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How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

Why do neurons communicate through spikes? By definition, spikes are all-or-none neural events which occur at continuous times. In other words, spikes are on one side binary, existing or not without further details, and on the other can…

Neurons and Cognition · Quantitative Biology 2024-04-12 Antoine Grimaldi , Amélie Gruel , Camille Besnainou , Jean-Nicolas Jérémie , Jean Martinet , Laurent U Perrinet

A key question in neuroscience is at which level functional meaning emerges from biophysical phenomena. In most vertebrate systems, precise functions are assigned at the level of neural populations, while single-neurons are deemed…

Neurons and Cognition · Quantitative Biology 2017-03-17 Wieland Brendel , Ralph Bourdoukan , Pietro Vertechi , Christian K. Machens , Sophie Denéve

Neural dynamics is determined by the transmission of discrete synaptic pulses (synaptic shot-noise) among neurons. However, the neural responses are usually obtained within the diffusion approximation modeling synaptic inputs as continuous…

Disordered Systems and Neural Networks · Physics 2025-10-17 Denis S. Goldobin , Maria V. Ageeva , Matteo di Volo , Ferdinand Tixidre , Alessandro Torcini

Thalamic relay cells fire action potentials that transmit information from retina to cortex. The amount of information that spike trains encode is usually estimated from the precision of spike timing with respect to the stimulus. Sensory…

Population-wide oscillations are ubiquitously observed in mesoscopic signals of cortical activity. In these network states a global oscillatory cycle modulates the propensity of neurons to fire. Synchronous activation of neurons has been…

Neurons and Cognition · Quantitative Biology 2017-07-04 Tobias Kühn , Moritz Helias

The achievable rate of information transfer in optical communications is determined by the physical properties of the communication channel, such as the intrinsic channel noise. Bosonic phase-noise channels, a class of non-Gaussian…

Quantum Physics · Physics 2019-08-08 M. T. DiMario , L. Kunz , K Banaszek , F. E. Becerra

We introduce frequency propagation, a learning algorithm for nonlinear physical networks. In a resistive electrical circuit with variable resistors, an activation current is applied at a set of input nodes at one frequency, and an error…

Disordered Systems and Neural Networks · Physics 2022-08-19 Vidyesh Rao Anisetti , A. Kandala , B. Scellier , J. M. Schwarz

Using an exactly solvable cortical model of a neuronal network, we show that, by increasing the intensity of shot noise (flow of random spikes bombarding neurons), the network undergoes first- and second-order non-equilibrium phase…

Biological Physics · Physics 2015-08-26 K. -E. Lee , M. A. Lopes , A. V. Goltsev

Graph neural networks (GNNs) have demonstrated significant promise in modelling relational data and have been widely applied in various fields of interest. The key mechanism behind GNNs is the so-called message passing where information is…

Machine Learning · Computer Science 2023-10-31 Andi Han , Dai Shi , Lequan Lin , Junbin Gao

The theory of communication through coherence (CTC) proposes that brain oscillations reflect changes in the excitability of neurons, and therefore the successful communication between two oscillating neural populations depends not only on…

Neurons and Cognition · Quantitative Biology 2019-09-12 Alberto Pérez-Cervera , Tere M. Seara , Gemma Huguet

Bayesian inference offers a principled account of information processing in natural agents. However, it remains an open question how neural mechanisms perform their abstract operations. We investigate a hypothesis where a distributed form…

Neural and Evolutionary Computing · Computer Science 2025-12-12 Sepideh Adamiat , Wouter M. Kouw , Bert de Vries

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…

Neurons and Cognition · Quantitative Biology 2007-05-23 Julien Mayor , Wulfram Gerstner

This work develops a new method for estimating and optimizing the directed information rate between two jointly stationary and ergodic stochastic processes. Building upon recent advances in machine learning, we propose a recurrent neural…

Information Theory · Computer Science 2022-03-29 Dor Tsur , Ziv Aharoni , Ziv Goldfeld , Haim Permuter

We present an analytical framework that allows the quantitative study of statistical dynamic properties of networks with adaptive nodes that have memory and is used to examine the emergence of oscillations in networks with response…

Neurons and Cognition · Quantitative Biology 2017-07-18 Amir Goldental , Herut Uzan , Shira Sardi , Ido Kanter

We are interested in understanding the neural correlates of attentional processes using first principles. Here we apply a recently developed first principles approach that uses transmitted information in bits per joule to quantify the…

Information Theory · Computer Science 2016-05-13 Siavash Ghavami , Vahid Rahmati , Farshad Lahouti , Lars Schwabe

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

Spike patterns have been reported to encode sensory information in several brain areas. Here we assess the role of specific patterns in the neural code, by comparing the amount of information transmitted with different choices of the…

Quantitative Methods · Quantitative Biology 2009-12-14 Hugo Gabriel Eyherabide , Ines Samengo

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

MRI measurements from a decade-old study of the physical properties of brain tissue observed a dynamic, pulsating fluid flow in the interstitial spaces of the brain attributed to the cardiac cycle. The effects of this cyclic flow pattern on…

Medical Physics · Physics 2026-02-20 Raghu Raghavan , Richard D. Penn
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