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The detection of neuronal communities is addressed with basis on two important concepts from neuroscience: facilitation of neuronal firing and nearly simultaneous beginning of activation of sets of neurons. More specifically,…

Physics and Society · Physics 2008-01-29 Luciano da Fontoura Costa

Two recent experimental observations pose a challenge to many cortical models. First, the activity in the auditory cortex is sparse, and firing rates can be described by a lognormal distribution. Second, the distribution of non-zero…

Neurons and Cognition · Quantitative Biology 2008-09-10 Alexei Koulakov , Tomas Hromadka , Anthony M. Zador

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

Neurons and Cognition · Quantitative Biology 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

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

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

The synaptic connectivity of cortical networks features an overrepresentation of certain wiring motifs compared to simple random-network models. This structure is shaped, in part, by synaptic plasticity that promotes or suppresses…

Neurons and Cognition · Quantitative Biology 2014-12-23 Gabriel Koch Ocker , Ashok Litwin-Kumar , Brent Doiron

Spiking neural network models characterize the emergent collective dynamics of circuits of biological neurons and help engineer neuro-inspired solutions across fields. Most dynamical systems' models of spiking neural networks typically…

Computational Physics · Physics 2023-04-12 Georg Börner , Fabio Schittler Neves , Marc Timme

A critical mystery in neuroscience lies in determining how anatomical structure impacts the complex functional dynamics of human thought. How does large-scale brain circuitry constrain states of neuronal activity and transitions between…

Neurons and Cognition · Quantitative Biology 2016-07-08 Shi Gu , Matthew Cieslak , Benjamin Baird , Sarah F. Muldoon , Scott T. Grafton , Fabio Pasqualetti , Danielle S. Bassett

The brain's complex functionality emerges from network interactions that go beyond dyadic connections, with higher-order interactions significantly contributing to this complexity. One method of capturing higher-order interactions is…

Neurons and Cognition · Quantitative Biology 2024-06-11 Behdad Khodabandehloo , Payam Jannatdoust , Babak Nadjar Araabi

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Spontaneous brain activity, as observed in functional neuroimaging, has been shown to display reproducible structure that expresses brain architecture and carries markers of brain pathologies. An important view of modern neuroscience is…

Machine Learning · Statistics 2010-11-15 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

We consider a ring network of quadratic integrate-and-fire neurons with nonlocal synaptic and gap junction coupling. The corresponding neural field model supports solutions such as standing and travelling waves, and also lurching waves. We…

Adaptation and Self-Organizing Systems · Physics 2024-08-26 Oleh E. Omel'chenko , Carlo R. Laing

A simple model that replicates the dynamics of spiking and spiking-bursting activity of real biological neurons is proposed. The model is a two-dimensional map which contains one fast and one slow variable. The mechanisms behind generation…

Chaotic Dynamics · Physics 2009-11-07 Nikolai F. Rulkov

Higher brain function relies upon the ability to flexibly integrate information across specialized communities of brain regions, however it is unclear how this mechanism manifests over time. In this study, we use time-resolved network…

Recording simultaneous activity of hundreds of neurons is now possible. Existing methods can model such population activity, but do not directly reveal the computations used by the brain. We present a fully unsupervised method that models…

Neurons and Cognition · Quantitative Biology 2020-03-24 Connor Brennan , Alex Proekt

Maximum Entropy models can be inferred from large data-sets to uncover how collective dynamics emerge from local interactions. Here, such models are employed to investigate neurons recorded by multielectrode arrays in the human and monkey…

Neurons and Cognition · Quantitative Biology 2018-07-11 Trang-Anh Nghiem , Bartosz Telenczuk , Olivier Marre , Alain Destexhe , Ulisse Ferrari

This paper suggests a statistical framework for describing the relations between the physical and conceptual entities of a brain-like model. Features and concept instances are put into context, where the paper suggests that features may be…

Neural and Evolutionary Computing · Computer Science 2024-11-12 Kieran Greer

The study of functional brain connectivity (FC) is important for understanding the underlying mechanisms of many psychiatric disorders. Many recent analyses adopt graph convolutional networks, to study non-linear interactions between…

Neurons and Cognition · Quantitative Biology 2021-09-08 Simon Dahan , Logan Z. J. Williams , Daniel Rueckert , Emma C. Robinson

Realizations of low firing rates in neural networks usually require globally balanced distributions among excitatory and inhibitory links, while feasibility of temporal coding is limited by neuronal millisecond precision. We show that…

Neurons and Cognition · Quantitative Biology 2015-06-16 Roni Vardi , Amir Goldental , Hagar Marmari , Haya Brama , Edward Stern , Shira Sardi , Pinhas Sabo , Ido Kanter

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan