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Spiking activity of neurons engaged in learning and performing a task show complex spatiotemporal dynamics. While the output of recurrent network models can learn to perform various tasks, the possible range of recurrent dynamics that…

Neurons and Cognition · Quantitative Biology 2018-08-21 Christopher Kim , Carson Chow

Brains need to predict how the body reacts to motor commands. It is an open question how networks of spiking neurons can learn to reproduce the non-linear body dynamics caused by motor commands, using local, online and stable learning…

Neurons and Cognition · Quantitative Biology 2017-11-30 Aditya Gilra , Wulfram Gerstner

A single neuron is known to generate almost identical spike trains when the same fluctuating input is repeatedly applied. Here, we study the reliability of spike firing in a pulse-coupled network of oscillator neurons receiving fluctuating…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Tomoki Fukai

Spike synchrony, which occurs in various cortical areas in response to specific perception, action and memory tasks, has sparked a long-standing debate on the nature of temporal organization in cortex. One prominent view is that this type…

Neurons and Cognition · Quantitative Biology 2017-12-18 Clemens Korndörfer , Ekkehard Ullner , Jordi García-Ojalvo , Gordon Pipa

Research showed that, the information transmitted in biological neurons is encoded in the instants of successive action potentials or their firing rate. In addition to that, in-vivo operation of the neuron makes measurement difficult and…

Neurons and Cognition · Quantitative Biology 2018-01-10 Ozgur Doruk , Kechen Zhang

We use mean field theory to study the response properties of a simple randomly-connected model cortical network of leaky integrate-and-fire neurons with balanced excitation and inhibition. The formulation permits arbitrary temporal…

Disordered Systems and Neural Networks · Physics 2007-05-23 John Hertz , Barry Richmond , Kristian Nilsen

The background activity of a cortical neural network is modeled by a homogeneous integrate-and-fire network with unreliable inhibitory synapses. Numerical and analytical calculations show that the network relaxes into a stationary state of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wolfgang Kinzel

Starting from a spectral expansion of the Fokker-Plank equation for the membrane potential density in a network of spiking neurons, a low-dimensional dynamics of the collective firing rate is derived. As a result a $n$-order ordinary…

Neurons and Cognition · Quantitative Biology 2016-09-29 Maurizio Mattia

As the third generation of neural networks, spiking neural networks (SNNs) have recently gained widespread attention for their biological plausibility, energy efficiency, and effectiveness in processing neuromorphic datasets. To better…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Yang Li , Xinyi Zeng , Zhe Xue , Pinxian Zeng , Zikai Zhang , Yan Wang

Author summary: Synchronization of neuronal spiking in the brain is related to cognitive functions, such as perception, attention, and memory. It is therefore important to determine which properties of neurons influence their collective…

Neurons and Cognition · Quantitative Biology 2013-11-06 Josef Ladenbauer , Moritz Augustin , LieJune Shiau , Klaus Obermayer

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

Much progress has been made in uncovering the computational capabilities of spiking neural networks. However, spiking neurons will always be more expensive to simulate compared to rate neurons because of the inherent disparity in time…

Neurons and Cognition · Quantitative Biology 2013-10-31 Michael A. Buice , Carson C. Chow

Spiking Neural Networks (SNNs), inspired by the brain, are characterized by minimal power consumption and swift inference capabilities on neuromorphic hardware, and have been widely applied to various visual perception tasks. Current…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Chengjun Zhang , Yuhao Zhang , Jie Yang , Mohamad Sawan

The combination of new recording techniques in neuroscience and powerful inference methods recently held the promise to recover useful effective models, at the single neuron or network level, directly from observed data. The value of a…

Neurons and Cognition · Quantitative Biology 2018-04-09 Cristiano Capone , Guido Gigante , Paolo Del Giudice

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 large fully connected neuron networks, we study the dynamics of homogenous assemblies of interacting neurons described by time elapsed models. Under general assumptions on the firing rate which include the ones made in previous works…

Analysis of PDEs · Mathematics 2018-08-29 Stéphane Mischler , Cristobal Quiñinao , Qilong Weng

We consider the information transmission problem in neurons and its possible implications for learning in neural networks. Our approach is based on recent developments in statistical physics and complexity science. Combining sensory…

Neurons and Cognition · Quantitative Biology 2025-09-30 Siddharth Kackar

Spiking neural networks offer low energy consumption due to their event-driven nature. Beyond binary spike outputs, their intrinsic floating-point dynamics merit greater attention. Neuronal threshold levels and reset modes critically…

Neural and Evolutionary Computing · Computer Science 2026-01-26 Zeyu Huang , Wei Meng , Quan Liu , Kun Chen , Li Ma

We consider a threshold-crossing spiking process as a simple model for the activity within a population of neurons. Assuming that these neurons are driven by a common fluctuating input with Gaussian statistics, we evaluate the…

Neurons and Cognition · Quantitative Biology 2009-06-11 Yoram Burak , Sam Lewallen , Haim Sompolinsky

The response of neurons is highly sensitive to the stimulus. The stimulus can be associated with a direct injection in vitro experimentation (e.g., time dependent and independent inputs); or post-synaptic potentials resulting from the…

Neurons and Cognition · Quantitative Biology 2024-01-09 Afifurrahman , Mohd Hafiz Mohd , Farah Aini Abdullah
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