Enhancing the utility of complex‐valued functional magnetic resonance imaging detection of neurobiological processes through postacquisition estimation and correction of dynamic B0 errors and motion

Functional magnetic resonance imaging (fMRI) time series analysis is typically performed using only the magnitude portion of the data. The phase information remains unused largely due to its sensitivity to temporal variations in the magnetic field unrelated to the functional response of interest. These phase changes are commonly the result of physiologic processes such as breathing or motion either inside or outside the imaging field of view. As a result, although the functional phase response carries pertinent physiological information concerning the vasculature, one aspect of which is the location of large draining veins, the full hemodynamic phase response is understudied and is poorly understood, especially in comparison with the magnitude response. It is likely that the magnitude and phase contain disjoint information, which could be used in tandem to better characterize functional hemodynamics. In this work, simulated and human fMRI experimental data are used to demonstrate how statistical analysis of complex‐valued fMRI time series can be problematic, and how robust analysis using these powerful and flexible complex‐valued statistics is possible through postprocessing with correction for dynamic magnetic field fluctuations in conjunction with estimated motion parameters. These techniques require no special pulse sequence modifications and can be applied to any complex‐valued echo planar imaging data set. This analysis shows that the phase component appears to contain information complementary to that in the magnitude and that processing and analysis techniques are available to investigate it in a robust and flexible manner. Hum Brain Mapp, 2012. © 2011 Wiley Periodicals, Inc.

[1]  L. Heller,et al.  Modeling direct effects of neural current on MRI , 2009, Human brain mapping.

[2]  Ravi S. Menon Postacquisition suppression of large‐vessel BOLD signals in high‐resolution fMRI , 2002, Magnetic resonance in medicine.

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

[4]  Li Sze Chow,et al.  Investigation of MR signal modulation due to magnetic fields from neuronal currents in the adult human optic nerve and visual cortex. , 2006, Magnetic resonance imaging.

[5]  Peter van Gelderen,et al.  Reducing correlated noise in fMRI data , 2008, Magnetic resonance in medicine.

[6]  Brent R Logan,et al.  An evaluation of spatial thresholding techniques in fMRI analysis , 2008, Human brain mapping.

[7]  J. Ibrahim,et al.  Regression Models for Identifying Noise Sources in Magnetic Resonance Images , 2009, Journal of the American Statistical Association.

[8]  S. Ogawa Brain magnetic resonance imaging with contrast-dependent oxygenation , 1990 .

[9]  J. Durbin,et al.  Testing for serial correlation in least squares regression. I. , 1950, Biometrika.

[10]  J. Bodurka,et al.  Current-induced magnetic resonance phase imaging. , 1999, Journal of magnetic resonance.

[11]  R. Bowtell,et al.  Initial attempts at directly detecting alpha wave activity in the brain using MRI. , 2004, Magnetic resonance imaging.

[12]  T. Breusch TESTING FOR AUTOCORRELATION IN DYNAMIC LINEAR MODELS , 1978 .

[13]  E. J. Hannan TESTING FOR SERIAL CORRELATION IN LEAST SQUARES REGRESSION , 1957 .

[14]  Jeff H. Duyn,et al.  Making the most of fMRI at 7 T by suppressing spontaneous signal fluctuations , 2009, NeuroImage.

[15]  D. Plenz,et al.  Direct magnetic resonance detection of neuronal electrical activity , 2006, Proceedings of the National Academy of Sciences.

[16]  M. Stephens EDF Statistics for Goodness of Fit and Some Comparisons , 1974 .

[17]  D. Rowe Magnitude and phase signal detection in complex‐valued fMRI data , 2009, Magnetic resonance in medicine.

[18]  Daniel B. Rowe,et al.  A complex way to compute fMRI activation , 2004, NeuroImage.

[19]  W. Cleveland,et al.  Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting , 1988 .

[20]  Luis Hernandez-Garcia,et al.  Complex‐valued analysis of arterial spin labeling–based functional magnetic resonance imaging signals , 2009, Magnetic resonance in medicine.

[21]  Morteza Shahram,et al.  Complex data analysis in high‐resolution SSFP fMRI , 2007, Magnetic resonance in medicine.

[22]  W. W. Muir,et al.  Regression Diagnostics: Identifying Influential Data and Sources of Collinearity , 1980 .

[23]  Vince D. Calhoun,et al.  Biophysical modeling of phase changes in BOLD fMRI , 2009, NeuroImage.

[24]  S. Shapiro,et al.  An Analysis of Variance Test for Normality (Complete Samples) , 1965 .

[25]  R. Nowak,et al.  Generalized likelihood ratio detection for fMRI using complex data , 1999, IEEE Transactions on Medical Imaging.

[26]  Daniel B. Rowe,et al.  Parameter estimation in the magnitude-only and complex-valued fMRI data models , 2005, NeuroImage.

[27]  Andrew S. Nencka,et al.  Reducing the unwanted draining vein BOLD contribution in fMRI with statistical post-processing methods , 2007, NeuroImage.

[28]  Daniel B. Rowe,et al.  Complex fMRI analysis with unrestricted phase is equivalent to a magnitude-only model , 2005, NeuroImage.

[29]  V D Calhoun,et al.  Independent component analysis of fMRI data in the complex domain , 2002, Magnetic resonance in medicine.

[30]  J. Durbin,et al.  Testing for serial correlation in least squares regression. II. , 1950, Biometrika.

[31]  Tom Johnstone,et al.  Motion correction and the use of motion covariates in multiple‐subject fMRI analysis , 2006, Human brain mapping.

[32]  Seong-Gi Kim,et al.  Sources of phase changes in BOLD and CBV‐weighted fMRI , 2007, Magnetic resonance in medicine.

[33]  R W Cox,et al.  AFNI: software for analysis and visualization of functional magnetic resonance neuroimages. , 1996, Computers and biomedical research, an international journal.

[34]  G H Glover,et al.  Image‐based method for retrospective correction of physiological motion effects in fMRI: RETROICOR , 2000, Magnetic resonance in medicine.

[35]  J R Reichenbach,et al.  In vivo measurement of changes in venous blood‐oxygenation with high resolution functional MRI at 0.95 Tesla by measuring changes in susceptibility and velocity , 1998, Magnetic resonance in medicine.

[36]  J. Bodurka,et al.  Direct detection of neuronal activity with MRI: Fantasy, possibility, or reality? , 2005 .

[37]  M. Bianciardi,et al.  The effect of physiological noise in phase functional magnetic resonance imaging: from blood oxygen level-dependent effects to direct detection of neuronal currents. , 2008, Magnetic resonance imaging.

[38]  Daniel B. Rowe,et al.  An evaluation of thresholding techniques in fMRI analysis , 2004, NeuroImage.

[39]  X. Hu,et al.  Simulated phase evolution rewinding (SPHERE): A technique for reducing B0 inhomogeneity effects in MR images , 1997, Magnetic resonance in medicine.

[40]  T. W. Anderson,et al.  Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes , 1952 .

[41]  Daniel B. Rowe,et al.  Characterizing phase-only fMRI data with an angular regression model , 2007, Journal of Neuroscience Methods.

[42]  Daniel B. Rowe Modeling both the magnitude and phase of complex-valued fMRI data , 2005, NeuroImage.

[43]  James S. Hyde,et al.  Strategies for block-design fMRI experiments during task-related motion of structures of the oral cavity , 2006, NeuroImage.

[44]  Thomas E. Nichols,et al.  Diagnosis and exploration of massively univariate neuroimaging models , 2003, NeuroImage.

[45]  J. Bodurka,et al.  Toward direct mapping of neuronal activity: MRI detection of ultraweak, transient magnetic field changes , 2002 .

[46]  L. Godfrey TESTING AGAINST GENERAL AUTOREGRESSIVE AND MOVING AVERAGE ERROR MODELS WHEN THE REGRESSORS INCLUDE LAGGED DEPENDENT VARIABLES , 1978 .

[47]  Andrew S. Nencka,et al.  Improving robustness and reliability of phase-sensitive fMRI analysis using temporal off-resonance alignment of single-echo timeseries (TOAST) , 2009, NeuroImage.

[48]  D. Tank,et al.  Brain magnetic resonance imaging with contrast dependent on blood oxygenation. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[49]  R W Cox,et al.  Magnetic field changes in the human brain due to swallowing or speaking , 1998, Magnetic resonance in medicine.