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We study some mechanisms responsible for synchronous oscillations and loss of synchrony at physiologically relevant frequencies (10-200 Hz) in a network of heterogeneous inhibitory neurons. We focus on the factors that determine the level…

神经元与认知 · 定量生物学 2007-05-23 J. A. White , C. C. Chow , J. Ritt , C. Soto-Trevino , N. Kopell

We study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to…

无序系统与神经网络 · 物理学 2007-05-23 N. Brunel , V. Hakim

In neurosciences, the brain processes information via the firing patterns of connected neurons operating across a spectrum of frequencies. To better understand the effects of these frequencies in the neuron dynamics, we have simulated a…

神经元与认知 · 定量生物学 2025-11-21 Gabriel Marghoti , Thiago L. Prado , Miguel A. F. Sanjuán , Sergio R. Lopes

High-level brain function such as memory, classification or reasoning can be realized by means of recurrent networks of simplified model neurons. Analog neuromorphic hardware constitutes a fast and energy efficient substrate for the…

神经元与认知 · 定量生物学 2016-06-10 Thomas Pfeil , Jakob Jordan , Tom Tetzlaff , Andreas Grübl , Johannes Schemmel , Markus Diesmann , Karlheinz Meier

We study a network model of two conductance-based pacemaker neurons of differing natural frequency, coupled with either mutual excitation or inhibition, and receiving shared random inhibitory synaptic input. The networks may phase-lock…

神经元与认知 · 定量生物学 2009-11-13 Ramana Dodla , Charles J. Wilson

In neuronal systems, inhibition contributes to stabilizing dynamics and regulating pattern formation. Through developing mean field theories of neuronal models, using complete graph networks, inhibition is commonly viewed as one ``control…

无序系统与神经网络 · 物理学 2024-04-29 Gustavo Menesse , Osame Kinouchi

Recently spike timing dependent plasticity was observed in inhibitory synapse in the layer II of entorhinal cortex. The rule provides an interesting zero in the region of $\Delta t=t_{post}-t_{pre}=0$ and in addition the dynamic range of…

神经元与认知 · 定量生物学 2013-04-24 Sachin S Talathi

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the…

适应与自组织系统 · 物理学 2013-03-07 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll

Recent experiments suggest that inhibitory networks of interneurons can synchronize the neuronal discharge in in vitro hippocampal slices. Subsequent theoretical work has shown that strong synchronization by mutual inhibition is only…

统计力学 · 物理学 2007-05-23 P. H. E Tiesinga , Jorge V Jose

We study the time delay in the synaptic conductance for suppression of spike synchronisation in a random network of Hodgkin Huxley neurons coupled by means of chemical synapses. In the first part, we examine in detail how the time delay…

Balanced neural networks -- in which excitatory and inhibitory inputs compensate each other on average -- give rise to a dynamical phase dominated by fluctuations called asynchronous state, crucial for brain functioning. However, structural…

统计力学 · 物理学 2024-03-05 Jorge Pretel , Victor Buendía , Joaquín J. Torres , Miguel A. Muñoz

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

Kinetics of a balanced network of neurons with a sparse grid of synaptic links is well representable by the stochastic dynamics of a generic neuron subject to an effective shot noise. The rate of delta-pulses of the noise is determined…

神经元与认知 · 定量生物学 2025-10-31 Maria V. Ageeva , Denis S. Goldobin

We investigate the modes of oscillation of heterogeneous ring-networks of quadratic integrate-and-fire neurons with non-local, space-dependent coupling. Perturbations of the equilibrium state with a particular wave number produce transient…

神经元与认知 · 定量生物学 2017-11-15 Jose M. Esnaola-Acebes , Alex Roxin , Daniele Avitabile , Ernest Montbrió

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

Synchronization in neural system plays an important role in many brain functions. Synchronization in the gamma frequency band (30Hz-100Hz) is involved in a variety of cognitive phenomena; abnormalities of the gamma synchronization are found…

神经元与认知 · 定量生物学 2021-04-26 Quynh-Anh Nguyen , Leonid L Rubchinsky

Reverberating dynamics of neural network is modelled on PC in order to illustrate possible role of inhibition as binding controller in the network. The network is composed of binding neurons. In the binding neuron model the degree of…

神经元与认知 · 定量生物学 2013-05-17 Alexander Vidybida

Although recurrent neural networks (RNNs) trained on cognitive tasks have become a widely used framework for studying neural computation, the internal mechanisms by which RNNs switch between rhythms across multiple frequency bands, and how…

神经元与认知 · 定量生物学 2026-05-15 Yutaka Yamaguti , Shota Nakamura

Synchronization is ubiquitous in nature, which is mathematically described by coupled oscillators. Synchronization strongly depends on the interaction network, and the network plays a crucial role in controlling the dynamics. To understand…

适应与自组织系统 · 物理学 2025-08-19 Akari Matsuki , Hiroshi Kori , Ryota Kobayashi

This paper introduces a class of stochastic models of interacting neurons with emergent dynamics similar to those seen in local cortical populations, and compares them to very simple reduced models driven by the same mean excitatory and…

神经元与认知 · 定量生物学 2017-11-07 Yao Li , Logan Chariker , Lai-Sang Young
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