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British Journal of Radiology (2004) 77, S167-S175
© 2004 British Institute of Radiology
doi: 10.1259/bjr/33553595

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Overview of fMRI analysis

S M Smith, MA, DPhil

Oxford University Centre for Functional MRI of the Brain (FMRIB), John Radcliffe Hospital, Headington, Oxford OX3 9DU, UK



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Figure 1. What are voxels? Shown here are surface renderings of 3D brain images. On the left is a high-resolution image, with small (1 mm x 1 mm x 1.5 mm) voxels; the voxels are too small to see. On the right is a low-resolution image of the same brain, with large (7 mm x 7 mm x 10 mm) voxels, clearly showing the voxels making up the image.

 


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Figure 2. An example time series at a strongly activated voxel from a visual stimulation experiment. Here the signal is significantly larger than the noise level. Periods of stimulation are alternated with periods of rest – a complete stimulation-rest cycle lasts 20 scans.

 


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Figure 3. Model waveform formation: the square waveform describes the input stimulation timing; the smoothed waveform results from convolving the first with the haemodynamic response function, a transformation which leaves the model looking much more like the measured data.

 


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Figure 4. Example design matrix with two explanatory variables; two different stimulations are being applied. Because they have different timings, they are modelled separately (Equation 2). Time is on the y axis, pointing downwards. Note that a column has two representations of the model's value at each point in time: the underlying intensity encodes the model's value at a particular time point, and so does the line graph.

 


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Figure 5. Example of modelling a non-linear interaction between stimuli. The first two EVs model the separate stimuli, whilst the third models the interaction, i.e. accounts for the "extra" response when both stimuli are applied together.

 


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Figure 6. (a) Rotation and (b) translation parameters estimated by a rigid-body motion correction procedure, as a function of scan number.

 


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Figure 7. Example slices from an example fMRI volume, (a) before and (b) after spatial filtering of 5 mm full width half maximum (FWHM).

 


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Figure 8. An example time-course from a single (activated) voxel. (a) Time-course before high-pass filtering. (b) After filtering, and plotted against the fitted model.

 


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Figure 9. The model, or design matrix, used in the general linear model analysis of the heat-warm experiment. EVs 1 and 5 model pain and warm, EVs 3 and 7 model conditioning to pain and warm, and the even numbered EVs are simply the temporal derivatives of the odd numbers; these allow phase shifts in the fitting.

 


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Figure 10. Various stages in the rendering of activation onto a high-resolution structural image.

 


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Figure 11. Comparison of (a) the standard space MNI 152 image and (b) the mean of the 18 subjects' high-resolution structural images after transformation into standard space. The mean of the subjects' MR "high-resolution" images is fairly blurred, due to the relatively low resolution of most of the structural scans taken for this study.

 


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Figure 12. Significant differences between the two subject groups in the pain-warm contrast.

 





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