Algebraic relationship between the structural network’s Laplacian and functional network’s adjacency matrix is preserved in temporal lobe epilepsy subjects

The relationship between anatomic and resting state functional connectivity of large-scale brain networks is a major focus of current research. In previous work, we introduced a model based on eigen decomposition of the Laplacian which predicts the functional network from the structural network in h...

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Main Authors: Farras Abdelnour, Michael Dayan, Orrin Devinsky, Thomas Thesen, Ashish Raj
Format: Article
Language:English
Published: Elsevier 2021-03-01
Series:NeuroImage
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1053811920311903
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author Farras Abdelnour
Michael Dayan
Orrin Devinsky
Thomas Thesen
Ashish Raj
author_facet Farras Abdelnour
Michael Dayan
Orrin Devinsky
Thomas Thesen
Ashish Raj
author_sort Farras Abdelnour
collection DOAJ
description The relationship between anatomic and resting state functional connectivity of large-scale brain networks is a major focus of current research. In previous work, we introduced a model based on eigen decomposition of the Laplacian which predicts the functional network from the structural network in healthy brains. In this work, we apply the eigen decomposition model to two types of epilepsy; temporal lobe epilepsy associated with mesial temporal sclerosis, and MRI-normal temporal lobe epilepsy. Our findings show that the eigen relationship between function and structure holds for patients with temporal lobe epilepsy as well as normal individuals. These results suggest that the brain under TLE conditions reconfigures and rewires the fine-scale connectivity (a process which the model parameters are putatively sensitive to), in order to achieve the necessary structure-function relationship.
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spelling doaj.art-cf90f3a13d04403c870982c7cc6900742022-12-21T23:02:14ZengElsevierNeuroImage1095-95722021-03-01228117705Algebraic relationship between the structural network’s Laplacian and functional network’s adjacency matrix is preserved in temporal lobe epilepsy subjectsFarras Abdelnour0Michael Dayan1Orrin Devinsky2Thomas Thesen3Ashish Raj4Corresponding author.; Radiology and Biomedical Imaging Graduate Program in BioEngineering UCSF, San Francisco, CA, USAHuman Neuroscience Platform, Fondation Campus Biotech Geneva, Geneva, SwitzerlandNeurology, New York University, New York, NY, USADepartment of Physiology, Neuroscience & Behavioral Sciences, St. George’s University, Grenada, West IndiesRadiology and Biomedical Imaging Graduate Program in BioEngineering UCSF, San Francisco, CA, USAThe relationship between anatomic and resting state functional connectivity of large-scale brain networks is a major focus of current research. In previous work, we introduced a model based on eigen decomposition of the Laplacian which predicts the functional network from the structural network in healthy brains. In this work, we apply the eigen decomposition model to two types of epilepsy; temporal lobe epilepsy associated with mesial temporal sclerosis, and MRI-normal temporal lobe epilepsy. Our findings show that the eigen relationship between function and structure holds for patients with temporal lobe epilepsy as well as normal individuals. These results suggest that the brain under TLE conditions reconfigures and rewires the fine-scale connectivity (a process which the model parameters are putatively sensitive to), in order to achieve the necessary structure-function relationship.http://www.sciencedirect.com/science/article/pii/S1053811920311903EpilepsyGraph theoryBrain networksEigen decompositionFunctional networkStructural network
spellingShingle Farras Abdelnour
Michael Dayan
Orrin Devinsky
Thomas Thesen
Ashish Raj
Algebraic relationship between the structural network’s Laplacian and functional network’s adjacency matrix is preserved in temporal lobe epilepsy subjects
NeuroImage
Epilepsy
Graph theory
Brain networks
Eigen decomposition
Functional network
Structural network
title Algebraic relationship between the structural network’s Laplacian and functional network’s adjacency matrix is preserved in temporal lobe epilepsy subjects
title_full Algebraic relationship between the structural network’s Laplacian and functional network’s adjacency matrix is preserved in temporal lobe epilepsy subjects
title_fullStr Algebraic relationship between the structural network’s Laplacian and functional network’s adjacency matrix is preserved in temporal lobe epilepsy subjects
title_full_unstemmed Algebraic relationship between the structural network’s Laplacian and functional network’s adjacency matrix is preserved in temporal lobe epilepsy subjects
title_short Algebraic relationship between the structural network’s Laplacian and functional network’s adjacency matrix is preserved in temporal lobe epilepsy subjects
title_sort algebraic relationship between the structural network s laplacian and functional network s adjacency matrix is preserved in temporal lobe epilepsy subjects
topic Epilepsy
Graph theory
Brain networks
Eigen decomposition
Functional network
Structural network
url http://www.sciencedirect.com/science/article/pii/S1053811920311903
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