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Intrinsic brain activity is characterized by highly structured co-activations between different regions, whose origin is still under debate. In this paper, we address the question whether it is possible to unveil how the underlying…

In a recent paper, Bassett et al. (2011) have analyzed the static and dynamic organization of functional brain networks in humans. We here focus on the first claim made in this paper, which states that the static modular structure of such…

Quantitative Methods · Quantitative Biology 2011-06-30 Cedric E. Ginestet , Jonny O'Muircheartaigh , Owen G. O'Daly , Andrew Simmons

Deep neural network (DNN) models have demonstrated impressive performance in various domains, yet their application in cognitive neuroscience is limited due to their lack of interpretability. In this study we employ two structurally…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Murat Kucukosmanoglu , Javier O. Garcia , Justin Brooks , Kanika Bansal

The human brain forms functional networks on all spatial scales. Modern fMRI scanners allow to resolve functional brain data in high resolutions, allowing to study large-scale networks that relate to cognitive processes. The analysis of…

Neurons and Cognition · Quantitative Biology 2019-05-14 Melanie Weber , Johannes Stelzer , Emil Saucan , Alexander Naitsat , Gabriele Lohmann , Jürgen Jost

Diverse cognitive processes set different demands on locally segregated and globally integrated brain activity. However, it remains unclear how resting brains configure their functional organization to balance the demands on network…

Neurons and Cognition · Quantitative Biology 2022-04-25 Rong Wang , Mianxin Liu , Xinhong Cheng , Ying Wu , Andrea Hildebrandt , Changsong Zhou

A major challenge in neuroscience is posed by the need for relating the emerging dynamical features of brain activity with the underlying modular structure of neural connections, hierarchically organized throughout several scales. The…

Neurons and Cognition · Quantitative Biology 2016-06-03 Pablo Villegas , Jorge Hidalgo , Paolo Moretti , Miguel A. Muñoz

How human brain function emerges from structure has intrigued researchers for decades and numerous models have been put forward, yet none of them yields a close structure-function relation. Here we present a resonance model based on…

Neurons and Cognition · Quantitative Biology 2022-10-10 Yanjiang Wang , Jichao Ma , Jiebin Luo , Xue Chen , Yue Yuan

We introduce a novel recurrent neural network (RNN) approach to account for temporal dynamics and dependencies in brain networks observed via functional magnetic resonance imaging (fMRI). Our approach directly parameterizes temporal…

Neural and Evolutionary Computing · Computer Science 2018-08-28 R Devon Hjelm , Eswar Damaraju , Kyunghyun Cho , Helmut Laufs , Sergey M. Plis , Vince Calhoun

We report on simultaneous recordings from cells in all layers of visual cortex and models developed to capture the higher order structure of population spiking activity. Specifically, we use Ising, Restricted Boltzmann Machine (RBM) and…

Neurons and Cognition · Quantitative Biology 2013-01-03 Urs Köster , Jascha Sohl-Dickstein , Charles M. Gray , Bruno A. Olshausen

A central challenge in the computational modeling of neural dynamics is the trade-off between accuracy and simplicity. At the level of individual neurons, nonlinear dynamics are both experimentally established and essential for neuronal…

We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh-Nagumo (FHN) model. The two neuronal populations perceive…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 M. Masoliver , C. Masoller , A. Zakharova

In neuroscience, functional brain connectivity describes the connectivity between brain regions that share functional properties. Neuroscientists often characterize it by a time series of covariance matrices between functional measurements…

Methodology · Statistics 2019-07-09 Zhenhua Lin , Dehan Kong , Qiang Sun

In this paper, we examine the effects of correlated Gaussian noise on a two-dimensional neuronal network that is locally modeled by the Rulkov map. More precisely, we study the effects of the noise correlation on the variations of the mean…

Disordered Systems and Neural Networks · Physics 2010-09-23 Xiaojuan Sun , Matjaz Perc , Qishao Lu , Jürgen Kurths

How the information microscopically processed by individual neurons is integrated and used in organizing the behavior of an animal is a central question in neuroscience. The coherence of neuronal dynamics over different scales has been…

Disordered Systems and Neural Networks · Physics 2020-03-11 Takashi Hayakawa , Tomoki Fukai

Large-scale functional networks have been extensively studied using resting state functional magnetic resonance imaging. However, the pattern, organization, and function of fine-scale network activity remain largely unknown. Here we…

Neurons and Cognition · Quantitative Biology 2017-03-01 Kun-Han Lu , Jun Young Jeong , Haiguang Wen , Zhongming Liu

We apply the framework of optimal nonlinear control to steer the dynamics of a whole-brain network of FitzHugh-Nagumo oscillators. Its nodes correspond to the cortical areas of an atlas-based segmentation of the human cerebral cortex, and…

Neurons and Cognition · Quantitative Biology 2021-09-08 Teresa Chouzouris , Nicolas Roth , Caglar Cakan , Klaus Obermayer

A diverse white matter network and finely tuned neuronal membrane properties allow the brain to transition seamlessly between cognitive states. However, it remains unclear how static structural connections guide the temporal progression of…

Large-scale electrophysiological recordings now allow simultaneous monitoring of thousands of neurons across multiple brain regions, revealing structured variability in neural population activity. Understanding how these collective patterns…

Neurons and Cognition · Quantitative Biology 2026-03-12 Nicolas Béreux , Giovanni Catania , Aurélien Decelle , Francesca Mignacco , Alfonso de Jesús Navas Gómez , Beatriz Seoane

Studies of the dynamics of nonlinear recurrent neural networks often assume independent and identically distributed couplings, but large-scale connectomics data indicate that biological neural circuits exhibit markedly different…

Neurons and Cognition · Quantitative Biology 2025-10-28 David G. Clark , Owen Marschall , Alexander van Meegen , Ashok Litwin-Kumar

Modularity is an important topological attribute for functional brain networks. Recent studies have reported that modularity of functional networks varies not only across individuals being related to demographics and cognitive performance,…

Neurons and Cognition · Quantitative Biology 2018-10-05 Makoto Fukushima , Richard F. Betzel , Ye He , Marcel A. de Reus , Martijn P. van den Heuvel , Xi-Nian Zuo , Olaf Sporns