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Dynamic Causal Modelling (DCM) is the predominant method for inferring effective connectivity from neuroimaging data. In the 15 years since its introduction, the neural models and statistical routines in DCM have developed in parallel,…

Quantitative Methods · Quantitative Biology 2019-07-15 Peter Zeidman , Amirhossein Jafarian , Nadège Corbin , Mohamed L. Seghier , Adeel Razi , Cathy J. Price , Karl J. Friston

We present a didactic introduction to spectral Dynamic Causal Modelling (DCM), a Bayesian state-space modelling approach used to infer effective connectivity from non-invasive neuroimaging data. Spectral DCM is currently the most widely…

Neurons and Cognition · Quantitative Biology 2023-09-07 Leonardo Novelli , Karl Friston , Adeel Razi

Effective connectivity analysis in functional magnetic resonance imaging (fMRI) studies directional interactions among brain regions and experimental stimuli. Dynamic causal modeling (DCM) is a widely used method to estimate effective…

Methodology · Statistics 2026-05-15 Kaitlyn R. Fales , Hyebin Song , Nicole A. Lazar

Demystifying effective connectivity among neuronal populations has become the trend to understand the brain mechanisms of Parkinson's disease, schizophrenia, mild traumatic brain injury, and many other unlisted neurological diseases.…

Quantitative Methods · Quantitative Biology 2019-09-27 Po-Ya Hsu

This paper introduces a novel approach for modelling time-varying connectivity in neuroimaging data, focusing on the slow fluctuations in synaptic efficacy that mediate neuronal dynamics. Building on the framework of Dynamic Causal…

Neurons and Cognition · Quantitative Biology 2024-12-05 Johan Medrano , Karl J. Friston , Peter Zeidman

Dynamic networks have been increasingly used to characterize brain connectivity that varies during resting and task states. In such characterizations, a connectivity network is typically measured at each time point for a subject over a…

Methodology · Statistics 2023-03-23 Maoyu Zhang , Biao Cai , Wenlin Dai , Dehan Kong , Hongyu Zhao , Jingfei Zhang

Pathophysiolpgical modelling of brain systems from microscale to macroscale remains difficult in group comparisons partly because of the infeasibility of modelling the interactions of thousands of neurons at the scales involved. Here, to…

Neurons and Cognition · Quantitative Biology 2026-01-30 Kang You , Gary Green , Jian Zhang

Effective connectivity analysis provides an understanding of the functional organization of the brain by studying how activated regions influence one other. We propose a nonparametric Bayesian approach to model effective connectivity…

Applications · Statistics 2011-07-22 Sourabh Bhattacharya , Ranjan Maitra

Identifying a coupled dynamical system out of many plausible candidates, each of which could serve as the underlying generator of some observed measurements, is a profoundly ill posed problem that commonly arises when modelling real world…

Neurons and Cognition · Quantitative Biology 2019-09-17 Amirhossein Jafarian , Peter Zeidman , Vladimir Litvak , Karl Friston

We propose a geometric model-free causality measurebased on multivariate delay embedding that can efficiently detect linear and nonlinear causal interactions between time series with no prior information. We then exploit the proposed causal…

Neural and Evolutionary Computing · Computer Science 2016-07-26 Saba Emrani , Hamid Krim

Brain connectivity analysis based on magnetic resonance imaging is crucial for understanding neurological mechanisms. However, edge-based connectivity inference faces significant challenges, particularly the curse of dimensionality when…

Methodology · Statistics 2025-12-23 Zijing Li , Chenhao Zeng , Shufei Ge

We present a software tool -- extended Dynamic Causal Modelling for Phase Coupling (eDCM PC) -- that is able to estimate effective connectivity between any kind of oscillating systems, e.g. distant brain regions, using the phase information…

Data Analysis, Statistics and Probability · Physics 2023-07-06 Azamat Yeldesbay , Silvia Daun

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

Empirical Dynamic Modeling (EDM) is a nonlinear time series causal inference framework. The latest implementation of EDM, cppEDM, has only been used for small datasets due to computational cost. With the growth of data collection…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-24 Wassapon Watanakeesuntorn , Keichi Takahashi , Kohei Ichikawa , Joseph Park , George Sugihara , Ryousei Takano , Jason Haga , Gerald M. Pao

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

This paper describes an approach of using dynamic Structural Equation Modeling (SEM) analysis to estimate the connectivity networks from resting-state fMRI data measured by a multiband EPI sequence. Two structural equation models were…

Neurons and Cognition · Quantitative Biology 2017-04-03 Jiancheng Zhuang

Dynamic Causal Modeling (DCM) is a Bayesian framework for inferring on hidden (latent) neuronal states, based on measurements of brain activity. Since its introduction in 2003 for functional magnetic resonance imaging data, DCM has been…

Quantitative Methods · Quantitative Biology 2021-04-08 Inês Pereira , Stefan Frässle , Jakob Heinzle , Dario Schöbi , Cao Tri Do , Moritz Gruber , Klaas E. Stephan

Given data obtained under two sampling conditions, it is often of interest to identify variables that behave differently in one condition than in the other. We introduce a method for differential analysis of second-order behavior called…

Methodology · Statistics 2016-02-26 Kelly Bodwin , Kai Zhang , Andrew Nobel

Causal discovery uncovers complex relationships between variables, enhancing predictions, decision-making, and insights into real-world systems, especially in nonlinear multivariate time series. However, most existing methods primarily…

Machine Learning · Computer Science 2025-10-30 Wasim Ahmad , Joachim Denzler , Maha Shadaydeh

A pervasive challenge in neuroscience is testing whether neuronal connectivity changes over time due to specific causes, such as stimuli, events, or clinical interventions. Recent hardware innovations and falling data storage costs enable…

Neurons and Cognition · Quantitative Biology 2024-01-05 Johan Medrano , Karl J. Friston , Peter Zeidman
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