Graph-Based Permutation Patterns for the Analysis of Task-Related fMRI Signals on DTI Networks in Mild Cognitive Impairment

Fuente: arXiv
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Autori principali: Fabila-Carrasco, John Stewart, Campbell-Cousins, Avalon, Parra-Rodriguez, Mario A., Escudero, Javier
Natura: Preprint
Pubblicazione: 2023
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author Fabila-Carrasco, John Stewart
Campbell-Cousins, Avalon
Parra-Rodriguez, Mario A.
Escudero, Javier
author_facet Fabila-Carrasco, John Stewart
Campbell-Cousins, Avalon
Parra-Rodriguez, Mario A.
Escudero, Javier
contents Permutation Entropy ($PE$) is a powerful nonlinear analysis technique for univariate time series. Recently, Permutation Entropy for Graph signals ($PEG$) has been proposed to extend PE to data residing on irregular domains. However, $PEG$ is limited as it provides a single value to characterise a whole graph signal. Here, we introduce a novel approach to evaluate graph signals \emph{at the vertex level}: graph-based permutation patterns. Synthetic datasets show the efficacy of our method. We reveal that dynamics in graph signals, undetectable with $PEG$, can be discerned using our graph-based patterns. These are then validated in DTI and fMRI data acquired during a working memory task in mild cognitive impairment, where we explore functional brain signals on structural white matter networks. Our findings suggest that graph-based permutation patterns in individual brain regions change as the disease progresses, demonstrating potential as a method of analyzing graph-signals at a granular scale.
format Preprint
id arxiv_https___arxiv_org_abs_2309_13083
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Graph-Based Permutation Patterns for the Analysis of Task-Related fMRI Signals on DTI Networks in Mild Cognitive Impairment
Fabila-Carrasco, John Stewart
Campbell-Cousins, Avalon
Parra-Rodriguez, Mario A.
Escudero, Javier
Neurons and Cognition
05C90, 92C42, 41A46
Permutation Entropy ($PE$) is a powerful nonlinear analysis technique for univariate time series. Recently, Permutation Entropy for Graph signals ($PEG$) has been proposed to extend PE to data residing on irregular domains. However, $PEG$ is limited as it provides a single value to characterise a whole graph signal. Here, we introduce a novel approach to evaluate graph signals \emph{at the vertex level}: graph-based permutation patterns. Synthetic datasets show the efficacy of our method. We reveal that dynamics in graph signals, undetectable with $PEG$, can be discerned using our graph-based patterns. These are then validated in DTI and fMRI data acquired during a working memory task in mild cognitive impairment, where we explore functional brain signals on structural white matter networks. Our findings suggest that graph-based permutation patterns in individual brain regions change as the disease progresses, demonstrating potential as a method of analyzing graph-signals at a granular scale.
title Graph-Based Permutation Patterns for the Analysis of Task-Related fMRI Signals on DTI Networks in Mild Cognitive Impairment
topic Neurons and Cognition
05C90, 92C42, 41A46
url https://arxiv.org/abs/2309.13083