Barbora Ondrejickova Methods for Dummies 23rd November 2016

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Presentation transcript:

Barbora Ondrejickova Methods for Dummies 23rd November 2016 1st-level analysis: Basis Functions, Parametric Modulation and Correlated Regressors Barbora Ondrejickova Methods for Dummies 23rd November 2016

Basis Functions The canonical haemodynamic response function Peak Brief Stimulus Undershoot Initial Peak

Finite impulse response Basis Functions Fourier basis Finite impulse response Gamma functions Informed basis set

Basis Functions Informed Basis Set

Basis Functions Canonical HRF: combination of 2 Gamma functions (best guess of BOLD response)

Basis Functions Canonical HRF: combination of 2 Gamma functions (best guess of BOLD response) Variability captured by Taylor expansion: Temporal derivative (account for differences in the latency of response)

Basis Functions Canonical HRF: combination of 2 Gamma functions (best guess of BOLD response) Variability captured by Taylor expansion: Temporal derivative (account for differences in the latency of response) Dispersion derivative (account for differences in the duration of response)

Basis Functions E.g. rapid motor response to faces Canonical + Temporal + Dispersion + FIR (Henson et al, 2001)

Basis Functions

Basis Functions

Parametric Modulation

Parametric Modulation (Gläscher & O’Doherty 2010)

Correlated Regressors If 2 parameters, A and B are correlated then the parametrically modulated regressors will also be correlated. Thus trial-by-trial changes in BOLD activation might be due to both the regressors, making it difficult to assign responsibility to one. I.e. they share descriptive variability.

Correlated Regressors

Take Home 1. Informed Basis Set 2. Parametric Modulation 3. Corralated regressors

Resources Special thanks to Dr Guillaume Flandin Sources: Previous MfD Lecture slides Lecture slides, Rik Hensen http://www.fil.ion.ucl.ac.uk/spm/course/slides11-oct/08_Event_Related_fMRI.ppt Lecture slides, Mona Gaverthttp://www.fil.ion.ucl.ac.uk/spm/course/slides15-oct/08_Experimental_Design.pdf Lectures, Sara Bengstsson and Christian Ruffhttp://www.fil.ion.ucl.ac.uk/spm/course/video/#Design MRC CBSU Wikihttp://imaging.mrc-cbu.cam.ac.uk/imaging/DesignEfficiency#Correlation_between_regressors Review article, Mumford et al. http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0126255 Henson et al (2001) http://www.fil.ion.ucl.ac.uk/spm/doc/papers/rnah_choice.pdfhttps:// Gläscher & O’Doherty (2010) www.researchgate.net/publication/227836854_Model-based_approaches_to_neuroimaging_Combining_reinforcement_learning_theory_with_fMRI_data