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Brain functions require both segregated processing of information in specialized circuits, as well as integration across circuits to perform high-level information processing. One possible way to implement these seemingly opposing demands…

The coherence resonance (CR) of globally coupled Hodgkin-Huxley neurons is studied. When the neurons are set in the subthreshold regime near the firing threshold, the additive noise induces limit cycles. The coherence of the system is…

Biological Physics · Physics 2009-10-31 Yuqing Wang , David T. W. Chik , Z. D. Wang

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

An analytical description of the response properties of simple but realistic neuron models in the presence of noise is still lacking. We determine completely up to the second order the firing statistics of a single and a pair of leaky…

Neurons and Cognition · Quantitative Biology 2009-11-13 Ruben Moreno-Bote , Nestor Parga

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…

For a system of type-I neurons bidirectionally coupled through a nonlinear feedback mechanism, we discuss the issue of noise-induced complete synchronization (CS). For the inputs to the neurons, we point out that the rate of change of…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Nishant Malik , B. Ashok , J. Balakrishnan

We study a reinforcement learning for temporal coding with neural network consisting of stochastic spiking neurons. In neural networks, information can be coded by characteristics of the timing of each neuronal firing, including the order…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Daichi Kimura , Yoshinori Hayakawa

Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that the output of some neurons becomes the input of others. The output should reproduce the main features of the input to avoid a…

Probability · Mathematics 2022-09-29 Petr Lansky , Federico Polito , Laura Sacerdote

The human brain is ultimately responsible for all thoughts and movements that the body produces. This allows humans to successfully interact with their environment. If the brain is not functioning properly many abilities of human can be…

Neurons and Cognition · Quantitative Biology 2018-07-09 Esmaeil Seraj

Animal brains exhibit remarkable efficiency in perception and action, while being robust to both external and internal perturbations. The means by which brains accomplish this remains, for now, poorly understood, hindering our understanding…

Neurons and Cognition · Quantitative Biology 2026-03-11 André Urbano , Pablo Lanillos , Sander Keemink

We study the synchronisation of neurons in a realistic model under the Hodgkin-Huxley dynamics. To focus on the role of the different locations of the excitatory synapses, we use two identical neurons where the set of input signals is…

Neurons and Cognition · Quantitative Biology 2024-09-17 Alessandro Fiasconaro , Michele Migliore

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

When brain signals are recorded in an electroencephalogram or some similar large-scale record of brain activity, oscillatory patterns are typically observed that are thought to reflect the aggregate electrical activity of the underlying…

Neurons and Cognition · Quantitative Biology 2013-06-04 Andre Nathan , Valmir C. Barbosa

In this paper, we investigated the neural spikes synchronisation in a neural network with synaptic plasticity and external perturbation. In the simulations the neural dynamics is described by the Hodgkin Huxley model considering chemical…

Learning is based on synaptic plasticity, which affects and is driven by neural activity. Because pre- and postsynaptic spiking activity is shaped by randomness, the synaptic weights follow a stochastic process, requiring a probabilistic…

Neurons and Cognition · Quantitative Biology 2026-01-14 Jakob Stubenrauch , Naomi Auer , Richard Kempter , Benjamin Lindner

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

Transient and equilibrium synchronizations in complex neuronal networks as a consequence of dynamics induced by having sources placed at specific neurons are investigated. The basic integrate-and-fire neuron is adopted, and the dynamics is…

Neurons and Cognition · Quantitative Biology 2008-02-18 Luciano da Fontoura Costa

Several aspects of the problem of asynchronous point-to-point communication without feedback are developed when the source is highly intermittent. In the system model of interest, the codeword is transmitted at a random time within a…

Information Theory · Computer Science 2012-07-10 Aslan Tchamkerten , Venkat Chandar , Gregory Wornell

We investigated the influence of efficacy of synaptic interaction on firing synchronization in excitatory neuronal networks. We found spike death phenomena, namely, the state of neurons transits from limit cycle to fixed point or transient…

Disordered Systems and Neural Networks · Physics 2009-11-13 Sheng-Jun Wang , Xin-Jian Xu , Zhi-Xi Wu , Zi-Gang Huang , Ying-Hai Wang

The mutual information between stimulus and spike-train response is commonly used to monitor neural coding efficiency, but neuronal computation broadly conceived requires more refined and targeted information measures of input-output joint…

Neurons and Cognition · Quantitative Biology 2015-04-21 Sarah E. Marzen , Michael R. DeWeese , James P. Crutchfield
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