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We report on both analytical and numerical results concerning stochastic Hopfield--like neural automata exhibiting the following (biologically inspired) features: (1) Neurons and synapses evolve in time as in contact with respective baths…

Statistical Mechanics · Physics 2007-05-23 J. J. Torres , J. Marro , P. L. Garrido , J. M. Cortes , F. Ramos , M. A. Munoz

Excessively high, neural synchronisation has been associated with epileptic seizures, one of the most common brain diseases worldwide. A better understanding of neural synchronisation mechanisms can thus help control or even treat epilepsy.…

We study the effect of intrinsic heterogeneity on the activity of a population of leaky integrate-and-fire neurons. By rescaling the dynamical equation, we derive mathematical relations between multiple neuronal parameters and a fluctuating…

Neurons and Cognition · Quantitative Biology 2013-08-21 Man Yi Yim , Ad Aertsen , Stefan Rotter

A great deal of research has been devoted on the investigation of neural dynamics in various network topologies. However, only a few studies have focused on the influence of autapses, synapses from a neuron onto itself via closed loops, on…

Neurons and Cognition · Quantitative Biology 2020-11-09 P. R. Protachevicz , K. C. Iarosz , I. L. Caldas , C. G. Antonopoulos , A. M. Batista , J. Kurths

The brain may be thought of as a many-body architecture with a spatio-temporal dynamics described by neuronal structures. The oscillatory nature of brain activity allows these structures (nodes) to be described as a set of coupled…

Neurons and Cognition · Quantitative Biology 2021-02-03 J. Mendoza-Ruiz , C. E. Alonso-Malaver , M. Valderrama , O. A. Rosso , J. H. Martínez

Synaptic efficacy between neurons is known to change within a short time scale dynamically. Neurophysiological experiments show that high-frequency presynaptic inputs decrease synaptic efficacy between neurons. This phenomenon is called…

Disordered Systems and Neural Networks · Physics 2015-05-28 Yosuke Otsubo , Kenji Nagata , Masafumi Oizumi , Masato Okada

We analyze partial synchronization patterns in a network of FitzHugh-Nagumo oscillators with empirical structural connectivity measured in healthy human subjects. We report a dynamical asymmetry between the hemispheres, induced by the…

Adaptation and Self-Organizing Systems · Physics 2019-07-17 Lukas Ramlow , Jakub Sawicki , Anna Zakharova , Jaroslav Hlinka , Jens Christian Claussen , Eckehard Schöll

A good understanding of how neurons use electrical pulses (i.e, spikes) to encode the signal information remains elusive. Analyzing spike sequences generated by individual neurons and by two coupled neurons (using the stochastic…

Neurons and Cognition · Quantitative Biology 2019-10-23 Maria Masoliver , Cristina Masoller

The theta rhythm is important for many cognitive functions including spatial processing, memory encoding, and memory recall. The information processing underlying these functions is thought to rely on consistent, phase-specific spiking…

Neurons and Cognition · Quantitative Biology 2025-10-16 Oleg Makarenkov , Marianne Bezaire , Michael Hasselmo

The effects of nonlocal and reflecting connectivities have been previously investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between neurons. In this work we investigate the…

Pattern Formation and Solitons · Physics 2018-10-16 N. D. Tsigkri-DeSmedt , I. Koulierakis , G. Karakos , A. Provata

Understanding of short-term synaptic depression (STSD) and other forms of synaptic plasticity is a topical problem in neuroscience. Here we study the role of STSD in the formation of complex patterns of brain rhythms. We use a cortical…

Disordered Systems and Neural Networks · Physics 2015-06-12 K. -E. Lee , A. V. Goltsev , M. A. Lopes , J. F. F. Mendes

We show that for two identical neuronal oscillators with strictly positive phase resetting curve, isochronous synchrony is an unstable attractor and arbitrarily weak noise can destroy entrainment and generate intermittent phase slips. Small…

Neurons and Cognition · Quantitative Biology 2016-11-18 Ehsan Bolhasani , Alireza Valizadeh

We study both analytically and numerically the effect of presynaptic noise on the transmission of information in attractor neural networks. The noise occurs on a very short-time scale compared to that for the neuron dynamics and it produces…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. M. Cortes , J. J. Torres , J. Marro , P. L. Garrido , H. J. Kappen

The synchronization behavior of networked chaotic oscillators with periodic coupling is investigated. It is observed in simulations that the network synchronizability could be significantly influenced by tuning the coupling frequency, even…

Chaotic Dynamics · Physics 2018-07-18 Sansan Li , Na Sun , Li Chen , Xingang Wang

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

Biological Physics · Physics 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

Adaptive behavior, cognition and emotion are the result of a bewildering variety of brain spatiotemporal activity patterns. An important problem in neuroscience is to understand the mechanism by which the human brain's 100 billion neurons…

Neurons and Cognition · Quantitative Biology 2011-05-09 Paul Expert , Renaud Lambiotte , Dante R. Chialvo , Kim Christensen , Henrik Jeldtoft Jensen , David J. Sharp , Federico Turkheimer

Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

Intermittent transitions, associated with critical dynamics and characterized by power-law distributions, are commonly observed during sleep. These critical behaviors are evident at the microscopic level through neuronal avalanches and at…

Physics and Society · Physics 2025-03-28 Xiyun Zhang , Bojun Wang , Hongjie Bi

We report the first results of simulating the coupling of neuronal, astrocyte, and cerebrovascular activity. It is suggested that the dynamics of the system is different from systems that only include neurons. In the neuron-vascular…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Xi Shen , Philippe De Wilde

In electric power systems delivering alternating current, it is essential to maintain its synchrony of the phase with the rated frequency. The synchronization stability that quantifies how well the power-grid system recovers its synchrony…

Physics and Society · Physics 2019-10-24 Heetae Kim , Mi Jin Lee , Sang Hoon Lee , Seung-Woo Son
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