resistors with memory - requires a fundamental understanding of their collective dynamics when organized in networks. Here, we study an experimentally inspired model of…

统计力学 · 物理学 2017-01-18 Forrest C. Sheldon , Massimiliano Di Ventra

We present a simple analytical tool which gives an approximate insight into the stationary behavior of nonlinear systems undergoing the influence of a weak and rapid noise from one dominating source, e.g. the kinetic equations describing a…

定量方法 · 定量生物学 2008-08-13 Anna Ochab-Marcinek

Learning in neural systems occurs through change in synaptic connectivity that is driven by neural activity. Learning performance is influenced by both neural activity and the task to be learned. Experimental studies suggest a link between…

无序系统与神经网络 · 物理学 2024-09-23 Tomoki Kurikawa , Kunihiko Kaneko

A tutorial review is given of some developments and applications of stochastic processes from the point of view of the practicioner physicist. The index is the following: 1.- Introduction 2.- Stochastic Processes 3.- Transient Stochastic…

凝聚态物理 · 物理学 2007-05-23 Maxi San Miguel , Raul Toral
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