This toolbox allows to simulate interactions between neural mass potentials (resonating at 40Hz) in the structural connectome. Here, a single brain region is seen as an oscillator whose dynamics is explained by a Stuart Landau Equation (Hopf Bifurcation including time delay).
This repository contains the analysis pipeline for a cross-condition comparison of whole-brain dynamics between healthy controls (HC) and unmedicated Major Depressive Disorder (MDD), using three independent estimation approaches applied to the Stuart-Landau oscillator — the normal form of a supercritical Hopf bifurcation.
Wind Dynamics Experiment using UKF and Harmonic Oscillator Models, UKF Parameter Estimation on Geophysical Oscillatory Systems
This project aims to leverage nonlinear system identification techniques, focusing on the Unscented Kalman Filter (UKF), to enhance modeling and understanding of neural dynamics from fMRI data, addressing the direct challenges of noise and indirect measurement.
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