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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

In this report, we investigate the synchronization of temporal activity in an electrically coupled neural network model. The electrical coupling is established by homotypic static gap-junctions (Connexin 43). Two distinct network…

Neurons and Cognition · Quantitative Biology 2007-05-23 Rajesh G Kavasseri , Radhakrishnan Nagarajan

Neurophysiologists are nowadays able to record from a large number of extracellular electrodes and to extract, from the raw data, the sequences of action potentials or spikes generated by many neurons. Unfortunately these ''many neurons''…

Applications · Statistics 2026-04-22 Pierre Charitat , Ségolen Geffray , Christophe Pouzat

We devised a measure based on the distributions of relative event timings of two coupled units. The measure dynamically evaluates temporal interdependencies between the two coupled units. Using this we show that even in the event of…

Chaotic Dynamics · Physics 2007-05-23 Michal Zochowski , Rhonda Dzakpasu

Multi-electrode arrays covering several square millimeters of neural tissue provide simultaneous access to population signals such as extracellular potentials and spiking activity of one hundred or more individual neurons. The…

Neurons and Cognition · Quantitative Biology 2024-11-11 Johanna Senk , Espen Hagen , Sacha J. van Albada , Markus Diesmann

Multi-electrode arrays (MEA) are increasingly used to investigate spontaneous neuronal network activity. The recorded signals comprise several distinct components: Apart from artefacts without biological significance, one can distinguish…

Neurons and Cognition · Quantitative Biology 2017-04-03 Måns Henningson , Sebastian Illes

A common way of studying the relationship between neural activity and behavior is through the analysis of neuronal spike trains that are recorded using one or more electrodes implanted in the brain. Each spike train typically contains…

Applications · Statistics 2011-04-15 Mengxin Li , Wei-Liem Loh

The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast…

Physics and Society · Physics 2016-02-17 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

Multiple-channel detection is considered in the context of a sensor network where raw data are shared only by nodes that have a common edge in the network graph. Established multiple-channel detectors, such as those based on generalized…

Applications · Statistics 2016-11-15 Douglas Cochran , Stephen D. Howard , Bill Moran , Harry A. Schmitt

We experimentally show that the neuron functions as a precise time-integrator, where the accumulated changes in neuronal response latencies, under complex and random stimulation patterns, are solely a function of a global quantity, the…

Neurons and Cognition · Quantitative Biology 2014-04-23 Roni Vardi , Hagar Marmari , Ido Kanter

The presence of synchronized clusters in neuron networks is a hallmark of information transmission and processing. The methods commonly used to study cluster synchronization in networks of coupled oscillators ground on simplifying…

Dynamical Systems · Mathematics 2020-07-09 Matteo Lodi , Fabio Della Rossa , Francesco Sorrentino , Marco Storace

In this paper we present a simple microscopic stochastic model describing short term plasticity within a large homogeneous network of interacting neurons. Each neuron is represented by its membrane potential and by the residual calcium…

Probability · Mathematics 2020-01-29 Antonio Galves , Eva Löcherbach , Christophe Pouzat , Errico Presutti

We consider a wireless sensor network consisting of multiple nodes that are coordinated by a fusion center (FC) in order to estimate a common signal of interest. In addition to being coordinated, the sensors are also able to collaborate,…

Information Theory · Computer Science 2012-10-15 Swarnendu Kar , Pramod K. Varshney

This work is devoted to the problem of synchronization of two Morris-Lecar neuron models. The Morris-Lecar model is a second-order system of differential equations, which describes an uneasy relationship between the membrane potential and…

Optimization and Control · Mathematics 2023-11-14 A. V. Rybalko , D. M. Semenov , A. L. Fradkov

Describing the collective activity of neural populations is a daunting task: the number of possible patterns grows exponentially with the number of cells, resulting in practically unlimited complexity. Recent empirical studies, however,…

Neurons and Cognition · Quantitative Biology 2012-02-02 Andrea K. Barreiro , Julijana Gjorgjieva , Fred Rieke , Eric Shea-Brown

Starting from the concept of binary interactions between pairs of particles, a kinetic framework for the description of the action potential dynamics on a neural network is proposed. It consists of two coupled levels: the description of a…

Biological Physics · Physics 2023-03-21 Martina Conte , Maria Groppi , Andrea Tosin

Signals recorded from neurons with extracellular planar sensors have a wide range of waveforms and amplitudes. This variety is a result of different physical conditions affecting the ion currents through a cellular membrane. The…

We study synaptically coupled neuronal networks to identify the role of coupling delays in network's synchronized behaviors. We consider a network of excitable, relaxation oscillator neurons where two distinct populations, one excitatory…

Neurons and Cognition · Quantitative Biology 2018-01-01 Hwayeon Ryu , Sue Ann Campbell

Understanding the functioning of a neural system in terms of its underlying circuitry is an important problem in neuroscience. Recent developments in electrophysiology and imaging allow one to simultaneously record activities of hundreds of…

Databases · Computer Science 2008-03-11 Debprakash Patnaik , P. S. Sastry , K. P. Unnikrishnan

We perform a numerical study on the application of electromagnetic flux on a heterogeneous network of Chialvo neurons represented by a ring-star topology. Heterogeneities are realized by introducing additive noise modulations on both the…

Dynamical Systems · Mathematics 2024-02-09 Indranil Ghosh , Sishu Shankar Muni , Hammed Olawale Fatoyinbo