Analyzing functional brain images in a probabilistic atlas: a validation of subvolume thresholding.

PURPOSE The development of structural probabilistic brain atlases provides the framework for new analytic methods capable of combining anatomic information with the statistical mapping of functional brain data. Approaches for statistical mapping that utilize information about the anatomic variability and registration errors of a population within the Talairach atlas space will enhance our understanding of the interplay between human brain structure and function. METHOD We present a subvolume thresholding (SVT) method for analyzing positron emission tomography (PET) and single photon emission CT data and determining separately the statistical significance of the effects of motor stimulation on brain perfusion. Incorporation of a priori anatomical information into the functional SVT model is achieved by selecting a proper anatomically partitioned probabilistic atlas for the data. We use a general Gaussian random field model to account for the intrinsic differences in intensity distribution across brain regions related to the physiology of brain activation, attenuation effects, dead time, and other corrections in PET imaging and data reconstruction. RESULTS H2(15)O PET scans were acquired from six normal subjects under two different activation paradigms: left-hand and right-hand finger-tracking task with visual stimulus. Regional region-of-interest and local (voxel) group differences between the left and right motor tasks were obtained using nonparametric stochastic variance estimates. As expected from our simple finger movement paradigm, significant activation (z = 6.7) was identified in the left motor cortex for the right movement task and significant activation (z = 6.3) for the left movement task in the right motor cortex. CONCLUSION We propose, test, and validate a probabilistic SVT method for mapping statistical variability between groups in subtraction paradigm studies of functional brain data. This method incorporates knowledge of, and controls for, anatomic variability contained in modern human brain probabilistic atlases in functional statistical mapping of the brain.

[1]  G. Christakos On the Problem of Permissible Covariance and Variogram Models , 1984 .

[2]  N. Smirnov Table for Estimating the Goodness of Fit of Empirical Distributions , 1948 .

[3]  A. Toga,et al.  Three-Dimensional Statistical Analysis of Sulcal Variability in the Human Brain , 1996, The Journal of Neuroscience.

[4]  Gerald B. Folland,et al.  Real Analysis: Modern Techniques and Their Applications , 1984 .

[5]  A. Toga,et al.  Detection and mapping of abnormal brain structure with a probabilistic atlas of cortical surfaces. , 1997, Journal of computer assisted tomography.

[6]  Alan C. Evans,et al.  A Three-Dimensional Statistical Analysis for CBF Activation Studies in Human Brain , 1992, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[7]  R. Adler,et al.  The Geometry of Random Fields , 1982 .

[8]  A W Toga,et al.  Sulcal variability in the Alzheimer's brain , 1998, Neurology.

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

[10]  Karl J. Friston,et al.  The Relationship between Global and Local Changes in PET Scans , 1990, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

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

[12]  R. V. Churchill,et al.  Lectures on Fourier Integrals , 1959 .

[13]  J. Mazziotta,et al.  Rapid Automated Algorithm for Aligning and Reslicing PET Images , 1992, Journal of computer assisted tomography.

[14]  Alan C. Evans,et al.  Searching scale space for activation in PET images , 1996, Human brain mapping.

[15]  Karl J. Friston,et al.  A multivariate analysis of PET activation studies , 1996, Human brain mapping.

[16]  Arthur W. Toga,et al.  A Probabilistic Atlas of the Human Brain: Theory and Rationale for Its Development The International Consortium for Brain Mapping (ICBM) , 1995, NeuroImage.

[17]  Noel A Cressie,et al.  Statistics for Spatial Data. , 1992 .

[18]  J. Mazziotta,et al.  MRI‐PET Registration with Automated Algorithm , 1993, Journal of computer assisted tomography.

[19]  J.-M. Travere,et al.  Modeling of 2D PET noise autocovariance function applied to individual activation studies , 1994, Proceedings of 1994 IEEE Nuclear Science Symposium - NSS'94.