Methods for Brain Connectivity Analysis with Applications to Rat Local Field Potential Recordings

Methods for Brain Connectivity Analysis with Applications to Rat Local Field Potential Recordings

Modeling the brain dependence network is central to understanding underlying neural mechanisms such as perception, action, and memory. In this study, we present a broad range of statistical methods for analyzing dependence in a brain network. Leveraging a combination of classical and cutting-edge ap...

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Main Authors: Anass B. El-Yaagoubi, Sipan Aslan, Farah Gomawi, Paolo V. Redondo, Sarbojit Roy, Malik S. Sultan, Mara S. Talento, Francine T. Tarrazona, Haibo Wu, Keiland W. Cooper, Norbert J. Fortin, Hernando Ombao
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Entropy
Subjects:
brain functional connectivity
dependence networks
Granger causality
local field potentials
spectral transfer entropy
topological data analysis
Online Access:https://www.mdpi.com/1099-4300/27/4/328
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Summary:Modeling the brain dependence network is central to understanding underlying neural mechanisms such as perception, action, and memory. In this study, we present a broad range of statistical methods for analyzing dependence in a brain network. Leveraging a combination of classical and cutting-edge approaches, we analyze multivariate hippocampal local field potential (LFP) time series data concentrating on the encoding of nonspatial olfactory information in rats. We present the strengths and limitations of each method in capturing neural dynamics and connectivity. Our analysis begins with exploratory techniques, including correlation, partial correlation, spectral matrices, and coherence, to establish foundational connectivity insights. We then investigate advanced methods such as Granger causality (GC), robust canonical coherence analysis, spectral transfer entropy (STE), and wavelet coherence to capture dynamic and nonlinear interactions. Additionally, we investigate the utility of topological data analysis (TDA) to extract multi-scale topological features and explore deep learning-based canonical correlation frameworks for connectivity modeling. This comprehensive approach offers an introduction to the state-of-the-art techniques for the analysis of dependence networks, emphasizing the unique strengths of various methodologies, addressing computational challenges, and paving the way for future research.
ISSN:1099-4300

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