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We here study a network of synaptic relations mingling excitatory and inhibitory neuron nodes that displays oscillations quite similar to electroencephalogram (EEG) brain waves, and identify abrupt variations brought about by swift synaptic…

Neurons and Cognition · Quantitative Biology 2021-02-17 Jorge Pretel , Joaquin J. Torres , J. Marro

We present experimental and theoretical arguments, at the single neuron level, suggesting that neuronal response fluctuations reflect a process that positions the neuron near a transition point that separates excitable and unexcitable…

Neurons and Cognition · Quantitative Biology 2013-12-25 Asaf Gal , Shimon Marom

The characterization of coordinated activity in neuronal populations has received renewed interest in the light of advancing experimental techniques which allow recordings from multiple units simultaneously. Across both in vitro and in vivo…

Neurons and Cognition · Quantitative Biology 2015-06-16 Feraz Azhar , William S. Anderson

A stochastic reaction-diffusion model is studied on a networked support. In each patch of the network two species are assumed to interact following a non-normal reaction scheme. When the interaction unit is replicated on a directed linear…

While most models of randomly connected networks assume nodes with simple dynamics, nodes in realistic highly connected networks, such as neurons in the brain, exhibit intrinsic dynamics over multiple timescales. We analyze how the…

Disordered Systems and Neural Networks · Physics 2019-09-11 Samuel P. Muscinelli , Wulfram Gerstner , Tilo Schwalger

We study inhibitory coherence (i.e., collective coherence by synaptic inhibition) in an ensemble of globally-coupled type-I neurons which can fire at arbitrarily low frequencies. No inhibitory coherence is observed in a homogeneous ensemble…

Biological Physics · Physics 2011-11-01 Duk-Geun Hong , Sang-Yoon Kim , Woochang Lim

Many systems are modulated by unknown slow processes. This hinders analysis in highly non-linear systems, such as excitable systems. We show that for such systems, if the input matches the sparse `spiky' nature of the output, the spiking…

Neurons and Cognition · Quantitative Biology 2014-05-01 Daniel Soudry , Ron Meir

In specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

Neurons and Cognition · Quantitative Biology 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

We present here some studies on noise-induced order and synchronous firing in a system of bidirectionally coupled generic type-I neurons. We find that transitions from unsynchronized to completely synchronized states occur beyond a critical…

Adaptation and Self-Organizing Systems · Physics 2015-06-22 Nishant Malik , B. Ashok , J. Balakrishnan

The construction of biologically plausible models of neural circuits is crucial for understanding the computational properties of the nervous system. Constructing functional networks composed of separate excitatory and inhibitory neurons…

Disordered Systems and Neural Networks · Physics 2020-07-01 Alessandro Ingrosso , L. F. Abbott

Many natural systems including the brain comprise coupled non-uniformly stimulated elements. In this paper we show that heterogeneously driven networks of excitatory-inhibitory units exhibit striking collective phenomena, including…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 Varsha Sreenivasan , Shakti N. Menon , Sitabhra Sinha

Genetic regulatory networks with adaptive responses are widely studied in biology. Usually, models consisting only of a few nodes have been considered. They present one input receptor for activation and one output node where the adaptive…

Molecular Networks · Quantitative Biology 2016-07-20 Pablo Kaluza , Masayo Inoue

Humans excel at continually acquiring, consolidating, and retaining information from an ever-changing environment, whereas artificial neural networks (ANNs) exhibit catastrophic forgetting. There are considerable differences in the…

Neural and Evolutionary Computing · Computer Science 2023-04-17 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

The co-occurrence of action potentials of pairs of neurons within short time intervals is known since long. Such synchronous events can appear time-locked to the behavior of an animal and also theoretical considerations argue for a…

Neurons and Cognition · Quantitative Biology 2022-05-17 Moritz Helias , Tom Tetzlaff , Markus Diesmann

Spiking neural networks (SNNs) transmit information through discrete spikes, which performs well in processing spatial-temporal information. Due to the non-differentiable characteristic, there still exist difficulties in designing…

Neural and Evolutionary Computing · Computer Science 2021-05-28 Dongcheng Zhao , Yi Zeng , Yang Li

Networks of strongly-coupled neurons with random connectivity exhibit chaotic, asynchronous fluctuations. In previous work, we showed that when endowed with an additional low-rank connectivity consisting of the outer product of orthogonal…

Neurons and Cognition · Quantitative Biology 2021-06-09 Itamar Daniel Landau , Haim Sompolinsky

Bursting neurons are considered to be a potential cause of over-excitability and seizure susceptibility. The functional influence of these neurons in extended epileptic networks is still poorly understood. There is mounting evidence that…

Neurons and Cognition · Quantitative Biology 2016-10-07 Christian Geier , Alexander Rothkegel , Christian E. Elger , Klaus Lehnertz

Realizations of low firing rates in neural networks usually require globally balanced distributions among excitatory and inhibitory links, while feasibility of temporal coding is limited by neuronal millisecond precision. We show that…

Neurons and Cognition · Quantitative Biology 2015-06-16 Roni Vardi , Amir Goldental , Hagar Marmari , Haya Brama , Edward Stern , Shira Sardi , Pinhas Sabo , Ido Kanter

Neuromorphic networks can be described in terms of coarse-grained variables, where emergent sustained behaviours spontaneously arise if stochasticity is properly taken in account. For example it has been recently found that a directed…

Adaptation and Self-Organizing Systems · Physics 2020-01-23 Ilenia Apicella , Daniel Maria Busiello , Silvia Scarpetta , Samir Suweis

In many real-world oscillator systems, the phase response curves are highly heterogeneous. However, dynamics of heterogeneous oscillator networks has not been seriously addressed. We propose a theoretical framework to analyze such a system…

Pattern Formation and Solitons · Physics 2009-11-13 Yasuhiro Tsubo , Jun-nosuke Teramae , Tomoki Fukai