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Knowing brain connectivity is of great importance both in basic research and for clinical applications. We are proposing a method to infer directed connectivity from zero-lag covariances of neuronal activity recorded at multiple sites. This…

Neurons and Cognition · Quantitative Biology 2018-04-10 Jonathan Schiefer , Alexander Niederbühl , Volker Pernice , Carolin Lennartz , Pierre LeVan , Jürgen Henning , Stefan Rotter

Identifying dynamic transactions between brain regions has become increasingly important. Measurements within and across brain structures, demonstrating the occurrence of bursts of beta/gamma oscillations only during one specific phase of…

Neurons and Cognition · Quantitative Biology 2016-03-21 RD Pascual-Marqui , P Faber , T Kinoshita , Y Kitaura , K Kochi , P Milz , K Nishida , M Yoshimura

Human brain dynamics can be profitably viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing preferred mental states. Many physically-inspired models of…

Neurons and Cognition · Quantitative Biology 2016-09-06 Arian Ashourvan , Shi Gu , Marcelo G. Mattar , Jean M. Vettel , Danielle S. Bassett

Functional magnetic resonance imaging (fMRI) enables non-invasive brain disorder classification by capturing blood-oxygen-level-dependent (BOLD) signals. However, most existing methods rely on functional connectivity (FC) via Pearson…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Guoqi Yu , Xiaowei Hu , Angelica I. Aviles-Rivero , Anqi Qiu , Shujun Wang

To understand the biological characteristics of neurological disorders with functional connectivity (FC), recent studies have widely utilized deep learning-based models to identify the disease and conducted post-hoc analyses via explainable…

Machine Learning · Computer Science 2023-10-09 Eunsong Kang , Da-woon Heo , Jiwon Lee , Heung-Il Suk

Analysis of brain connectivity is important for understanding how information is processed by the brain. We propose a novel Bayesian vector autoregression (VAR) hierarchical model for analyzing brain connectivity in a resting-state fMRI…

Applications · Statistics 2021-12-09 Bertil Wegmann , Anders Lundquist , Anders Eklund , Mattias Villani

Functional magnetic resonance imaging or functional MRI (fMRI) is a very popular tool used for differing brain regions by measuring brain activity. It is affected by physiological noise, such as head and brain movement in the scanner from…

Methodology · Statistics 2023-10-30 Fangyijie Wang , Michael Salter-Townshend

Network control theory has recently emerged as a promising approach for understanding brain function and dynamics. By operationalizing notions of control theory for brain networks, it offers a fundamental explanation for how brain dynamics…

Quantitative Methods · Quantitative Biology 2020-03-20 Shikuang Deng , Shi Gu

The relationship of network structure and dynamics is one of most extensively investigated problems in the theory of complex systems of the last years. Understanding this relationship is of relevance to a range of disciplines -- from…

The idea to estimate the statistical interdependence among (interacting) brain regions has motivated numerous researchers to investigate how the resulting connectivity patterns and networks may organize themselves under any conceivable…

Neurons and Cognition · Quantitative Biology 2021-02-03 Matteo Fraschini , Simone Maurizio La Cava , Luca Didaci , Luigi Barberini

The brain may be thought of as a many-body architecture with a spatio-temporal dynamics described by neuronal structures. The oscillatory nature of brain activity allows these structures (nodes) to be described as a set of coupled…

Neurons and Cognition · Quantitative Biology 2021-02-03 J. Mendoza-Ruiz , C. E. Alonso-Malaver , M. Valderrama , O. A. Rosso , J. H. Martínez

We introduce a novel framework that integrates Hodge decomposition with Filtered Average Short-Term (FAST) functional connectivity to analyze dynamic functional connectivity (DFC) in EEG signals. This method leverages graph-based topology…

Signal Processing · Electrical Eng. & Systems 2025-02-10 Om Roy , Yashar Moshfeghi , Jason Smith , Agustin Ibanez , Mario A. Parra , Keith M. Smith

To provide adequate multivariate measures of information flow between neural structures, modified expressions of Partial Directed Coherence (PDC) and Directed Transfer Function (DTF), two popular multivariate connectivity measures employed…

Statistics Theory · Mathematics 2010-12-03 Daniel Yasumasa Takahashi , Luiz Antonio Baccalá , Koichi Sameshima

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

Resting-state functional magnetic resonance imaging (rs-fMRI)-derived functional connectivity patterns have been extensively utilized to delineate global functional organization of the human brain in health, development, and…

Quantitative Methods · Quantitative Biology 2020-10-02 Li Xiao , Biao Cai , Gang Qu , Julia M. Stephen , Tony W. Wilson , Vince D. Calhoun , Yu-Ping Wang

Robust characterization of dynamic causal interactions in multivariate biomedical signals is essential for advancing computational and algorithmic methods in biomedical imaging. Conventional approaches, such as Dynamic Bayesian Networks…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Farwa Abbas , Wei Dai , Zoran Cvetkovic , Verity McClelland

We propose the Neural Functional Alignment Space (NFAS), a brain-referenced representational framework for characterizing artificial neural networks on equal functional grounds. NFAS departs from conventional alignment approaches that rely…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Ruiyu Yan , Hanqi Jiang , Yi Pan , Xiaobo Li , Tianming Liu , Xi Jiang , Lin Zhao

Severe traumatic brain injury can lead to disorders of consciousness (DOC) characterized by deficit in conscious awareness and cognitive impairment including coma, vegetative state, minimally consciousness, and lock-in syndrome. Of crucial…

Neurons and Cognition · Quantitative Biology 2013-10-14 Verónica Mäki-Marttunen , Ibai Diez , Jesus M. Cortes , Dante R. Chialvo , Mirta Villarreal

Cross-frequency coupling (CFC) has been proposed to coordinate neural dynamics across spatial and temporal scales. Despite its potential relevance for understanding healthy and pathological brain function, the standard CFC analysis and…

Neurons and Cognition · Quantitative Biology 2014-10-08 Juhan Aru , Jaan Aru , Viola Priesemann , Michael Wibral , Luiz Lana , Gordon Pipa , Wolf Singer , Raul Vicente

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
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