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Directed functional connectivity using dynamic graphical models

View ORCID ProfileSimon Schwab, Ruth Harbord, Valerio Zerbi, Lloyd Elliott, Soroosh Afyouni, Jim Q. Smith, Mark W. Woolrich, Stephen M. Smith, View ORCID ProfileThomas E. Nichols
doi: https://doi.org/10.1101/198887
Simon Schwab
1Big Data Institute, Li Ka Shing Centre for Health Information and Discovery, Nuffield Department of Population Health, University of Oxford, United Kingdom
2Department of Statistics, University of Warwick, United Kingdom
3Institute of Digital Healthcare, WMG, University of Warwick, United Kingdom
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  • For correspondence: simon.schwab@bdi.ac.ox.uk
Ruth Harbord
4MOAC Doctoral Training Centre, University of Warwick, United Kingdom
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Valerio Zerbi
5Neural Control of Movement Lab, Department of Health Sciences and Technology, ETH Zurich, Switzerland
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Lloyd Elliott
6Department of Statistics, University of Oxford, United Kingdom
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Soroosh Afyouni
1Big Data Institute, Li Ka Shing Centre for Health Information and Discovery, Nuffield Department of Population Health, University of Oxford, United Kingdom
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Jim Q. Smith
2Department of Statistics, University of Warwick, United Kingdom
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Mark W. Woolrich
7Oxford Centre for Functional MRI of the Brain, University of Oxford, Oxford, United Kingdom
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Stephen M. Smith
7Oxford Centre for Functional MRI of the Brain, University of Oxford, Oxford, United Kingdom
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Thomas E. Nichols
1Big Data Institute, Li Ka Shing Centre for Health Information and Discovery, Nuffield Department of Population Health, University of Oxford, United Kingdom
2Department of Statistics, University of Warwick, United Kingdom
3Institute of Digital Healthcare, WMG, University of Warwick, United Kingdom
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  • ORCID record for Thomas E. Nichols
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Abstract

There are a growing number of neuroimaging methods that model spatio-temporal patterns of brain activity to allow more meaningful characterizations of brain networks. This paper proposes dynamic graphical models (DGMs) for dynamic, directed functional connectivity. DGMs are a multivariate graphical model with time-varying coefficients that describe instantaneous directed relationships between nodes. A further benefit of DGMs is that networks may contain loops and that large networks can be estimated. We use network simulations, human resting-state fMRI (N = 500) to investigate the validity and reliability of the estimated networks. We simulate systematic lags of the hemodynamic response at different brain regions to investigate how these lags potentially bias directionality estimates. In the presence of such lag confounds (0.4–0.8 seconds offset between connected nodes), our method has a sensitivity of 72%–77% to detect the true direction. Stronger lag confounds have reduced sensitivity, but do not increase false positives (i.e., directionality estimates of the opposite direction). In human resting-state fMRI, we find the DMN has consistent influence on the cerebellar, the limbic and the auditory/temporal network, as well a consistent reciprocal relationship between the visual medial and visual lateral network. Finally, we apply the method in a small mouse fMRI sample and discover a highly plausible relationship between areas in the hippocampus feeding into the cingulate cortex. We provide a computationally efficient implementation of DGM as a free software package for R.

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Posted March 27, 2018.
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Directed functional connectivity using dynamic graphical models
Simon Schwab, Ruth Harbord, Valerio Zerbi, Lloyd Elliott, Soroosh Afyouni, Jim Q. Smith, Mark W. Woolrich, Stephen M. Smith, Thomas E. Nichols
bioRxiv 198887; doi: https://doi.org/10.1101/198887
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Directed functional connectivity using dynamic graphical models
Simon Schwab, Ruth Harbord, Valerio Zerbi, Lloyd Elliott, Soroosh Afyouni, Jim Q. Smith, Mark W. Woolrich, Stephen M. Smith, Thomas E. Nichols
bioRxiv 198887; doi: https://doi.org/10.1101/198887

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