A Kullback-Leibler methodology for HRF estimation in fMRI data

Date

2010

Authors

Seghouane, Abd-Krim

Journal Title

Journal ISSN

Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

Abstract

Hemodynamic Response Function (HRF) estimation in functional Magnetic Resonance Imaging (fMRI) experiments is an important issue in functional neuroimages analysis. Indeed, when modeling each brain region as a stationary linear system characterized by its impulse response, the HRF describes the temporal dynamic of the brain region response during activations. Using the mixed-effects model, a new algorithm for maximum likelihood HRF estimation is derived. In this model, the random effect is used to better account for the variability of the drift. Contrary to the usual approaches, the proposed algorithm has the benefit of considering an unknown drift matrix. Estimations of the HRF and the hyperparameters are derived by alternating minimization of the Kullback-Leibler divergence between a model family of probability distributions defined using the mixed-effects model and a desired family of probability distributions constrained to be concentrated on the observed data. The relevance of proposed approach is demonstrated both on simulated and real data.

Description

Keywords

Keywords: algorithm; article; brain; brain mapping; computer simulation; hemodynamics; human; image processing; methodology; normal distribution; nuclear magnetic resonance imaging; pathology; probability; regression analysis; reproducibility; statistical model; Al

Citation

Source

Proceedings of IEEE International Conference of the Engineering in Medicine and Biology Society (EMBS 2010)

Type

Conference paper

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Restricted until

2037-12-31