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The most studies on functional connectivity have been done by analyzing the brain's hemodynamic response to a stimulation. On the other hand, the low-frequency spontaneous fluctuations in the blood oxygen level dependent (BOLD) signals of…

Neurons and Cognition · Quantitative Biology 2012-02-22 Wonsang You , Joerg Stadler

Fractals are self-similar and scale-invariant patterns found ubiquitously in nature. A lot of evidences implying fractal properties such as 1/f power spectrums have been also observed in resting state fMRI time series. To explain the…

Applications · Statistics 2012-08-07 Wonsang You , Jörg Stadler

Functional connectivity (FC) analysis of resting-state fMRI data provides a framework for characterizing brain networks and their association with participant-level covariates. Due to the high dimensionality of neuroimaging data, standard…

Methodology · Statistics 2025-08-18 Wei Zhao , Brian J. Reich , Emily C. Hector

Although there is increasing evidence of criticality in the brain, the processes that guide neuronal networks to reach or maintain criticality remain unclear. The present research examines the role of neuronal gain plasticity in time-series…

Neurons and Cognition · Quantitative Biology 2018-02-21 Ariadne de Andrade Costa , Mary Jean Amon , Olaf Sporns , Luis Favela

The brain's functional connectivity fluctuates over time instead of remaining steady in a stationary mode even during the resting state. This fluctuation establishes the dynamical functional connectivity that transitions in a non-random…

Neurons and Cognition · Quantitative Biology 2022-03-28 Shikuang Deng , Jingwei Li , B. T. Thomas Yeo , Shi Gu

We investigate the relationship of resting-state fMRI functional connectivity estimated over long periods of time with time-varying functional connectivity estimated over shorter time intervals. We show that using Pearson's correlation to…

Neurons and Cognition · Quantitative Biology 2016-09-08 Richard F. Betzel , Makoto Fukushima , Ye He , Xi-Nian Zuo , Olaf Sporns

Dynamic functional connectivity, as measured by the time-varying covariance of neurological signals, is believed to play an important role in many aspects of cognition. While many methods have been proposed, reliably establishing the…

Methodology · Statistics 2019-10-30 Lingge Li , Dustin Pluta , Babak Shahbaba , Norbert Fortin , Hernando Ombao , Pierre Baldi

Functional Magnetic Resonance Images acquired during resting-state provide information about the functional organization of the brain through measuring correlations between brain areas. Independent components analysis is the reference…

Neurons and Cognition · Quantitative Biology 2014-12-15 Alexandre Abraham , Elvis Dohmatob , Bertrand Thirion , Dimitris Samaras , Gael Varoquaux

Brain metabolism is controlled by complex regulation mechanisms. As part of their nature many complex systems show scaling behavior in their timeseries data. Corresponding scaling exponents can sometimes be used to characterize these…

Condensed Matter · Physics 2007-05-23 Stefan Thurner , Christian Windischberger , Ewald Moser , Markus Barth

Functional connectivity (FC) refers to the investigation of interactions between brain regions to understand integration of neural activity in several regions. FC is often estimated using functional magnetic resonance images (fMRI). There…

Applications · Statistics 2023-01-24 Nathan Tung , Jerome Sanes , Eli Upfal , Ani Eloyan

Causal relations among neuronal populations of the brain are studied through the so-called effective connectivity (EC) network. The latter is estimated from EEG or fMRI measurements, by inverting a generative model of the corresponding…

Systems and Control · Computer Science 2018-02-16 Giulia Prando , Mattia Zorzi , Alessandra Bertoldo , Alessandro Chiuso

We applied detrended fluctuation analysis, power spectral density, and eigenanalysis of detrended cross-correlations to investigate fMRI data representing a diurnal variation of working memory in four visual tasks: two verbal and two…

We propose the first fractal frequency mapping, which in a simple form enables to replicate complex neuronal effects. Unlike the conventional filters, which suppress or amplify the input spectral components according to the filter weights,…

Neurons and Cognition · Quantitative Biology 2025-08-08 Mariia Sorokina

Dynamic functional connectivity (DFC) analysis involves measuring correlated neural activity over time across multiple brain regions. Significant regional correlations among neural signals, such as those obtained from resting-state…

Functional connectivity refers to the temporal statistical relationship between spatially distinct brain regions and is usually inferred from the time series coherence/correlation in brain activity between regions of interest. In human…

Machine Learning · Statistics 2015-03-02 Shaurabh Nandy , Richard M. Golden

In this paper, we present a novel and versatile method to study the dynamics of resting-state fMRI brain connectivity with a high temporal sensitivity. Whereas most existing methods often rely on dividing the time-series into larger…

Neurons and Cognition · Quantitative Biology 2016-01-14 William Hedley Thompson , Peter Fransson

Functional connectomes capture brain interactions via synchronized fluctuations in the functional magnetic resonance imaging signal. If measured during rest, they map the intrinsic functional architecture of the brain. With task-driven…

Neurons and Cognition · Quantitative Biology 2013-04-16 Gaël Varoquaux , R. C. Craddock

We propose a novel stochastic network model, called Fractal Gaussian Network (FGN), that embodies well-defined and analytically tractable fractal structures. Such fractal structures have been empirically observed in diverse applications.…

Machine Learning · Statistics 2022-01-14 Subhroshekhar Ghosh , Krishnakumar Balasubramanian , Xiaochuan Yang

The continuous interaction between brain regions "at rest" defines the so-called resting state networks (RSN) which can be reconstructed from the analysis of functional magnetic resonance imaging (fMRI) data. What dynamical mechanism allows…

Neurons and Cognition · Quantitative Biology 2012-08-10 Dante R. Chialvo , Daniel Fraiman

Resting-state brain functional connectivity quantifies the synchrony between activity patterns of different brain regions. In functional magnetic resonance imaging (fMRI), each region comprises a set of spatially contiguous voxels at which…

Methodology · Statistics 2025-11-07 Ruobin Liu , Chao Zhang , Chau Tran , Sophie Achard , Wendy Meiring , Alexander Petersen
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