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Brain regions are often topographically connected: nearby locations within one brain area connect with nearby locations in another area. Mapping these connection topographies, or 'connectopies' in short, is crucial for understanding how…

Quantitative Methods · Quantitative Biology 2017-07-18 Koen V. Haak , Andre F. Marquand , Christian F. Beckmann

We consider exploratory methods for the discovery of cortical functional connectivity. Typically, data for the i-th subject (i=1...NS) is represented as an NVxNT matrix Xi, corresponding to brain activity sampled at NT moments in time from…

Methodology · Statistics 2011-03-17 Roberto D. Pascual-Marqui , Rolando J. Biscay-Lirio

In this paper we propose BVAR-connect, a variational inference approach to a Bayesian multi-subject vector autoregressive (VAR) model for inference on effective brain connectivity based on resting-state functional MRI data. The modeling…

Applications · Statistics 2021-06-18 Jeong Hwan Kook , Kelly A. Vaughn , Dana M. DeMaster , Linda Ewing-Cobbs , Marina Vannucci

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

The dynamics of a many-body system coupled to an external environment represents a fundamentally important problem. To this class of open quantum systems pertains the study of energy transport and dissipation, dephasing, quantum measurement…

Strongly Correlated Electrons · Physics 2009-11-13 R. D'Agosta , M. Di Ventra

Stimuli-responsive macromolecules display large conformational changes during their dynamics, sometimes switching states, and are an integral property for the development of soft functional materials. Here, we introduce a mean-field…

Soft Condensed Matter · Physics 2024-07-02 José López-Molina , Sebastien Groh , Joachim Dzubiella , Arturo Moncho-Jordá

The study of correlations between brain regions is an important chapter of the analysis of large-scale brain spatiotemporal dynamics. In particular, novel methods suited to extract dynamic changes in mutual correlations are needed. Here we…

Neurons and Cognition · Quantitative Biology 2018-10-11 Jeremi K. Ochab , Wojciech Tarnowski , and Maciej A. Nowak , Dante R. Chialvo

Tractography fiber clustering using diffusion MRI (dMRI) is a crucial method for white matter (WM) parcellation to enable analysis of brains structural connectivity in health and disease. Current fiber clustering strategies primarily use…

Image and Video Processing · Electrical Eng. & Systems 2025-11-04 Bocheng Guo , Jin Wang , Yijie Li , Junyi Wang , Mingyu Gao , Puming Feng , Yuqian Chen , Jarrett Rushmore , Nikos Makris , Yogesh Rathi , Lauren J O'Donnell , Fan Zhang

Sleep disorder is a serious global public health issue, with cognitive-emotional dysfunction being a core symptom. The analysis of multimodal MRI data provides an effective method for detecting sleep deprivation-induced neural network…

Neurons and Cognition · Quantitative Biology 2025-12-02 Mengyuan Liu , Jing Hu , Zhenzhen Ru , Ruomeng Quan , Xu Zhang , Ning Qiang , Jin Li

Understanding the complex neural activity dynamics is crucial for the development of the field of neuroscience. Although current functional MRI classification approaches tend to be based on static functional connectivity or cannot capture…

Machine Learning · Computer Science 2025-08-20 Amirali Arbab , Zeinab Davarani , Mehran Safayani

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

Cross-correlation functions (CCFs) are classical tools for studying lead-lag relationships between paired time series, but they are most often used descriptively rather than inferentially. Motivated by mouse experiments on gut-brain…

Applications · Statistics 2026-04-07 Bhaskar Ray , Tùng Bùi , William Matthew Howe , Srijan Sengupta

Alterations in functional brain connectivity characterize neurodegenerative disorders such as Alzheimer's disease (AD) and frontotemporal dementia (FTD). As a non-invasive and cost-effective technique, electroencephalography (EEG) is…

Applications · Statistics 2025-11-19 Paolo Victor Redondo , Raphaël Huser , Hernando Ombao

In this paper, we develop a mathematical framework for modeling the time-variant stochastic channels of diffusive mobile MC systems. In particular, we consider a diffusive mobile MC system consisting of a pair of transmitter and receiver…

Information Theory · Computer Science 2018-07-12 Arman Ahmadzadeh , Vahid Jamali , Robert Schober

Resting-state functional MRI (rs-fMRI) is a rich imaging modality that captures spontaneous brain activity patterns, revealing clues about the connectomic organization of the human brain. While many rs-fMRI studies have focused on static…

Machine Learning · Computer Science 2019-08-20 Meenakshi Khosla , Keith Jamison , Amy Kuceyeski , Mert R. Sabuncu

Functional connectivity is a fundamental property of neural networks that quantifies the segregation and integration of information between cortical areas. Due to mathematical complexity, a theory that could explain how the parameters of…

Neurons and Cognition · Quantitative Biology 2016-05-27 Diego Fasoli , Anna Cattani , Stefano Panzeri

We describe a novel method for modeling non-stationary multivariate time series, with time-varying conditional dependencies represented through dynamic networks. Our proposed approach combines traditional multi-scale modeling and network…

Methodology · Statistics 2017-12-25 Xinyu Kang , Apratim Ganguly , Eric D. Kolaczyk

We study a fully connected Hopfield-type associative memory network with online activity-dependent synaptic plasticity, where neural states and synaptic couplings coevolve during retrieval. Using the generating-functional formalism, we…

Disordered Systems and Neural Networks · Physics 2026-05-22 Yoshinori Hara , Yoshiyuki Kabashima

Modelling the dynamics of interactions in a neuronal ensemble is an important problem in functional connectivity research. One popular framework is latent factor models (LFMs), which have achieved notable success in decoding neuronal…

Methodology · Statistics 2023-05-18 Meixi Chen , Martin Lysy , David Moorman , Reza Ramezan

This paper investigates prefrontal cortex (PFC) functional connectivity based on synchronized electrical and hemodynamic responses associated with mental stress. The electrical response was based on alpha rhythmic of Electroencephalography…

Neurons and Cognition · Quantitative Biology 2021-03-09 Fares Al-Shargie