The energy landscape underpinning module dynamics in the human brain connectome

Human brain dynamics can be viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing mental states. Many physically-inspired models of these dynamics define brain states based on instantaneous measurements of regiona...

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Main Authors: Arian Ashourvan, Shi Gu, Marcelo G. Mattar, Jean M. Vettel, Danielle S. Bassett
Format: Article
Language:English
Published: Elsevier 2017-08-01
Series:NeuroImage
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1053811917304676
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author Arian Ashourvan
Shi Gu
Marcelo G. Mattar
Jean M. Vettel
Danielle S. Bassett
author_facet Arian Ashourvan
Shi Gu
Marcelo G. Mattar
Jean M. Vettel
Danielle S. Bassett
author_sort Arian Ashourvan
collection DOAJ
description Human brain dynamics can be viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing mental states. Many physically-inspired models of these dynamics define brain states based on instantaneous measurements of regional activity. Yet, recent work in network neuroscience has provided evidence that the brain might also be well-characterized by time-varying states composed of locally coherent activity or functional modules. We study this network-based notion of brain state to understand how functional modules dynamically interact with one another to perform cognitive functions. We estimate the functional relationships between regions of interest (ROIs) by fitting a pair-wise maximum entropy model to each ROI's pattern of allegiance to functional modules. This process uses an information theoretic notion of energy (as opposed to a metabolic one) to produce an energy landscape in which local minima represent attractor states characterized by specific patterns of modular structure. The clustering of local minima highlights three classes of ROIs with similar patterns of allegiance to community states. Visual, attention, sensorimotor, and subcortical ROIs are well-characterized by a single functional community. The remaining ROIs affiliate with a putative executive control community or a putative default mode and salience community. We simulate the brain's dynamic transitions between these community states using a random walk process. We observe that simulated transition probabilities between basins are statistically consistent with empirically observed transitions in resting state fMRI data. These results offer a view of the brain as a dynamical system that transitions between basins of attraction characterized by coherent activity in groups of brain regions, and that the strength of these attractors depends on the ongoing cognitive computations.
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spelling doaj.art-2f202cdb000d42b7bd926af458f6c67f2022-12-21T18:53:49ZengElsevierNeuroImage1095-95722017-08-01157364380The energy landscape underpinning module dynamics in the human brain connectomeArian Ashourvan0Shi Gu1Marcelo G. Mattar2Jean M. Vettel3Danielle S. Bassett4Department of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA; U.S. Army Research Laboratory, Aberdeen Proving Ground, MD 21005, USADepartment of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA; Applied Mathematics and Computational Science Graduate Program, University of Pennsylvania, Philadelphia, PA 19104, USADepartment of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA; Department of Psychology, University of Pennsylvania, Philadelphia, PA 19104, USADepartment of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA; U.S. Army Research Laboratory, Aberdeen Proving Ground, MD 21005, USA; Department of Psychological & Brain Sciences, University of California, Santa Barbara, CA 93106, USADepartment of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA; Department of Electrical & Systems Engineering, University of Pennsylvania, Philadelphia, PA 19104, USA; Corresponding author at: Department of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA.Human brain dynamics can be viewed through the lens of statistical mechanics, where neurophysiological activity evolves around and between local attractors representing mental states. Many physically-inspired models of these dynamics define brain states based on instantaneous measurements of regional activity. Yet, recent work in network neuroscience has provided evidence that the brain might also be well-characterized by time-varying states composed of locally coherent activity or functional modules. We study this network-based notion of brain state to understand how functional modules dynamically interact with one another to perform cognitive functions. We estimate the functional relationships between regions of interest (ROIs) by fitting a pair-wise maximum entropy model to each ROI's pattern of allegiance to functional modules. This process uses an information theoretic notion of energy (as opposed to a metabolic one) to produce an energy landscape in which local minima represent attractor states characterized by specific patterns of modular structure. The clustering of local minima highlights three classes of ROIs with similar patterns of allegiance to community states. Visual, attention, sensorimotor, and subcortical ROIs are well-characterized by a single functional community. The remaining ROIs affiliate with a putative executive control community or a putative default mode and salience community. We simulate the brain's dynamic transitions between these community states using a random walk process. We observe that simulated transition probabilities between basins are statistically consistent with empirically observed transitions in resting state fMRI data. These results offer a view of the brain as a dynamical system that transitions between basins of attraction characterized by coherent activity in groups of brain regions, and that the strength of these attractors depends on the ongoing cognitive computations.http://www.sciencedirect.com/science/article/pii/S1053811917304676Energy landscapeMaximum entropy modelCommunity structureModularityFunctional brain networkGraph theory
spellingShingle Arian Ashourvan
Shi Gu
Marcelo G. Mattar
Jean M. Vettel
Danielle S. Bassett
The energy landscape underpinning module dynamics in the human brain connectome
NeuroImage
Energy landscape
Maximum entropy model
Community structure
Modularity
Functional brain network
Graph theory
title The energy landscape underpinning module dynamics in the human brain connectome
title_full The energy landscape underpinning module dynamics in the human brain connectome
title_fullStr The energy landscape underpinning module dynamics in the human brain connectome
title_full_unstemmed The energy landscape underpinning module dynamics in the human brain connectome
title_short The energy landscape underpinning module dynamics in the human brain connectome
title_sort energy landscape underpinning module dynamics in the human brain connectome
topic Energy landscape
Maximum entropy model
Community structure
Modularity
Functional brain network
Graph theory
url http://www.sciencedirect.com/science/article/pii/S1053811917304676
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