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Causality or causation is a fundamental concept in epidemiology, vital for understanding the relationships between various factors and health outcomes. Despite its importance, there's no single, universally accepted definition of causality within the discipline. Drawing from a systematic review, causality in epidemiology encompasses several definitions, including production, necessary and sufficient, sufficient-component, counterfactual, and probabilistic models. Each has its strengths and...
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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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Application of Granger Causality Analysis of the Directed Functional Connection in Alzheimer's Disease and Mild Cognitive Impairment
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A Deep Spatio-Temporal Architecture for Dynamic ECN Analysis with Granger Causality based Causal Discovery.

Faming Xu1, Yiding Wang1, Gang Qu2

  • 1School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, China.

Pattern Recognition
|September 18, 2025
PubMed
Summary

This study introduces a novel deep learning architecture for analyzing dynamic causal influences in the brain. The method reveals how brain networks mature from simple to complex structures during development, enhancing cognitive abilities.

Keywords:
Dynamic causalityDynamic effective connectivity networksGranger causalitySpatio-temporal fusion

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Area of Science:

  • Neuroscience
  • Computational Neuroscience
  • Brain Network Analysis

Background:

  • Causal discovery methods are crucial for understanding brain connectivity but often neglect temporal dynamics and spatio-temporal data.
  • Dynamic effective connectivity networks (dECNs) capture evolving directed brain activity and causal influences, aiding in identifying individual differences and understanding brain function.

Purpose of the Study:

  • To propose a deep spatio-temporal fusion architecture for dynamic causality modeling in neuroimaging data.
  • To effectively incorporate spatio-temporal information for more accurate inference of dynamic causal relationships within the brain.

Main Methods:

  • A novel deep spatio-temporal fusion architecture was developed, comprising a dynamic causal deep encoder and a dynamic causal deep decoder.
  • The encoder integrates spatio-temporal information for dynamic causality modeling, while the decoder validates the discovered causal relationships.

Main Results:

  • The proposed method demonstrated superior performance in inferring dECNs using simulated data.
  • Analysis of the Philadelphia Neurodevelopmental Cohort (PNC) data revealed the dynamic evolution of directed brain connectivity.
  • Significant differences in dECNs were observed between children and young adults, indicating developmental changes.

Conclusions:

  • The developed deep learning architecture accurately models dynamic causality and infers dECNs by integrating spatio-temporal information.
  • Brain functional networks transition from undifferentiated to specialized systems during development, supporting enhanced cognitive abilities in young adults.
  • This work provides insights into brain network modularization and adaptation throughout human development.