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Living systems implement and execute an extraordinary plethora of computational tasks. The inherent degree of large scale coordination emerges as a global property, from the intricate sea of microscopic interactions. The brain, with its…

Disordered Systems and Neural Networks · Physics 2018-01-03 Duccio Fanelli , Francesco Ginelli , Roberto Livi , Niccolò Zagli , Clement Zankoc

A distributed average consensus algorithm robust to a wide range of impulsive channel noise distributions is proposed. This work is the first of its kind in the literature to propose a consensus algorithm which relaxes the requirement of…

Systems and Control · Computer Science 2015-06-22 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

We investigate the dynamics of continuous-time two-particle quantum walks on a one-dimensional noisy lattice. Depending on the initial condition, we show how the interplay between particle indistinguishability and interaction determines…

Biological systems are notoriously noisy. Noise, therefore, also plays an important role in many models of neural impulse generation. Noise is not only introduced for more realistic simulations but also to account for cooperative effects…

Neurons and Cognition · Quantitative Biology 2007-05-23 Martin Tobias Huber , Hans Albert Braun

Effect of noise in inducing order on various chaotically evolving systems is reviewed, with special emphasis on systems consisting of coupled chaotic elements. In many situations it is observed that the uncoupled elements when driven by…

chao-dyn · Physics 2015-06-24 Manojit Roy , R. E. Amritkar

Living organisms are non-equilibrium, fluctuating, dynamic systems containing multi-step biological signaling cascades (BSC) with the ability to transduce changes in the concentration of extracellular molecules such as cytokines into…

Molecular Networks · Quantitative Biology 2015-12-09 Tatsuaki Tsuruyama

Regulation of intrinsic noise in gene expression is essential for many cellular functions. Correspondingly, there is considerable interest in understanding how different molecular mechanisms of gene expression impact variations in protein…

Molecular Networks · Quantitative Biology 2011-03-02 Tao Jia , Rahul V. Kulkarni

Complex networks, from neuronal assemblies to social systems, can exhibit abrupt, system-wide transitions without external forcing. These endogenously generated ``noise-induced transitions'' emerge from the intricate interplay between…

Social and Information Networks · Computer Science 2024-09-04 Casper van Elteren , Rick Quax , Peter Sloot

Motivated by DNA-based storage, we study the noisy shuffling channel, which can be seen as the concatenation of a standard noisy channel (such as the BSC) and a shuffling channel, which breaks the data block into small pieces and shuffles…

Information Theory · Computer Science 2019-03-01 Ilan Shomorony , Reinhard Heckel

The interplay between nonlinear dynamic systems and noise has proved to be of great relevance in several application areas. In this presentation, we focus on the areas of information transmission and storage. We review some recent results…

Other Condensed Matter · Physics 2017-11-22 P. I. Fierens , G. A. Patterson , A. A. García , D. F. Grosz

This paper considers the transmission of confidential messages over noisy wireless ad hoc networks, where both background noise and interference from concurrent transmitters affect the received signals. For the random networks where the…

Information Theory · Computer Science 2014-01-24 Jinxiao Zhu , Yin Chen , Yulong Shen , Osamu Takahashi , Xiaohong Jiang , Norio Shiratori

We study by simulation the effect of the diffusive motion of repressor molecules on the noise in mRNA and protein levels in the case of a repressed gene. We find that spatial fluctuations due to diffusion can drastically enhance the noise…

Molecular Networks · Quantitative Biology 2007-05-23 Jeroen S. van Zon , Marco J. Morelli , Sorin Tanase-Nicola , Pieter Rein ten Wolde

The suprachiasmatic nucleus (SCN), also known as the circadian master clock, consists of a large population of oscillator neurons. Together, these neurons produce a coherent signal that drives the body's circadian rhythms. What properties…

Neurons and Cognition · Quantitative Biology 2023-01-04 Stéphanie M. C. Abo , José A. Carrillo , Anita T. Layton

Speech enhancement is challenging because of the diversity of background noise types. Most of the existing methods are focused on modelling the speech rather than the noise. In this paper, we propose a novel idea to model speech and noise…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-15 Chengyu Zheng , Xiulian Peng , Yuan Zhang , Sriram Srinivasan , Yan Lu

This paper considers a two-hop interference network, where two users transmit independent messages to their respective receivers with the help of two relay nodes. The transmitters do not have direct links to the receivers; instead, two…

Information Theory · Computer Science 2009-10-09 Yi Cao , Biao Chen

We study the evolution of conditional mutual information in generic open quantum systems, focusing on one-dimensional random circuits with interspersed local noise. Unlike in noiseless circuits, where conditional mutual information spreads…

Quantum Physics · Physics 2024-11-18 Su-un Lee , Changhun Oh , Yat Wong , Senrui Chen , Liang Jiang

The paper introduces novel methodologies for the identification of coefficients of switched autoregressive and switched autoregressive exogenous linear models. We consider cases which system's outputs are contaminated by possibly large…

Systems and Control · Electrical Eng. & Systems 2019-09-02 Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

We propose a mathematical framework to systematically explore the propagation properties of a class of continuous in time nonlinear neural network models comprising a hierarchy of processing areas, mutually connected according to the…

Analysis of PDEs · Mathematics 2025-05-15 Andrea Alamia , Léa Dalliès , Grégory Faye , Rufin Vanrullen

Neural-network models of high-level brain functions such as memory recall and reasoning often rely on the presence of stochasticity. The majority of these models assumes that each neuron in the functional network is equipped with its own…

Neurons and Cognition · Quantitative Biology 2022-05-17 Jakob Jordan , Mihai A. Petrovici , Oliver Breitwieser , Johannes Schemmel , Karlheinz Meier , Markus Diesmann , Tom Tetzlaff

We consider a communication system where two transmitters wish to exchange information through a half-duplex relay in the middle. The channels between the transmitters and the relay have asymmetric channel gains. More specifically, the…

Information Theory · Computer Science 2009-08-18 Makesh Pravin Wilson , Krishna Narayanan