Dynamic modeling of neuronal responses in fMRI using cubature Kalman filtering

• Authors: HAVLÍČEK Martin; FRISTON Karl J.; JAN Jiří; BRÁZDIL Milan; CALHOUN Vince D.
• Year of publication: 2011
• Type: Article in Periodical
• Magazine / Source: NeuroImage
• MU Faculty or unit: Central European Institute of Technology
• Doi: http://dx.doi.org/10.1016/j.neuroimage.2011.03.005
• Field: Neurology, neurosurgery, neurosciences
• Keywords: STOCHASTIC DIFFERENTIAL-EQUATIONS; BOLD HEMODYNAMIC-RESPONSES; LOCAL LINEARIZATION METHOD; CEREBRAL BLOOD-FLOW; BRAIN ACTIVATION; BALLOON MODEL; SYSTEMS; SIGNALS; NOISE; SIMULATION
• Description: This paper presents a new approach to inverting (fitting) models of coupled dynamical systems based on state-of-the-art (cubature) Kalman filtering. Our scheme promises to provide a significant advance in characterizing the functional architectures of distributed neuronal systems, even in the absence of known exogenous (experimental) input; e.g., resting state fMRI studies and spontaneous fluctuations in electrophysiological studies. Importantly, unlike current Bayesian filters (e.g. DEM), our scheme provides estimates of time-varying parameters, which we will exploit in future work on the adaptation and enabling of connections in the brain.

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