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We study the problem of estimating the source of a network cascade given a time series of noisy information about the spread. Initially, there is a single vertex affected by the cascade (the source) and the cascade spreads in discrete time…

Statistics Theory · Mathematics 2022-11-15 Anirudh Sridhar , H. Vincent Poor

Molecular noise in gene regulatory networks has two intrinsic components, one part being due to fluctuations caused by the birth and death of protein or mRNA molecules which are often present in small numbers and the other part arising from…

Molecular Networks · Quantitative Biology 2015-11-17 Davit A. Potoyan , Peter G. Wolynes

In both natural and engineered systems, communication often occurs dynamically over networks ranging from highly structured grids to largely disordered graphs. To use, or comprehend the use of, networks as efficient communication media…

Physics and Society · Physics 2020-03-17 Giacomo Baggio , Virginia Rutten , Guillaume Hennequin , Sandro Zampieri

Biological systems can share and collectively process information to yield emergent effects, despite inherent noise in communication. While man-made systems often employ intricate structural solutions to overcome noise, the structure of…

Multiagent Systems · Computer Science 2017-12-25 Lucas Boczkowski , Ofer Feinerman , Amos Korman , Emanuele Natale

A system of interacting particles described by stochastic differential equations is considered. As oppopsed to the usual model, where the noise perturbations acting on different particles are independent, here the particles are subject to…

Analysis of PDEs · Mathematics 2016-06-23 Michele Coghi , Franco Flandoli

Signal transduction networks can form highly interconnected systems within cells due to network crosstalk, the sharing of input signals between multiple downstream responses. To better understand the evolutionary design principles…

Biological Physics · Physics 2018-02-14 Ammar Tareen , Ned S. Wingreen , Ranjan Mukhopadhyay

We study the effect of extrinsic noise in metabolic networks. We introduce external random fluctuations at the kinetic level, and show how these lead to a stochastic generalization of standard Metabolic Control Analysis. While Summation and…

Subcellular Processes · Quantitative Biology 2015-05-13 Andrea Rocco

We develop a formalism to describe the discrete-time dynamics of systems containing an arbitrary number of interacting species. The individual-based model, which forms our starting point, is described by a Markov chain, which in the limit…

Statistical Mechanics · Physics 2014-10-06 César Parra-Rojas , Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

We study the effect of intrinsic noise on the thermodynamic balance of complex chemical networks subtending cellular metabolism and gene regulation. A topological network property called deficiency, known to determine the possibility of…

Molecular Networks · Quantitative Biology 2015-11-12 Matteo Polettini , Artur Wachtel , Massimiliano Esposito

This study examines the impact of additive and multiplicative noise on both a single leaky integrate-and-fire (LIF) neuron and a trained spiking neural network (SNN). Noise was introduced at different stages of neural processing, including…

Neural and Evolutionary Computing · Computer Science 2026-04-16 I. D. Kolesnikov , D. A. Maksimov , V. M. Moskvitin , N. Semenova

We present a maximum entropy framework to separate intrinsic and extrinsic contributions to noisy gene expression solely from the profile of expression. We express the experimentally accessible probability distribution of the copy number of…

Subcellular Processes · Quantitative Biology 2015-06-12 Purushottam D. Dixit

Network cascade refers to diffusion processes in which outcome changes within part of an interconnected population trigger a sequence of changes across the entire network. These cascades are governed by underlying diffusion networks, which…

Social and Information Networks · Computer Science 2025-06-25 Yubai Yuan , Siyu Huang , Abdul Basit Adeel

We investigate the efficient transmission and processing of weak, subthreshold signals in a realistic neural medium in the presence of different levels of the underlying noise. Assuming Hebbian weights for maximal synaptic conductances --…

Biological Physics · Physics 2015-08-19 Joaquin J. Torres , Irene Elices , J. Marro

A new method is introduced to obtain a strong signal by the interference of weak signals in noisy channels. The method is based on the interference of 1/f noise from parallel channels. One realization of stochastic interference is the…

Chaotic Dynamics · Physics 2009-11-07 K. Svozil , D. Felix , K. Ehrenberger

Recently, the field of hardware neural networks has been actively developing, where neurons and their connections are not simulated on a computer but are implemented at the physical level, transforming the neural network into a tangible…

Neural and Evolutionary Computing · Computer Science 2026-01-14 Ivan Kolesnikov , Nadezhda Semenova

In these last years, many studies have focalized on the design of reliable underwater acoustic communication systems. However, the ocean acoustic communication channel exhibits strong amplitude and phase fluctuations and the phenomena of…

Signal Processing · Electrical Eng. & Systems 2019-07-16 Yasin Yousif Al-Aboosi , Hussein A. Abdulnabi

A learning path is proposed starting from the characterization of a sound wave, showing how human beings emit articulate sounds in the language, introducing psychoacoustics, i.e. how the sound interacts with ears and it is transduced into…

Physics Education · Physics 2016-01-08 Vera Montalbano

We consider a network of randomly coupled rate-based neurons influenced by external and internal noise. We derive a second-order stochastic mean-field model for the network dynamics and use it to analyze the stability and bifurcations in…

Chaotic Dynamics · Physics 2015-12-14 Vladimir Klinshov , Igor Franovic

We study the effects of noise on the dynamics of a system of coupled self-propelling particles in the case where the coupling is time-delayed, and the delays are discrete and randomly generated. Previous work has demonstrated that the…

Pattern Formation and Solitons · Physics 2012-10-08 Brandon Lindley , Luis Mier-y-Teran-Romero , Ira B. Schwartz

We consider the problem of identifying the most influential nodes for a spreading process on a network when prior knowledge about structure and dynamics of the system is incomplete or erroneous. Specifically, we perform a numerical analysis…

Physics and Society · Physics 2018-10-09 Şirag Erkol , Ali Faqeeh , Filippo Radicchi
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