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Pulse-coupled spiking neural networks are a powerful tool to gain mechanistic insights into how neurons self-organize to produce coherent collective behavior. These networks use simple spiking neuron models, such as the $\theta$-neuron or…

神经元与认知 · 定量生物学 2024-09-30 Bastian Pietras

We study a network of spiking neurons with heterogeneous excitabilities connected via inhibitory delayed pulses. For globally coupled systems the increase of the inhibitory coupling reduces the number of firing neurons by following a Winner…

无序系统与神经网络 · 物理学 2019-05-29 Stefano Luccioli , David Angulo Garcia , Alessandro Torcini

We revisit the dynamics of a prototypical model of balanced activity in networks of spiking neutrons. A detailed investigation of the thermodynamic limit for fixed density of connections (massive coupling) shows that, when inhibition…

适应与自组织系统 · 物理学 2018-09-03 Ekkehard Ullner , Antonio Politi , Alessandro Torcini

We study the dynamics of two symmetrically coupled populations of identical leaky integrate-and-fire neurons characterized by an excitatory coupling. Upon varying the coupling strength, we find symmetry-breaking transitions that lead to the…

无序系统与神经网络 · 物理学 2012-08-02 Simona Olmi , Antonio Politi , Alessandro Torcini

We report a transition from asynchronous to oscillatory behaviour in balanced inhibitory networks for class I and II neurons with instantaneous synapses. Collective oscillations emerge for sufficiently connected networks. Their origin is…

无序系统与神经网络 · 物理学 2019-02-12 Matteo di Volo , Alessandro Torcini

Collective oscillations and their suppression by external stimulation are analyzed in a large-scale neural network consisting of two interacting populations of excitatory and inhibitory quadratic integrate-and-fire neurons. In the limit of…

神经元与认知 · 定量生物学 2021-07-14 Kestutis Pyragas , Augustinas P. Fedaravičius , Tatjana Pyragienė

Ensembles of phase-oscillators are known to exhibit a variety of collective regimes. Here, we show that a simple mean-field model involving two heterogenous populations of pulse-coupled oscillators, exhibits, in the strong-coupling limit, a…

无序系统与神经网络 · 物理学 2024-07-12 German Mato , Antonio Politi , Alessandro Torcini

The dynamical properties of a diluted fully-inhibitory network of pulse-coupled neurons are investigated. Depending on the coupling strength, two different phases can be observed. At low coupling the evolution rapidly converges towards…

无序系统与神经网络 · 物理学 2009-11-11 Ruediger Zillmer , Roberto Livi , Antonio Politi , Alessandro Torcini

We study an abstracted model of neuronal activity via numerical simulation, and report spatiotemporal pattern formation and critical like dynamics. A population of pulse coupled, discretised, relaxation oscillators is simulated over…

神经元与认知 · 定量生物学 2019-04-24 Dionysios Georgiadis , Didier Sornette

The collective dynamics of a network of excitable nodes changes dramatically when inhibitory nodes are introduced. We consider inhibitory nodes which may be activated just like excitatory nodes but, upon activating, decrease the probability…

神经元与认知 · 定量生物学 2014-04-03 Daniel B. Larremore , Woodrow L. Shew , Edward Ott , Francesco Sorrentino , Juan G. Restrepo

Nonlinear dynamics of spiking neural networks has recently attracted much interest as an approach to understand possible information processing in the brain and apply it to artificial intelligence. Since information can be processed by…

The stability of synchronous states is analysed in the context of two populations of inhibitory and excitatory neurons, characterized by different pulse-widths. The problem is reduced to that of determining the eigenvalues of a suitable…

神经元与认知 · 定量生物学 2020-02-04 Afifurrahman , Ekkehard Ullner , Antonio Politi

We investigate numerically the dynamics of large networks of $N$ globally pulse-coupled integrate and fire neurons in a noise-induced synchronized state. The powerspectrum of an individual element within the network is shown to exhibit in…

chao-dyn · 物理学 2009-10-28 Wouter-Jan Rappel , Alain Karma

In this work, we study the dynamic range of a neuronal network of excitable neurons with excitatory and inhibitory synapses. We obtain an analytical expression for the critical point as a function of the excitatory and inhibitory synaptic…

神经元与认知 · 定量生物学 2020-08-24 F S Borges , P R Protachevicz , V Santos , M S Santos , E C Gabrick , K C Iarosz , E L Lameu , M S Baptista , I L Caldas , A M Batista

We observe and study a self-organized phenomenon whereby the activity in a network of spiking neurons spontaneously terminates. We consider different types of populations, consisting of bistable model neurons connected electrically by gap…

无序系统与神经网络 · 物理学 2018-11-22 Muhammet Uzuntarla , Joaquin J. Torres , Ali Çalım , Ernest Barreto

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…

神经元与认知 · 定量生物学 2018-01-01 Hwayeon Ryu , Sue Ann Campbell

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…

生物物理 · 物理学 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

We analyze the dynamics of two coupled identical populations of quadratic integrate-and-fire neurons, which represent the canonical model for class I neurons near the spiking threshold. The populations are heterogeneous; they include both…

斑图形成与孤子 · 物理学 2017-10-25 Irmantas Ratas , Kestutis Pyragas

At the macroscale, the brain operates as a network of interconnected neuronal populations, which display rhythmic dynamics that support interareal communication. Understanding how stimulation of a particular brain area impacts such…

神经元与认知 · 定量生物学 2020-11-12 Lia Papadopoulos , Christopher W. Lynn , Demian Battaglia , Danielle S. Bassett

Synchronized oscillations in networks of inhibitory and excitatory coupled bursting neurons are common in a variety of neural systems from central pattern generators to human brain circuits. One example of the latter is the subcortical…

神经元与认知 · 定量生物学 2011-09-21 Choongseok Park , Leonid L. Rubchinsky
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