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Many biological neuronal networks exhibit highly variable spiking activity. Balanced networks offer a parsimonious model of this variability. In balanced networks, strong excitatory synaptic inputs are canceled by strong inhibitory inputs…

Neurons and Cognition · Quantitative Biology 2016-05-04 Ryan Pyle , Robert Rosenbaum

Neuronal network synchronization has received wide interests. Network connection structure is known to play a key role in its synchronization. In the present manuscript, we study the influence of initial membrane potentials together with…

Dynamical Systems · Mathematics 2021-12-14 Xiaoyue Wu , Congping lin , Yiwei Zhang

Neurons process sensory stimuli efficiently, showing sparse yet highly variable ensemble spiking activity involving structured higher-order interactions. Notably, while neural populations are mostly silent, they occasionally exhibit highly…

Neurons and Cognition · Quantitative Biology 2025-07-17 Ulises Rodríguez-Domínguez , Hideaki Shimazaki

Neurons in the primary visual cortex are more or less selective for the orientation of a light bar used for stimulation. A broad distribution of individual grades of orientation selectivity has in fact been reported in all species. A…

Neurons and Cognition · Quantitative Biology 2015-06-19 Sadra Sadeh , Stefan Rotter

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…

Disordered Systems and Neural Networks · Physics 2019-05-29 Stefano Luccioli , David Angulo Garcia , Alessandro Torcini

The brain is characterized by a strong heterogeneity of inhibitory neurons. We report that spiking neural networks display a resonance to the heterogeneity of inhibitory neurons, with optimal input/output responsiveness occurring for levels…

Neurons and Cognition · Quantitative Biology 2021-09-30 Matteo di Volo , Alain Destexhe

We introduce a novel spiking neural network model for learning distributed internal representations from data in an unsupervised procedure. We achieved this by transforming the non-spiking feedforward Bayesian Confidence Propagation Neural…

Neural and Evolutionary Computing · Computer Science 2023-05-12 Naresh Ravichandran , Anders Lansner , Pawel Herman

The population activity of random networks of excitatory and inhibitory leaky integrate-and-fire (LIF) neurons has been studied extensively. In particular, a state of asynchronous activity with low firing rates and low pairwise correlations…

Neurons and Cognition · Quantitative Biology 2015-06-03 Volker Pernice , Benjamin Staude , Stefano Cardanobile , Stefan Rotter

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

Neurons and Cognition · Quantitative Biology 2014-06-02 Robert Rosenbaum , Brent Doiron

High-level brain function such as memory, classification or reasoning can be realized by means of recurrent networks of simplified model neurons. Analog neuromorphic hardware constitutes a fast and energy efficient substrate for the…

Neurons and Cognition · Quantitative Biology 2016-06-10 Thomas Pfeil , Jakob Jordan , Tom Tetzlaff , Andreas Grübl , Johannes Schemmel , Markus Diesmann , Karlheinz Meier

Hierarchically modular organization is a canonical network topology that is evolutionarily conserved in the nervous systems of animals. Within the network, neurons form directional connections defined by the growth of their axonal…

Neurons and Cognition · Quantitative Biology 2024-04-26 Nobuaki Monma , Hideaki Yamamoto , Naoya Fujiwara , Hakuba Murota , Satoshi Moriya , Ayumi Hirano-Iwata , Shigeo Sato

Neurophysiologists are nowadays able to record from a large number of extracellular electrodes and to extract, from the raw data, the sequences of action potentials or spikes generated by many neurons. Unfortunately these ''many neurons''…

Applications · Statistics 2026-04-22 Pierre Charitat , Ségolen Geffray , Christophe Pouzat

Networks of interconnected neurons communicating through spiking signals offer the bedrock of neural computations. Our brains spiking neural networks have the computational capacity to achieve complex pattern recognition and cognitive…

Neural and Evolutionary Computing · Computer Science 2024-12-06 Naresh Ravichandran , Anders Lansner , Pawel Herman

We experimentally demonstrate that networks of identical photonic spiking neurons based on coupled degenerate parametric oscillators can show various chimera states, in which, depending on their local synchronization and desynchronization,…

We present a first-order non-homogeneous Markov model for the interspike-interval density of a continuously stimulated spiking neuron. The model allows the conditional interspike-interval density and the stationary interspike-interval…

Neurons and Cognition · Quantitative Biology 2012-08-15 J. Tapson , C. Jin , A. van Schaik , R. Etienne-Cummings

We continue the work of a series of previous studies of a mathematical model that describes the mean-field limit behavior of a homogeneous network of excitatory point spiking neurons. Contrary to other models, here noise is intrinsic to the…

Neurons and Cognition · Quantitative Biology 2017-07-20 Guillem Via

Spiking networks that perform probabilistic inference have been proposed both as models of cortical computation and as candidates for solving problems in machine learning. However, the evidence for spike-based computation being in any way…

Neural and Evolutionary Computing · Computer Science 2017-10-12 Luziwei Leng , Roman Martel , Oliver Breitwieser , Ilja Bytschok , Walter Senn , Johannes Schemmel , Karlheinz Meier , Mihai A. Petrovici

We propose a model of an adaptive network of spiking neurons that gives rise to a hypernetwork of its dynamic states at the upper level of description. Left to itself, the network exhibits a sequence of transient clustering which relates to…

Adaptation and Self-Organizing Systems · Physics 2017-05-16 Oleg V. Maslennikov , Dmitry S. Shchapin , Vladimir I. Nekorkin

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…

Providing the neurobiological basis of information processing in higher animals, spiking neural networks must be able to learn a variety of complicated computations, including the generation of appropriate, possibly delayed reactions to…

Neurons and Cognition · Quantitative Biology 2016-06-30 Dominik Thalmeier , Marvin Uhlmann , Hilbert J. Kappen , Raoul-Martin Memmesheimer
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