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The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a pair of neurons (one excitatory and the…

chao-dyn · Physics 2007-05-23 Sitabhra Sinha

Fluctuations play a central role in many fields of physics, from quantum electrodynamics to statistical mechanics. In active matter physics, most models focus on thermal fluctuations due to a surrounding solvent. An alternative but much…

Soft Condensed Matter · Physics 2025-04-17 Sebastian Fehlinger , Kai Cui , Arooj Sajjad , Heinz Koeppl , Benno Liebchen

In the last century, most sensorimotor studies of cortical neurons relied on average firing rates. Rate coding is efficient for fast sensorimotor processing that occurs within a few seconds. Much less is known about the neural mechanisms…

Neurons and Cognition · Quantitative Biology 2026-05-01 Terrence J. Sejnowski

We suggest a mechanism based on spike time dependent plasticity (STDP) of synapses to store, retrieve and predict temporal sequences. The mechanism is demonstrated in a model system of simplified integrate-and-fire type neurons densely…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Thomas Nowotny , Misha I. Rabinovich , Henry D. I. Abarbanel

In this work we study the detection of weak stimuli by spiking neurons in the presence of certain level of noisy background neural activity. Our study has focused in the realistic assumption that the synapses in the network present…

Neurons and Cognition · Quantitative Biology 2009-06-04 Jorge F. Mejias , Joaquin J. Torres

Periodically forced, oscillatory fluid flows have been the focus of intense research for decades due to their richness as a nonlinear dynamical system and their relevance to applications in transportation, aeronautics, and energy…

Fluid Dynamics · Physics 2020-02-03 Benjamin Herrmann , Philipp Oswald , Richard Semaan , Steven L. Brunton

The computer vision community has explored dyadic interactions for atomic actions such as pushing, carrying-object, etc. However, with the advancement in deep learning models, there is a need to explore more complex dyadic situations such…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Abid Ali , Rui Dai , Ashish Marisetty , Guillaume Astruc , Monique Thonnat , Jean-Marc Odobez , Susanne Thümmler , Francois Bremond

The brain is formed by cortical regions that are associated with different cognitive functions. Neurons within the same region are more likely to connect than neurons in distinct regions, making the brain network to have characteristics of…

Neurons and Cognition · Quantitative Biology 2023-05-17 P. R. Protachevicz , F. S. Borges , A. M. Batista , M. S. Baptista , I. L. Caldas , E. E. N. Macau , E. L. Lameu

Neural circuits comprise multiple interconnected regions, each with complex dynamics. The interplay between local and global activity is thought to underlie computational flexibility, yet the structure of multiregion neural activity and its…

Neurons and Cognition · Quantitative Biology 2025-01-09 David G. Clark , Manuel Beiran

Neuromorphic networks can be described in terms of coarse-grained variables, where emergent sustained behaviours spontaneously arise if stochasticity is properly taken in account. For example it has been recently found that a directed…

Adaptation and Self-Organizing Systems · Physics 2020-01-23 Ilenia Apicella , Daniel Maria Busiello , Silvia Scarpetta , Samir Suweis

How spiking activity reverberates through neuronal networks, how evoked and spontaneous activity interact and blend, and how the combined activities represent external stimulation are pivotal questions in neuroscience. We simulated minimal…

Neurons and Cognition · Quantitative Biology 2018-03-01 Christoph Bauermeister , Hanna Keren , Jochen Braun

At functional scales, cortical behavior results from the complex interplay of a large number of excitable cells operating in noisy environments. Such systems resist to mathematical analysis, and computational neurosciences have largely…

Neurons and Cognition · Quantitative Biology 2014-03-05 Mathieu Galtier , Jonathan Touboul

All higher order central nervous systems exhibit spontaneous neural activity, though the purpose and mechanistic origin of such activity remains poorly understood. We explore the ignition and spread of collective spontaneous…

Neurons and Cognition · Quantitative Biology 2010-04-14 Michael I. Ham , Vadas Gintautas , Guenter W. Gross

Population-wide oscillations are ubiquitously observed in mesoscopic signals of cortical activity. In these network states a global oscillatory cycle modulates the propensity of neurons to fire. Synchronous activation of neurons has been…

Neurons and Cognition · Quantitative Biology 2017-07-04 Tobias Kühn , Moritz Helias

We derive from first principles a three-dimensional theory of self-propelled particle swarming in a viscous fluid environment. Our model predicts emergent collective behavior that depends critically on fluid opacity, mechanism of…

Soft Condensed Matter · Physics 2026-05-12 Yao-Li Chuang , M. R. D'Orsogna , T. Chou

The understanding of neural activity patterns is fundamentally linked to an understanding of how the brain's network architecture shapes dynamical processes. Established approaches rely mostly on deviations of a given network from certain…

Neurons and Cognition · Quantitative Biology 2014-09-19 Marc-Thorsten Huett , Marcus Kaiser , Claus C. Hilgetag

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

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

Complex networks often exhibit emergent behaviors, where simple dyadic interactions yield collective dynamics that cannot be explained by examining the system's units individually or in pairs. Understanding how redundant and synergistic…

Recent developments in the interfacing of neurons with silicon chips may pave the way for progress in constructing scalable neurocomputers. The assembly of synthetic neuronal networks with predefined synaptic connections and controlled…

Neurons and Cognition · Quantitative Biology 2009-01-16 Nikesh S. Dattani