Automatic Identification of Functional Clusters in fMRI Data using Spatial Information

In independent component analysis (ICA) of functional magnetic resonance imaging (fMRI) data, extracting a large number of maximally independent components provides a more refined functional segmentation of brain. However, such segmentation does not per se establish the relationships among different brain networks, and also selecting and classifying components can be challenging. In this work, we present a multidimensional ICA (MICA) scheme to achieve automatic component clustering. In this MICA framework, stable components are hierarchically grouped into clusters based on spatial information and higher-order statistics, instead of typically used temporal information and second-order correlation. The final cluster membership is determined using a statistical hypothesis testing method. The experimental results from both simulated and real fMRI data sets show that the use of only spatial information with higher-order statistics leads to physiologically meaningful dependence structure of brain networks, which is consistently identified across various ICA model orders and algorithms. In addition, we observe that components related to artifacts, including cerebrospinal fluid (CSF), arteries, and large draining veins, demonstrate a higher degree of dependence among them and encouragingly distinguished from other components of interest using our MICA approach.

[1]  Stephen M Smith,et al.  Correspondence of the brain's functional architecture during activation and rest , 2009, Proceedings of the National Academy of Sciences.

[2]  J. Cardoso,et al.  Blind beamforming for non-gaussian signals , 1993 .

[3]  Michael I. Jordan,et al.  Beyond Independent Components: Trees and Clusters , 2003, J. Mach. Learn. Res..

[4]  Aapo Hyvärinen,et al.  Validating the independent components of neuroimaging time series via clustering and visualization , 2004, NeuroImage.

[5]  Yuan Zhou,et al.  Functional disintegration in paranoid schizophrenia using resting-state fMRI , 2007, Schizophrenia Research.

[6]  V. Calhoun,et al.  Aberrant "default mode" functional connectivity in schizophrenia. , 2007, The American journal of psychiatry.

[7]  N. Tzourio-Mazoyer,et al.  Automated Anatomical Labeling of Activations in SPM Using a Macroscopic Anatomical Parcellation of the MNI MRI Single-Subject Brain , 2002, NeuroImage.

[8]  Vince D. Calhoun,et al.  SimTB, a simulation toolbox for fMRI data under a model of spatiotemporal separability , 2012, NeuroImage.

[9]  Kent A. Kiehl,et al.  Abnormal hemodynamics in schizophrenia during an auditory oddball task , 2005, Biological Psychiatry.

[10]  G L Shulman,et al.  INAUGURAL ARTICLE by a Recently Elected Academy Member:A default mode of brain function , 2001 .

[11]  Rui Menezes,et al.  Mutual information: a measure of dependency for nonlinear time series , 2004 .

[12]  Moon,et al.  Estimation of mutual information using kernel density estimators. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  Aapo Hyvärinen,et al.  Fast and robust fixed-point algorithms for independent component analysis , 1999, IEEE Trans. Neural Networks.

[14]  J. Pekar,et al.  A method for making group inferences from functional MRI data using independent component analysis , 2001, Human brain mapping.

[15]  Teuvo Kohonen,et al.  Emergence of invariant-feature detectors in the adaptive-subspace self-organizing map , 1996, Biological Cybernetics.

[16]  Tulay Adali,et al.  A novel entropy estimator and its application to ICA , 2009, 2009 IEEE International Workshop on Machine Learning for Signal Processing.

[17]  J. Talairach,et al.  Co-Planar Stereotaxic Atlas of the Human Brain: 3-Dimensional Proportional System: An Approach to Cerebral Imaging , 1988 .

[18]  R. Pieper,et al.  Deciding final clusters: An approach using intra- and intercluster distances , 1981, Vegetatio.

[19]  Jean-Francois Mangin,et al.  What is the best similarity measure for motion correction in fMRI time series? , 2002, IEEE Transactions on Medical Imaging.

[20]  Tzyy-Ping Jung,et al.  Repeated decompositions reveal the stability of infomax decomposition of fMRI data , 2005, 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference.

[21]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.

[22]  Vince D. Calhoun,et al.  A method for functional network connectivity among spatially independent resting-state components in schizophrenia , 2008, NeuroImage.

[23]  Aapo Hyvärinen,et al.  Topographic Independent Component Analysis , 2001, Neural Computation.

[24]  N Filippini,et al.  Towards a functional hierarchy of resting-state networks , 2009, NeuroImage.

[25]  Vince D. Calhoun,et al.  An ICA-based method for the identification of optimal FMRI features and components using combined group-discriminative techniques , 2009, NeuroImage.

[26]  Seungjin Choi,et al.  Independent Component Analysis , 2009, Handbook of Natural Computing.

[27]  Bernhard Schölkopf,et al.  Comparative evaluation of Independent Components Analysis algorithms for isolating target-relevant information in brain-signal classification , 2005 .

[28]  Vince D. Calhoun,et al.  Independent subspace analysis with prior information for fMRI data , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[29]  Karl J. Friston,et al.  Spatial registration and normalization of images , 1995 .

[30]  Tülay Adali,et al.  Independent Component Analysis by Entropy Bound Minimization , 2010, IEEE Transactions on Signal Processing.

[31]  Paul J. Laurienti,et al.  An automated method for neuroanatomic and cytoarchitectonic atlas-based interrogation of fMRI data sets , 2003, NeuroImage.

[32]  James C. Bezdek,et al.  Some new indexes of cluster validity , 1998, IEEE Trans. Syst. Man Cybern. Part B.

[33]  V. Haughton,et al.  Frequencies contributing to functional connectivity in the cerebral cortex in "resting-state" data. , 2001, AJNR. American journal of neuroradiology.

[34]  Xiangyu Long,et al.  Functional segmentation of the brain cortex using high model order group PICA , 2009, Human brain mapping.

[35]  V. Calhoun,et al.  ‘ UNMIXING ’ FUNCTIONAL MAGNETIC RESONANCE IMAGING WITH INDEPENDENT COMPONENT ANALYSIS , 2005 .

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

[37]  V. Calhoun,et al.  Modulation of temporally coherent brain networks estimated using ICA at rest and during cognitive tasks , 2008, Human brain mapping.

[38]  Aapo Hyvärinen,et al.  Emergence of Phase- and Shift-Invariant Features by Decomposition of Natural Images into Independent Feature Subspaces , 2000, Neural Computation.

[39]  Jean-François Cardoso,et al.  Multidimensional independent component analysis , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[40]  V. Calhoun,et al.  Functional Brain Networks in Schizophrenia: A Review , 2009, Front. Hum. Neurosci..

[41]  Rex E. Jung,et al.  A Baseline for the Multivariate Comparison of Resting-State Networks , 2011, Front. Syst. Neurosci..

[42]  Vince D. Calhoun,et al.  Hierarchical and graphical analysis of fMRI network connectivity in healthy and schizophrenic groups , 2011, 2011 IEEE International Symposium on Biomedical Imaging: From Nano to Macro.