Multiresolution fMRI activation detection using translation invariant wavelet transform and statistical analysis based on resampling

A new method is proposed for activation detection in event-related functional magnetic resonance imaging (fMRI). The method is based on the analysis of selected resolution levels (a subspace) in the translation invariant wavelet transform (TIWT) domain. Using a priori knowledge about the activation signal and trends, we analyze their power in different resolution levels in the TIWT domain and select an optimal set of resolution levels. A randomization-based statistical test is then applied in the wavelet domain for activation detection. This approach suppresses the effects of trends and enhances the detection sensitivity. In addition, since TIWT is insensitive to signal translations, the power analysis is robust with respect to signal shifts. The randomization test alleviates the need for assumptions about fMRI noise. The method has been applied to simulated and experimental fMRI datasets. Comparisons have been made between the results of the proposed method, a similar method in the time domain and the cross-correlation method. The proposed method has shown superior sensitivity compared to the other methods.

[1]  G. Battle A block spin construction of ondelettes. Part I: Lemarié functions , 1987 .

[2]  E C Wong,et al.  Processing strategies for time‐course data sets in functional mri of the human brain , 1993, Magnetic resonance in medicine.

[3]  Karl J. Friston,et al.  Analysis of functional MRI time‐series , 1994, Human Brain Mapping.

[4]  Karl J. Friston,et al.  Statistical parametric maps in functional imaging: A general linear approach , 1994 .

[5]  Michael Unser,et al.  Texture classification and segmentation using wavelet frames , 1995, IEEE Trans. Image Process..

[6]  J. Kärger,et al.  Diffusion and Perfusion Magnetic Resonance Imaging: Application to Functional MRI , 1996 .

[7]  J Xiong,et al.  Assessment and optimization of functional MRI analyses , 1996, Human brain mapping.

[8]  E. Bullmore,et al.  Statistical methods of estimation and inference for functional MR image analysis , 1996, Magnetic resonance in medicine.

[9]  Hervé Carfantan,et al.  Time-invariant orthonormal wavelet representations , 1996, IEEE Trans. Signal Process..

[10]  J D Watson,et al.  Nonparametric Analysis of Statistic Images from Functional Mapping Experiments , 1996, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[11]  C. Burrus,et al.  Introduction to Wavelets and Wavelet Transforms: A Primer , 1997 .

[12]  I. Johnstone,et al.  Wavelet Threshold Estimators for Data with Correlated Noise , 1997 .

[13]  R W Cox,et al.  Software tools for analysis and visualization of fMRI data , 1997, NMR in biomedicine.

[14]  A. Aldroubi,et al.  Wavelets in Medicine and Biology , 1997 .

[15]  Michael Unser,et al.  Statistical analysis of functional MRI data in the wavelet domain , 1998, IEEE Transactions on Medical Imaging.

[16]  Karl J. Friston,et al.  Nonlinear event‐related responses in fMRI , 1998, Magnetic resonance in medicine.

[17]  Su Ruan,et al.  Unsupervised fuzzy clustering analysis of fMRI series , 1998, Proceedings of the 20th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Vol.20 Biomedical Engineering Towards the Year 2000 and Beyond (Cat. No.98CH36286).

[18]  R. Buxton,et al.  Dynamics of blood flow and oxygenation changes during brain activation: The balloon model , 1998, Magnetic resonance in medicine.

[19]  Zhi-Pei Liang,et al.  Joint spatiotemporal statistical analysis of functional MRI data , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[20]  I Kanno,et al.  Statistical methods for detecting activated regions in functional MRI of the brain. , 1998, Magnetic resonance imaging.

[21]  S Makeig,et al.  Analysis of fMRI data by blind separation into independent spatial components , 1998, Human brain mapping.

[22]  Dong Wei,et al.  Enhancement of Compressed Images by Optimal Shift-Invariant Wavelet Packet Basis , 1998, J. Vis. Commun. Image Represent..

[23]  F E Turkheimer,et al.  Multiresolution Analysis of Emission Tomography Images in the Wavelet Domain , 1999, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[24]  Thomas E. Nichols,et al.  Statistical limitations in functional neuroimaging. II. Signal detection and statistical inference. , 1999, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[25]  Iwao Kanno,et al.  Activation detection in functional MRI using subspace modeling and maximum likelihood estimation , 1999, IEEE Transactions on Medical Imaging.

[26]  T. Yoshiura,et al.  Functional MRI study of auditory and visual oddball tasks. , 1999, Neuroreport.

[27]  A. Andersen,et al.  Principal component analysis of the dynamic response measured by fMRI: a generalized linear systems framework. , 1999, Magnetic resonance imaging.

[28]  Manuel Desco,et al.  Increased Sensitivity and Position Accuracy in the Detection of Brain Activation by fMRI using Multiscale Analysis , 1999 .

[29]  D. P. Russell,et al.  Treatment of baseline drifts in fMRI time series analysis. , 1999, Journal of computer assisted tomography.

[30]  R. Goebel,et al.  The functional neuroanatomy of target detection: an fMRI study of visual and auditory oddball tasks. , 1999, Cerebral cortex.

[31]  Karl J. Friston,et al.  Nonlinear Responses in fMRI: The Balloon Model, Volterra Kernels, and Other Hemodynamics , 2000, NeuroImage.

[32]  X Hu,et al.  Wavelet transform‐based Wiener filtering of event‐related fMRI data , 2000, Magnetic resonance in medicine.

[33]  C. F. Beckmann,et al.  Artefact detection in FMRI data using independent component analysis , 2000, NeuroImage.

[34]  P. Skudlarski,et al.  Event-related fMRI of auditory and visual oddball tasks. , 2000, Magnetic resonance imaging.

[35]  Lawrence R. Frank,et al.  Identifying meaningful components in independent component analysis , 2000, NeuroImage.

[36]  Matthew K. Belmonte,et al.  Permutation testing made practical for functional magnetic resonance image analysis , 2001, IEEE Transactions on Medical Imaging.

[37]  T A Carpenter,et al.  Colored noise and computational inference in neurophysiological (fMRI) time series analysis: Resampling methods in time and wavelet domains , 2001, Human brain mapping.

[38]  B. Biswal,et al.  Use of Jackknife Resampling Techniques to Estimate the Confidence Intervals of fMRI Parameters , 2001, Journal of computer assisted tomography.

[39]  Thomas E. Nichols,et al.  Nonparametric permutation tests for functional neuroimaging: A primer with examples , 2002, Human brain mapping.

[40]  C. Pesquetz TIME INVARIANT ORTHONORMAL WAVELETREPRESENTATIONSJ , 2022 .