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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

Neurons in cortical circuits exhibit coordinated spiking activity, and can produce correlated synchronous spikes during behavior and cognition. We recently developed a method for estimating the dynamics of correlated ensemble activity by…

Neurons and Cognition · Quantitative Biology 2013-12-17 Hideaki Shimazaki

Over the brief time intervals available for processing retinal output, roughly 50 to 300 msec, the number of extra spikes generated by individual ganglion cells can be quite variable. Here, computer-generated spike trains were used to…

Neurons and Cognition · Quantitative Biology 2007-09-14 Garrett T. Kenyon

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

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 address the problem of identifying functional interactions among stochastic neurons with variable-length memory from their spiking activity. The neuronal network is modeled by a stochastic system of interacting point processes with…

Applications · Statistics 2025-07-01 Ricardo F. Ferreira , Matheus E. Pacola , Vitor G. Schiavone , Rodrigo F. O. Pena

It has long been debated whether information in the brain is coded at the rate of neuronal spiking or at the precise timing of single spikes. Although this issue is essential to the understanding of neural signal processing, it is not…

Neurons and Cognition · Quantitative Biology 2014-02-17 Yasuhiro Mochizuk , Shigeru Shinomoto

Does synchronization between action potentials from different neurons in the visual system play a substantial role in solving the binding problem? The binding problem can be studied quantitatively in the broader framework of the information…

Biological Physics · Physics 2007-05-23 Simon R. Schultz , Huw D. R. Golledge , Stefano Panzeri

A common way of studying the relationship between neural activity and behavior is through the analysis of neuronal spike trains that are recorded using one or more electrodes implanted in the brain. Each spike train typically contains…

Applications · Statistics 2011-04-15 Mengxin Li , Wei-Liem Loh

We demonstrate that the information contained in the spike occurrence times of a population of neurons can be broken up into a series of terms, each of which reflect something about potential coding mechanisms. This is possible in the…

Biological Physics · Physics 2007-05-23 S. Panzeri , S. R. Schultz

Two-photon imaging of calcium indicators allows simultaneous recording of responses of hundreds of neurons over hours and even days, but provides a relatively indirect measure of their spiking activity. Existing deconvolution algorithms…

Neurons and Cognition · Quantitative Biology 2016-01-05 Elad Ganmor , Michael Krumin , Luigi F. Rossi , Matteo Carandini , Eero P. Simoncelli

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

The collective dynamics of neural populations are often characterized in terms of correlations in the spike activity of different neurons. Open questions surround the basic nature of these correlations. In particular, what leads to…

Neurons and Cognition · Quantitative Biology 2013-06-25 David Leen , Eric Shea-Brown

Information needs to be appropriately encoded to be reliably transmitted over physical media. Similarly, neurons have their own codes to convey information in the brain. Even though it is well-known that neurons exchange information using a…

Neurons and Cognition · Quantitative Biology 2018-10-18 Chris G. Antonopoulos , Ezequiel Bianco-Martinez , Murilo S. Baptista

Advances in modern technology have enabled the simultaneous recording of neural spiking activity, which statistically can be represented by a multivariate point process. We characterise the second order structure of this process via the…

Methodology · Statistics 2024-04-30 Carla Pinkney , Carolina Euan , Alex Gibberd , Ali Shojaie

Recent advancements in miniaturized fluorescence microscopy have made it possible to investigate neuronal responses to external stimuli in awake behaving animals through the analysis of intra-cellular calcium signals. An on-going challenge…

Applications · Statistics 2022-01-28 Laura D'Angelo , Antonio Canale , Zhaoxia Yu , Michele Guindani

An essential step toward understanding neural circuits is linking their structure and their dynamics. In general, this relationship can be almost arbitrarily complex. Recent theoretical work has, however, begun to identify some broad…

Neurons and Cognition · Quantitative Biology 2017-03-10 Gabriel Koch Ocker , Yu Hu , Michael A. Buice , Brent Doiron , Krešimir Josić , Robert Rosenbaum , Eric Shea-Brown

A central question in neuroscience is to understand how noisy firing patterns are used to transmit information. Because neural spiking is noisy, spiking patterns are often quantified via pairwise correlations, or the probability that two…

Neurons and Cognition · Quantitative Biology 2017-05-29 Andrea K. Barreiro , Cheng Ly

Neurons are spatially extended cells; different parts of a neuron have specific voltage dynamics. Important types of neurons even generate different spikes in different parts of the cell. Neurons' inputs are also often spatially…

Neurons and Cognition · Quantitative Biology 2026-02-06 Audrey O'Brien Teasley , Gabriel Koch Ocker

We tackle a quantification of synchrony in a large ensemble of interacting neurons from the observation of spiking events. In a simulation study, we efficiently infer the synchrony level in a neuronal population from a point process…

Neurons and Cognition · Quantitative Biology 2025-03-25 Arkady Pikovsky , Michael Rosenblum