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Cortical activity in-vivo displays relaxational time scales much longer than the membrane time constant of the neurons or the deactivation time of ionotropic synaptic conductances. The mechanisms responsible for such slow dynamics are not…

Disordered Systems and Neural Networks · Physics 2025-08-07 Ferdinand Tixidre , Gianluigi Mongillo , Alessandro Torcini

As experiments advance to record from tens of thousands of neurons, statistical physics provides a framework for understanding how collective activity emerges from networks of fine-scale correlations. While modeling these populations is…

Biological Physics · Physics 2024-12-25 David P. Carcamo , Christopher W. Lynn

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

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

A complex interplay of single-neuron properties and the recurrent network structure shapes the activity of cortical neurons. The single-neuron activity statistics differ in general from the respective population statistics, including…

Neurons and Cognition · Quantitative Biology 2021-11-02 Alexander van Meegen , Sacha J. van Albada

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

A major goal of neuroscience, statistical physics and nonlinear dynamics is to understand how brain function arises from the collective dynamics of networks of spiking neurons. This challenge has been chiefly addressed through large-scale…

Neurons and Cognition · Quantitative Biology 2015-06-23 Ernest Montbrió , Diego Pazó , Alex Roxin

The presence of correlated noise, arising from a mixture of independent fluctuations and a common noisy input shared across the neural population, is a ubiquitous feature of neural circuits, yet its impact on collective network dynamics…

Neurons and Cognition · Quantitative Biology 2026-01-16 Hui Wang , Chunming Zheng

Neural circuits exhibit complex activity patterns, both spontaneously and evoked by external stimuli. Information encoding and learning in neural circuits depend on how well time-varying stimuli can control spontaneous network activity. We…

Neurons and Cognition · Quantitative Biology 2023-01-11 Rainer Engelken , Alessandro Ingrosso , Ramin Khajeh , Sven Goedeke , L. F. Abbott

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

Perceptions and actions, thoughts and memories result from coordinated activity in hundreds or even thousands of neurons in the brain. It is an old dream of the physics community to provide a statistical mechanics description for these and…

Disordered Systems and Neural Networks · Physics 2024-09-04 Leenoy Meshulam , William Bialek

Neurons communicate with downstream systems via sparse and incredibly brief electrical pulses, or spikes. Using these events, they control various targets such as neuromuscular units, neurosecretory systems, and other neurons in connected…

Neurons and Cognition · Quantitative Biology 2026-03-17 Paolo Agliati , André Urbano , Pablo Lanillos , Nasir Ahmad , Marcel van Gerven , Sander Keemink

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

Biological Physics · Physics 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

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

The activity of a sparse network of leaky integrate-and-fire neurons is carefully revisited with reference to a regime of a bona-fide asynchronous dynamics. The study is preceded by a finite-size scaling analysis, carried out to identify a…

Neurons and Cognition · Quantitative Biology 2020-05-06 Ekkehard Ullner , Antonio Politi , Alessandro Torcini

Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code? Specifically, how variable are…

Neurons and Cognition · Quantitative Biology 2014-02-25 Guillaume Lajoie , Jean-Philippe Thivierge , Eric Shea-Brown

Plasticity is one of the most important properties of the nervous system, which enables animals to adjust their behavior to the ever-changing external environment. Changes in synaptic efficacy between neurons constitute one of the major…

Neurons and Cognition · Quantitative Biology 2018-01-23 Taishi Iwasaki , Hideitsu Hino , Masami Tatsuno , Shotaro Akaho , Noboru Murata

The activity of neurons within brain circuits has been ubiquitously reported to be correlated. The impact of these correlations on brain function has been extensively investigated. Correlations can in principle increase or decrease the…

Neurons and Cognition · Quantitative Biology 2025-07-24 Miguel Ibáñez-Berganza , Giulio Bondanelli , Stefano Panzeri

Neural population equations such as neural mass or field models are widely used to study brain activity on a large scale. However, the relation of these models to the properties of single neurons is unclear. Here we derive an equation for…

Neurons and Cognition · Quantitative Biology 2017-04-24 Tilo Schwalger , Moritz Deger , Wulfram Gerstner

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