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A certain degree of inhibition is a common trait of dynamical networks in nature, ranging from neuronal and biochemical networks, to social and technological networks. We study here the role of inhibition in a representative dynamical…

适应与自组织系统 · 物理学 2017-12-27 Joao Pinheiro Neto , Marcus A. M. de Aguiar , José A. Brum , Stefan Bornholdt

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 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

Complexity in the temporal organization of neural systems may be a reflection of the diversity of its neural constituents. These constituents, excitatory and inhibitory neurons, comprise an invariant ratio in vivo and form the substrate for…

神经元与认知 · 定量生物学 2015-05-18 Xin Chen , Rhonda Dzakpasu

Inhibitory neurons play a crucial role in maintaining persistent neuronal activity. Although connected extensively through electrical synapses (gap-junctions), these neurons also exhibit interactions through chemical synapses in certain…

神经元与认知 · 定量生物学 2021-04-08 R. Janaki , A. S. Vytheeswaran

Recurrent networks of non-linear units display a variety of dynamical regimes depending on the structure of their synaptic connectivity. A particularly remarkable phenomenon is the appearance of strongly fluctuating, chaotic activity in…

神经元与认知 · 定量生物学 2017-05-10 Francesca Mastrogiuseppe , Srdjan Ostojic

The branching process is the minimal model for propagation dynamics, avalanches and criticality, broadly used in neuroscience. A simple extension of it, adding inhibitory nodes, induces a much-richer phenomenology, including, an…

统计力学 · 物理学 2022-07-08 Roberto Corral López , Victor Buendía , Miguel A. Muñoz

Inhibition is considered to shape neural activity, and broaden its pattern repertoire. In the sensory organs, where the anatomy of neural circuits is highly structured, lateral inhibition sharpens contrast among stimulus properties. The…

神经元与认知 · 定量生物学 2018-09-18 Netta Haroush , Shimon Marom

The mammalian brain could contain dense and sparse network connectivity structures, including both excitatory and inhibitory neurons, but is without any clearly defined output layer. The neurons have time constants, which mean that the…

神经元与认知 · 定量生物学 2021-06-04 Udaya B. Rongala , Henrik Jörntell

Networks of excitable nodes have recently attracted much attention particularly in regards to neuronal dynamics, where criticality has been argued to be a fundamental property. Refractory behavior, which limits the excitability of neurons…

无序系统与神经网络 · 物理学 2018-10-22 S. Amin Moosavi , Afshin Montakhab , Alireza Valizadeh

Various functions of a network of excitable units can be enhanced if the network is in the `critical regime', where excitations are, on average, neither damped nor amplified. An important question is how can such networks self-organize to…

无序系统与神经网络 · 物理学 2020-02-19 Yogesh S. Virkar , Juan G. Restrepo , Woodrow L. Shew , Edward Ott

The idealisation of neuronal pulses as $\delta$-spikes is a convenient approach in neuroscience but can sometimes lead to erroneous conclusions. We investigate the effect of a finite pulse-width on the dynamics of balanced neuronal…

神经元与认知 · 定量生物学 2024-06-19 Afifurrahman , Ekkehard Ullner , Antonio Politi

We investigate the dynamics of a neural network where each neuron evolves according to the combined effects of deterministic integrate-and-fire dynamics and purely inhibitory coupling with K randomly-chosen "neighbors". The inhibition…

适应与自组织系统 · 物理学 2009-11-07 P. L. Krapivsky , S. Redner

We investigate the collective dynamics of excitatory-inhibitory excitable networks in response to external stimuli. How to enhance dynamic range, which represents the ability of networks to encode external stimuli, is crucial to many…

神经元与认知 · 定量生物学 2013-12-24 Sen Pei , Shaoting Tang , Shu Yan , Shijin Jiang , Xiao Zhang , Zhiming Zheng

We study collective dynamics of complex networks of stochastic excitable elements, active rotators. In the thermodynamic limit of infinite number of elements, we apply a mean-field theory for the network and then use a Gaussian…

混沌动力学 · 物理学 2013-11-19 Bernard Sonnenschein , Michael A. Zaks , Alexander B. Neiman , Lutz Schimansky-Geier

Many natural systems are organized as networks, in which the nodes (be they cells, individuals or populations) interact in a time-dependent fashion. The dynamic behavior of these networks depends on how these nodes are connected, which can…

神经元与认知 · 定量生物学 2015-06-22 Anca Radulescu , Sergio Verduzco-Flores

We study the dynamics of excitable integrate-and-fire neurons in a small-world network. At low densities $p$ of directed random connections, a localized transient stimulus results in either self-sustained persistent activity or in a brief…

斑图形成与孤子 · 物理学 2009-11-10 Alex Roxin , Hermann Riecke , Sara A. Solla

We study a rate-model neural network composed of excitatory and inhibitory neurons in which neuronal input-output functions are power laws with a power greater than 1, as observed in primary visual cortex. This supralinear input-output…

神经元与认知 · 定量生物学 2015-03-20 Yashar Ahmadian , Daniel B. Rubin , Kenneth D. Miller

The statistical analysis of the collective neural activity known as avalanches provides insight into the proper behavior of brains across many species. We consider a neural network model based on the work of Lombardi, Herrmann, De…

无序系统与神经网络 · 物理学 2019-05-22 Jacob Carroll , Ada Warren , Uwe C. Täuber

In this paper, we clarify the mechanisms underlying a general phenomenon present in pulse-coupled heterogeneous inhibitory networks: inhibition can induce not only suppression of the neural activity, as expected, but it can also promote…

神经元与认知 · 定量生物学 2017-05-23 David Angulo-Garcia , Stefano Luccioli , Simona Olmi , Alessandro Torcini
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