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Related Experiment Video

Updated: Jun 21, 2026

Assessing Cerebral Autoregulation via Oscillatory Lower Body Negative Pressure and Projection Pursuit Regression

Assessing Cerebral Autoregulation via Oscillatory Lower Body Negative Pressure and Projection Pursuit Regression

Published on: December 10, 2014

Inferring direct directed-information flow from multivariate nonlinear time series.

Michael Jachan¹, Kathrin Henschel, Jakob Nawrath

¹Center for Data Analysis and Modeling (FDM), University of Freiburg, and Department of Neurology, University Hospital of Freiburg, Breisacher Strasse 64, D-79098 Freiburg, Germany. michael.jachan@gmx.net

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 8, 2009

Summary

This summary is machine-generated.

We developed a new method, nonparametric partial directed coherence, to map connections in complex systems. This technique accurately identifies direct and indirect relationships in nonlinear dynamics, demonstrated with simulations and real-world tremor data.

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New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies

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Published on: October 6, 2023

Area of Science:

Nonlinear dynamics
Network science
Time series analysis

Background:

Understanding functional network topology from observational data is crucial in nonlinear dynamics.
Existing methods may struggle to differentiate direct and indirect connections accurately.

Purpose of the Study:

Introduce a novel method, nonparametric partial directed coherence (NPDC), for network topology estimation.
Enable the disentanglement of direct and indirect connections and their directions within complex systems.

Main Methods:

Developed the nonparametric partial directed coherence (NPDC) method.
Validated NPDC using simulations of synchronized nonlinear oscillators.
Applied NPDC to real-world essential tremor patient data.

Main Results:

NPDC successfully disentangles direct and indirect connections in simulated data.
The method demonstrates practical applicability on complex biological time-series data.
Effective estimation of functional network topology was achieved.

Conclusions:

Nonparametric partial directed coherence is a powerful tool for network analysis in nonlinear systems.
NPDC offers improved accuracy in identifying directional relationships compared to existing methods.
This technique has potential applications in neuroscience and other fields studying complex networks.