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A perturbative method is developed for calculating the effects of recurrent synaptic interactions between neurons embedded in a network. A series expansion is constructed that converges for networks with noisy membrane potential and weak…

Disordered Systems and Neural Networks · Physics 2009-11-10 Patrick D. Roberts

Simultaneous recordings from multiple neural units allow us to investigate the activity of very large neural ensembles. To understand how large ensembles of neurons process sensory information, it is necessary to develop suitable…

Neurons and Cognition · Quantitative Biology 2013-05-30 Fernando Montani , Elena Phoka , Mariela Portesi , Simon R. Schultz

Synaptic connections are known to change dynamically. High-frequency presynaptic inputs induce decrease of synaptic weights. This process is known as short-term synaptic depression. The synaptic depression controls a gain for presynaptic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Narihisa Matsumoto , Daisuke Ide , Masataka Watanabe , Masato Okada

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

Stimulus from the environment that guides behavior and informs decisions is encoded in the firing rates of neural populations. Each neuron in the populations, however, does not spike independently: spike events are correlated from cell to…

Neurons and Cognition · Quantitative Biology 2012-07-24 Nicholas Cain , Eric Shea-Brown

In the absence of synaptic coupling, two or more neural oscillators may become synchronized by virtue of the statistical correlations in their noisy input streams. Recent work has shown that the degree of correlation transfer from input…

Dynamical Systems · Mathematics 2015-03-17 Aushra Abouzeid , Bard Ermentrout

The spatiotemporal patterns of neural dynamics are jointly shaped by directed structural interactions and heterogeneous intrinsic features of the neural components. Despite well-developed methods for estimating directionality in network…

Neurons and Cognition · Quantitative Biology 2025-10-07 Jiawen Chang , Zhuda Yang , Changsong Zhou

This article presents a mini-review about the progress in inferring monosynaptic connections from spike trains of multiple neurons over the past twenty years. First, we explain a variety of meanings of ``neuronal connectivity'' in different…

Neurons and Cognition · Quantitative Biology 2024-03-19 Ryota Kobayashi , Shigeru Shinomoto

Neurons in the intact brain receive a continuous and irregular synaptic bombardment from excitatory and inhibitory pre-synaptic neurons, which determines the firing activity of the stimulated neuron. In order to investigate the influence of…

Neurons and Cognition · Quantitative Biology 2017-05-23 Simona Olmi , David Angulo-Garcia , Alberto Imparato , Alessandro Torcini

A neural correlate of parametric working memory is a stimulus specific rise in neuron firing rate that persists long after the stimulus is removed. Network models with local excitation and broad inhibition support persistent neural…

Neurons and Cognition · Quantitative Biology 2013-10-15 Zachary P. Kilpatrick , Bard Ermentrout , Brent Doiron

Neural networks with equal excitatory and inhibitory feedback show high computational performance. They operate close to a critical point characterized by the joint activation of large populations of neurons. Yet, in macaque motor cortex we…

Disordered Systems and Neural Networks · Physics 2019-08-13 David Dahmen , Sonja Grün , Markus Diesmann , Moritz Helias

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

In the classic view of cortical rhythms, the interaction between excitatory pyramidal neurons (E) and inhibitory parvalbumin neurons (I) has been shown to be sufficient to generate gamma and beta band rhythms. However, it is now clear that…

Neurons and Cognition · Quantitative Biology 2025-10-27 Arnab Dey Sarkar , Bard Ermentrout

Sampling considerations limit the experimental conditions under which information theoretic analyses of neurophysiological data yield reliable results. We develop a procedure for computing the full temporal entropy and information of…

Biological Physics · Physics 2009-11-06 Simon R. Schultz , Stefano Panzeri

The bio-inspired integrate-fire-reset mechanism of spiking neurons constitutes the foundation for efficient processing in Spiking Neural Networks (SNNs). Recent progress in large models demands that spiking neurons support highly parallel…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Yanbin Huang , Man Yao , Yuqi Pan , Changze Lv , Siyuan Xu , Xiaoqing Zheng , Bo Xu , Guoqi Li

Understanding the functioning of a neural system in terms of its underlying circuitry is an important problem in neuroscience. Recent developments in electrophysiology and imaging allow one to simultaneously record activities of hundreds of…

Databases · Computer Science 2008-03-11 Debprakash Patnaik , P. S. Sastry , K. P. Unnikrishnan

Studies of human decision-making demonstrate that environmental regularities, such as natural image statistics or intentionally nonuniform stimulus probabilities, can be exploited to improve efficiency (termed `efficient-coding').…

Neurons and Cognition · Quantitative Biology 2025-09-30 Holly Kular , Robert Kim , John Serences , Nuttida Rungratsameetaweemana

We address the problem of finding patterns from multi-neuronal spike trains that give us insights into the multi-neuronal codes used in the brain and help us design better brain computer interfaces. We focus on the synchronous firings of…

Neural and Evolutionary Computing · Computer Science 2010-06-09 Raajay Viswanathan , P. S. Sastry , K. P. Unnikrishnan

To understand collective network behavior in the complex human brain, pairwise correlation networks alone are insufficient for capturing the high-order interactions that extend beyond pairwise interactions and play a crucial role in brain…

Neurons and Cognition · Quantitative Biology 2025-07-01 Qiang Li , Jingyu Liu , Vince D. Calhoun

Recent studies have shown how spiking networks can learn complex functionality through error-correcting plasticity, but the resulting structures and dynamics remain poorly studied. To elucidate how these models may link to observed dynamics…

Neurons and Cognition · Quantitative Biology 2025-08-19 Jonas Oberste-Frielinghaus , Anno C. Kurth , Julian Göltz , Laura Kriener , Junji Ito , Mihai A. Petrovici , Sonja Grün