Abstract
We explore a new paradigm for the analysis of event-related functional magnetic resonance images (fMRI) of brain activity. We regard the fMRI data as a very large set of time series x i (t), indexed by the position i of a voxel inside the brain. The decision that a voxel i 0 is activated is based not solely on the value of the fMRI signal at i 0, but rather on the comparison of all time series x i (t) in a small neighborhood \(W_{i_{\rm 0}}\) around i 0. We construct basis functions on which the projection of the fMRI data reveals the organization of the time-series x i (t) into “activated”, and “non-activated” clusters. These “clustering basis functions” are selected from large libraries of wavelet packets according to their ability to separate the fMRI time-series into the activated cluster and a non activated cluster. This principle exploits the intrinsic spatial correlation that is present in the data.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Magnus, K., Nichols, T., Poline, J.B., Holmes, A.: Statistical limitations in functional neuroimaging ii. signal detection and statistical inference. Phil. Trans. R. Soc. Lond. B, 1261–1281 (1999)
Vazquez, A., Noll, D.: Nonlinear aspects of the BOLD response in functional MRI. Human Brain Mapping 7, 108–118 (1998)
Golay, X., Kollias, S., Stoll, G., Meier, D., Valavanis, A., Boesiger, P.: A new correlation-based fuzzy logic clustering algorithm for fMRI. Magnetic Resonance in Medicine 40, 249–260 (1998)
Lange, N., Zeger, S.: Non-linear Fourier time series analysis for human brain mapping by functional magnetic resonance imaging. Appl. Statist. 46, 1–29 (1997)
Mitra, P., Pesaran, B.: Analysis of dynamic brain imaging data. Biophysical Journal 76, 691–708 (1999)
Bullmore, E., Long, C., Suckling, J., Fadili, J., Calvert, G., Zelaya, F., Carpenter, T., Brammer, M.: Colored noise and computational inference in neurophysiological (fMRI) time series analysis: resampling methods in time and wavelet domain. Human Brain Mapping 78, 61–78 (2001)
Raz, J., Dickerson, L., Turetsky, B.: A wavelet packet model of evoked potentials. Brain Lang 66(1), 61–88 (1999)
Coifman, R., Wickerhauser, M.: Entropy-based algorithms for best basis selection. IEEE Trans. Information Theory 38, 713–718 (1992)
Mallat, S.: A Wavelet Tour of Signal Processing. Academic Press, London (1999)
Saito, N.: Classification of geophysical acoustic waveforms using time-frequency atoms. In: Proc. Am. Statist. Assoc. Statist. Computing, pp. 322–327 (1996)
Glover, G.: Deconvolution of impulse response in event-related bold fMRI. NeuroImage, 416–429 (1999)
Friston, K., Jezzard, P., Turner, R.: Analysis of functional MRI time-series. Human Brain Mapping 1, 153–171 (1994)
McCarthy, G., Luby, M., Gore, J., Goldman-Rakic, P.: Infrequent events transiently activate human prefrontal and parietal cortex as measured by functional MRI. Journal of Neurophysiology 77, 1630–1634 (1997)
Zarahn, E., Aguire, G., D’Esposito, M.: Empirical analysis of BOLD fMRI statistics: I. Spatially unsmoothed data collected under null hypothesis conditons. Neuroimage 5, 179–197 (1997)
Fadili, J., Bullmore, E.: Wavelet-generalized least squares: a new BLU estimator of linear regression models with 1/f errors. NeuroImage 15, 217–232 (2002)
Wornell, G.: A Karhunen-Loève-like expansion for 1/f processes via wavelets. IEEE Trans. on Info. Theory 36, 859–861 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Meyer, F.G., Chinrungrueng, J. (2003). Analysis of Event-Related fMRI Data Using Best Clustering Bases. In: Taylor, C., Noble, J.A. (eds) Information Processing in Medical Imaging. IPMI 2003. Lecture Notes in Computer Science, vol 2732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45087-0_52
Download citation
DOI: https://doi.org/10.1007/978-3-540-45087-0_52
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40560-3
Online ISBN: 978-3-540-45087-0
eBook Packages: Springer Book Archive