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We extensively explore networks of weakly unbalanced, leaky integrate-and-fire (LIF) neurons for different coupling strength, connectivity, and by varying the degree of refractoriness, as well as the delay in the spike transmission. We find…

Neurons and Cognition · Quantitative Biology 2018-12-14 Antonio Politi , Ekkehard Ullner , Alessandro Torcini

Neuronal avalanches, measured in vitro and in vivo, exhibit a robust critical behaviour. Their temporal organization hides the presence of correlations. Here we present experimental measurements of the waiting time distribution between…

Neurons and Cognition · Quantitative Biology 2012-04-30 F. Lombardi , H. J. Herrmann , C. Perrone-Capano , D. Plenz , L. de Arcangelis

We investigate the efficient transmission and processing of weak, subthreshold signals in a realistic neural medium in the presence of different levels of the underlying noise. Assuming Hebbian weights for maximal synaptic conductances --…

Biological Physics · Physics 2015-08-19 Joaquin J. Torres , Irene Elices , J. Marro

In this work we focus on how noise propagates in biochemical reaction networks and affects sensitivities of the system. We discover that the stochastic fluctuations can enhance sensitivities in one region of the value of control parameters…

Molecular Networks · Quantitative Biology 2008-06-24 Kyung Hyuk Kim , Hong Qian , Herbert M. Sauro

There is consensus in the current literature that stable states of asynchronous irregular spiking activity require (i) large networks of 10 000 or more neurons and (ii) external background activity or pacemaker neurons. Yet already in 1963,…

Neurons and Cognition · Quantitative Biology 2013-11-07 Marc-Oliver Gewaltig

A perturbative method is developed for calculating the effects of recurrent synaptic interactions between neurons embedded in a network. A series expansion is constructed that converges for networks with noisy membrane potential and weak…

Disordered Systems and Neural Networks · Physics 2009-11-10 Patrick D. Roberts

The importance of self-feedback autaptic transmission in modulating spike-time irregularity is still poorly understood. By using a biophysical model that incorporates autaptic coupling, we here show that self-innervation of neurons…

Neurons and Cognition · Quantitative Biology 2016-07-04 Daqing Guo , Shengdun Wu , Mingming Chen , Matjaz Perc , Yangsong Zhang , Jingling Ma , Yan Cui , Peng Xu , Yang Xia , Dezhong Yao

In the context of attractor neural networks, we study how the equilibrium analog neural activities, reached by the network dynamics during memory retrieval, may improve storage performance by reducing the interferences between the recalled…

Condensed Matter · Physics 2009-10-22 Nicolas Brunel , Riccardo Zecchina

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…

Neurons and Cognition · Quantitative Biology 2011-09-21 Choongseok Park , Leonid L. Rubchinsky

This article is devoted to the theoretical and numerical analysis of a network of excitatory and inhibitory neurons of Hodgkin-Huxley (HH) type, for which the topology is inspired by that of a single local layer of visual cortex V1. Our…

Neurons and Cognition · Quantitative Biology 2021-08-13 M. Maama , B. Ambrosio , M. A. Aziz-Alaoui , S. M. Mintchev

This article investigates the emergence of phase synchronization in a network of randomly connected neurons by chemical synapses. The study uses the classic Hodgkin-Huxley model to simulate the neuronal dynamics under the action of a train…

Artificial neural networks normally require precise weights to operate, despite their origins in biological systems, which can be highly variable and noisy. When implementing artificial networks which utilize analog 'synaptic' devices to…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Wilkie Olin-Ammentorp , Karsten Beckmann , Catherine D. Schuman , James S. Plank , Nathaniel C. Cady

A great deal of research has been devoted on the investigation of neural dynamics in various network topologies. However, only a few studies have focused on the influence of autapses, synapses from a neuron onto itself via closed loops, on…

Neurons and Cognition · Quantitative Biology 2020-11-09 P. R. Protachevicz , K. C. Iarosz , I. L. Caldas , C. G. Antonopoulos , A. M. Batista , J. Kurths

Neural-network processing in machine learning applications relies on layer synchronization. This is practiced even in artificial Spiking Neural Networks (SNNs), which are touted as consistent with neurobiology, in spite of processing in the…

Neural and Evolutionary Computing · Computer Science 2025-10-27 Roel Koopman , Amirreza Yousefzadeh , Mahyar Shahsavari , Guangzhi Tang , Manolis Sifalakis

The "edge of chaos" phase transition in artificial neural networks is of renewed interest in light of recent evidence for criticality in brain dynamics. Statistical mechanics traditionally studied this transition with connectivity $k$ as…

Disordered Systems and Neural Networks · Physics 2019-07-17 Lorenz Baumgarten , Stefan Bornholdt

We investigate the dynamics of a network consisting of an array of identical cortical units with nearest neighbor interactions under periodic arousal. Each unit consists of two interconnected populations of neurons tuned to a state in which…

Neurons and Cognition · Quantitative Biology 2019-02-12 Leandro M. Alonso

Neurons are subject to various kinds of noise. In addition to synaptic noise, the stochastic opening and closing of ion channels represents an intrinsic source of noise that affects the signal processing properties of the neuron. In this…

Neurons and Cognition · Quantitative Biology 2008-11-14 Yong Chen , Lianchun Yu , Shao-Meng Qin

The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a pair of neurons (one excitatory and the…

chao-dyn · Physics 2007-05-23 Sitabhra Sinha

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…

Neurons and Cognition · Quantitative Biology 2015-03-20 Yashar Ahmadian , Daniel B. Rubin , Kenneth D. Miller

Living organisms must respond to environmental changes. Generally, accurate and rapid responses are provided by simple, unidirectional networks that connect inputs with outputs. Besides accuracy and speed, biological responses should also…

Molecular Networks · Quantitative Biology 2021-09-01 Masayo Inoue , Kunihiko Kaneko
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