Smoothness Harmonic: A Graph-Based Approach to Reveal Spatiotemporal Patterns of Cortical Dynamics in fMRI Data

Despite fMRI data being interpreted as time-varying graphs in graph analysis, there has been more emphasis on learning sophisticated node embeddings and complex graph structures rather than providing a macroscopic description of cortical dynamics. In this paper, I introduce the notion of smoothness...

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Main Author: Wenjun Bai
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/12/7130
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author Wenjun Bai
author_facet Wenjun Bai
author_sort Wenjun Bai
collection DOAJ
description Despite fMRI data being interpreted as time-varying graphs in graph analysis, there has been more emphasis on learning sophisticated node embeddings and complex graph structures rather than providing a macroscopic description of cortical dynamics. In this paper, I introduce the notion of smoothness harmonics to capture the slowly varying cortical dynamics in graph-based fMRI data in the form of spatiotemporal smoothness patterns. These smoothness harmonics are rooted in the eigendecomposition of graph Laplacians, which reveal how low-frequency-dominated fMRI signals propagate across the cortex and through time. We showcase their usage in a real fMRI dataset to differentiate the cortical dynamics of children and adults while also demonstrating their empirical merit over the static functional connectomes in inter-subject and between-group classification analyses.
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spelling doaj.art-c49e773319d34a7e8a6bf906dbe9b9302023-11-18T09:09:27ZengMDPI AGApplied Sciences2076-34172023-06-011312713010.3390/app13127130Smoothness Harmonic: A Graph-Based Approach to Reveal Spatiotemporal Patterns of Cortical Dynamics in fMRI DataWenjun Bai0Department of Computational Brain Imaging, Neural Information Analysis Laboratories, Advanced Telecommunication Research Institute International (ATR), Kyoto 619-0288, JapanDespite fMRI data being interpreted as time-varying graphs in graph analysis, there has been more emphasis on learning sophisticated node embeddings and complex graph structures rather than providing a macroscopic description of cortical dynamics. In this paper, I introduce the notion of smoothness harmonics to capture the slowly varying cortical dynamics in graph-based fMRI data in the form of spatiotemporal smoothness patterns. These smoothness harmonics are rooted in the eigendecomposition of graph Laplacians, which reveal how low-frequency-dominated fMRI signals propagate across the cortex and through time. We showcase their usage in a real fMRI dataset to differentiate the cortical dynamics of children and adults while also demonstrating their empirical merit over the static functional connectomes in inter-subject and between-group classification analyses.https://www.mdpi.com/2076-3417/13/12/7130computational neurosciencefMRI datagraph analysisconnectome Laplacian analysiscortical dynamics
spellingShingle Wenjun Bai
Smoothness Harmonic: A Graph-Based Approach to Reveal Spatiotemporal Patterns of Cortical Dynamics in fMRI Data
Applied Sciences
computational neuroscience
fMRI data
graph analysis
connectome Laplacian analysis
cortical dynamics
title Smoothness Harmonic: A Graph-Based Approach to Reveal Spatiotemporal Patterns of Cortical Dynamics in fMRI Data
title_full Smoothness Harmonic: A Graph-Based Approach to Reveal Spatiotemporal Patterns of Cortical Dynamics in fMRI Data
title_fullStr Smoothness Harmonic: A Graph-Based Approach to Reveal Spatiotemporal Patterns of Cortical Dynamics in fMRI Data
title_full_unstemmed Smoothness Harmonic: A Graph-Based Approach to Reveal Spatiotemporal Patterns of Cortical Dynamics in fMRI Data
title_short Smoothness Harmonic: A Graph-Based Approach to Reveal Spatiotemporal Patterns of Cortical Dynamics in fMRI Data
title_sort smoothness harmonic a graph based approach to reveal spatiotemporal patterns of cortical dynamics in fmri data
topic computational neuroscience
fMRI data
graph analysis
connectome Laplacian analysis
cortical dynamics
url https://www.mdpi.com/2076-3417/13/12/7130
work_keys_str_mv AT wenjunbai smoothnessharmonicagraphbasedapproachtorevealspatiotemporalpatternsofcorticaldynamicsinfmridata