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We study the strategy to optimally maximize the dynamic range of excitable networks by removing the minimal number of links. A network of excitable elements can distinguish a broad range of stimulus intensities and has its dynamic range…

适应与自组织系统 · 物理学 2018-01-10 Renquan Zhang , Sen Pei

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

The dynamic range measures the capacity of a system to discriminate the intensity of an external stimulus. Such an ability is fundamental for living beings to survive: to leverage resources and to avoid danger. Consequently, the larger is…

神经元与认知 · 定量生物学 2012-05-02 Leonardo L. Gollo , Claudio Mirasso , Víctor M. Eguíluz

The collective dynamics of a network of coupled excitable systems in response to an external stimulus depends on the topology of the connections in the network. Here we develop a general theoretical approach to study the effects of network…

无序系统与神经网络 · 物理学 2013-10-22 Daniel B. Larremore , Woodrow L. Shew , Juan G. Restrepo

A recurrent idea in the study of complex systems is that optimal information processing is to be found near bifurcation points or phase transitions. However, this heuristic hypothesis has few (if any) concrete realizations where a standard…

神经元与认知 · 定量生物学 2007-05-23 Osame Kinouchi , Mauro Copelli

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

Receptor cells with electrically coupled axons can improve both their input sensitivity and dynamical range due to collective non-linear wave properties. This mechanism is illustrated by a network of axons modeled by excitable maps…

无序系统与神经网络 · 物理学 2007-05-23 Osame Kinouchi

Attractors of dynamical systems may be networks in phase space that can be heteroclinic (where there are dynamical connections between simple invariant sets) or excitable (where a perturbation threshold needs to be crossed to a dynamical…

适应与自组织系统 · 物理学 2018-04-24 Peter Ashwin , Claire Postlethwaite

In this report trial-to-trial variations in the synchronized responses of neural networks are offered as evidence for excitation-inhibition ratio being a dynamic variable over time scales of minutes. Synchronized network responses to…

神经元与认知 · 定量生物学 2015-01-05 Netta Haroush , Shimon Marom

Networks of excitable elements are widely used to model real-world biological and social systems. The dynamic range of an excitable network quantifies the range of stimulus intensities that can be robustly distinguished by the network…

适应与自组织系统 · 物理学 2019-12-20 Renquan Zhang , Guoyi Quan , Jiannan Wang , Sen Pei

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

The dynamical responses of complex neuronal networks to external stimulus injected on a \emph{single} neuron are investigated. Stimulating the largest-degree neuron in the network, it is found that as the intensity of the stimulus…

混沌动力学 · 物理学 2016-04-13 Mengjiao Chen , Weijie Lin , Hengtong Wang , Wei Ren , Xingang Wang

Neural network models comprising elements which have exclusively excitatory or inhibitory synapses are capable of a wide range of dynamic behavior, including chaos. In this paper, a simple excitatory-inhibitory neural pair, which forms the…

无序系统与神经网络 · 物理学 2009-10-31 Sitabhra Sinha , Jayanta Basak

When a simple excitable system is continuously stimulated by a Poissonian external source, the response function (mean activity versus stimulus rate) generally shows a linear saturating shape. This is experimentally verified in some classes…

神经元与认知 · 定量生物学 2007-05-23 Mauro Copelli , Paulo R. A. Campos

We study the dynamic range of a cellular automaton model for a neuronal network with electrical and chemical synapses. The neural network is separated into two layers, where one layer corresponds to inhibitory, and the other corresponds to…

适应与自组织系统 · 物理学 2015-06-23 F. S. Borges , E. L. Lameu , A. M. Batista , K. C. Iarosz , M. S. Baptista , R. L. Viana

It is widely appreciated that well-balanced excitation and inhibition are necessary for proper function in neural networks. However, in principle, such balance could be achieved by many possible configurations of excitatory and inhibitory…

神经元与认知 · 定量生物学 2018-11-14 Vidit Agrawal , Andrew B. Cowley , Qusay Alfaori , Juan G. Restrepo , Daniel B. Larremore , Woodrow L. Shew

In the light of recent experimental findings that gap junctions are essential for low level intensity detection in the sensory periphery, the Greenberg-Hastings cellular automaton is employed to model the response of a two-dimensional…

神经元与认知 · 定量生物学 2016-09-08 Mauro Copelli , Osame Kinouchi

In computer simulations of spiking neural networks, often it is assumed that every two neurons of the network are connected by a probability of 2\%, 20\% of neurons are inhibitory and 80\% are excitatory. These common values are based on…

神经元与认知 · 定量生物学 2015-03-06 Hamed Seyed-allaei

We study the effects of network topology on the response of networks of coupled discrete excitable systems to an external stochastic stimulus. We extend recent results that characterize the response in terms of spectral properties of the…

无序系统与神经网络 · 物理学 2015-03-18 Daniel B. Larremore , Woodrow L. Shew , Edward Ott , Juan G. Restrepo

As few real systems comprise indistinguishable units, diversity is a hallmark of nature. Diversity among interacting units shapes properties of collective behavior such as synchronization and information transmission. However, the benefits…

神经元与认知 · 定量生物学 2016-05-06 Leonardo L. Gollo , Mauro Copelli , James A. Roberts
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