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Over the brief time intervals available for processing retinal output, roughly 50 to 300 msec, the number of extra spikes generated by individual ganglion cells can be quite variable. Here, computer-generated spike trains were used to…

Neurons and Cognition · Quantitative Biology 2007-09-14 Garrett T. Kenyon

We study the statistics of spike trains of simultaneously recorded grid cells in freely behaving rats. We evaluate pairwise correlations between these cells and, using a generalized linear model (kinetic Ising model), study their functional…

Neurons and Cognition · Quantitative Biology 2015-06-19 Benjamin Dunn , Maria Mørreaunet , Yasser Roudi

We study the collective dynamics of a Leaky Integrate and Fire network in which precise relative phase relationship of spikes among neurons are stored, as attractors of the dynamics, and selectively replayed at differentctime scales. Using…

Neurons and Cognition · Quantitative Biology 2012-10-26 Silvia Scarpetta , Ferdinando Giacco

We investigate the synchronization between two neurons using the stochastic version of the map-based Chialvo model. To simulate non-identical neurons, a mismatch is introduced in one of the main parameters of the model. Subsequently, the…

Chaotic Dynamics · Physics 2024-04-12 Javier Used , Jesús Seoane , Irina Bashkirtseva , Lev Ryashko , Miguel A. F. Sanjuan

An important idea in neural information processing is the communication-through-coherence hypothesis, according to which communication between two brain regions is effective only if they are phase-locked. Also of importance is neuronal…

We characterize the synchronization of an array of coupled chaotic elements as a phase transition where order parameters related to the joint probability at two sites obey power laws versus the mutual coupling strength; the phase transition…

Chaotic Dynamics · Physics 2007-05-23 F. T. Arecchi , M. Ciszak

Multi-electrode arrays (MEA) are increasingly used to investigate spontaneous neuronal network activity. The recorded signals comprise several distinct components: Apart from artefacts without biological significance, one can distinguish…

Neurons and Cognition · Quantitative Biology 2017-04-03 Måns Henningson , Sebastian Illes

We report on experimental studies of synchronization phenomena in a pair of analog electronic neurons (ENs). The ENs were designed to reproduce the observed membrane voltage oscillations of isolated biological neurons from the…

Chaotic Dynamics · Physics 2009-10-31 R. D. Pinto , P. Varona , A. R. Volkovskii , A. Szucs , Henry D. I. Abarbanel , M. I. Rabinovich

We numerically investigate the influence of intrinsic channel noise on the dynamical response of delay-coupling in neuronal systems. The stochastic dynamics of the spiking is modeled within a stochastic modification of the standard…

Biological Physics · Physics 2013-09-23 Xue Ao , Peter Hanggi , Gerhard Schmid

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

Dynamic excitatory-inhibitory (E-I) balance is a paradigmatic mechanism invoked to explain the irregular low firing activity observed in the cortex. However, we will show that the E-I balance can be at the origin of other regimes observable…

Neurons and Cognition · Quantitative Biology 2023-11-13 Hongjie Bi , Matteo Di Volo , Alessandro Torcini

We study the effect of intrinsic heterogeneity on the activity of a population of leaky integrate-and-fire neurons. By rescaling the dynamical equation, we derive mathematical relations between multiple neuronal parameters and a fluctuating…

Neurons and Cognition · Quantitative Biology 2013-08-21 Man Yi Yim , Ad Aertsen , Stefan Rotter

The conventional impedance profile of a neuron can identify the presence of resonance and other properties of the neuronal response to oscillatory inputs, such as nonlinear response amplifications, but it cannot distinguish other nonlinear…

Neurons and Cognition · Quantitative Biology 2019-10-24 Rodrigo F. O. Pena , Vinicius Lima , Renan O. Shimoura , Cesar C. Ceballos , Horacio G. Rotstein , Antonio C. Roque

Networks of excitatory and inhibitory neurons display asynchronous irregular (AI) states, where the activities of the two populations are balanced. At the single cell level, it was shown that neurons subject to balanced and noisy synaptic…

Neurons and Cognition · Quantitative Biology 2016-11-29 Zahara Girones , Alain Destexhe

The dynamical behaviour of a weakly diluted fully-inhibitory network of pulse-coupled spiking neurons is investigated. Upon increasing the coupling strength, a transition from regular to stochastic-like regime is observed. In the…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Zillmer , R. Livi , A. Politi , A. Torcini

Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

At functional scales, cortical behavior results from the complex interplay of a large number of excitable cells operating in noisy environments. Such systems resist to mathematical analysis, and computational neurosciences have largely…

Neurons and Cognition · Quantitative Biology 2014-03-05 Mathieu Galtier , Jonathan Touboul

We apply an information theoretic treatment of action potential time series measured with microelectrode arrays to estimate the connectivity of mammalian neuronal cell assemblies grown {\it in vitro}. We infer connectivity between two…

Neurons and Cognition · Quantitative Biology 2007-05-23 Luis M. A. Bettencourt , Greg J. Stephens , Michael I. Ham , Guenter W. Gross

Developing networks of neural systems can exhibit spontaneous, synchronous activities called neural bursts, which can be important in the organization of functional neural circuits. Before the network matures, the activity level of a burst…

Neurons and Cognition · Quantitative Biology 2017-05-24 Chih-Hsu Huang , Yu-Ting Huang , Chun-Chung Chen , C. K. Chan