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Complex data analysis in high-resolution SSFP fMRI. Magn Reson Med 2007;57:905–917 (0)

by J Lee, M Shahram, A Schwartzman, Pauly JM
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Magnitude and phase signal detection in complex-valued fMRI data

by Daniel B. Rowe - Magnetic Resonance in Medicine
"... In a recent paper on complex-valued functional magnetic resonance imaging (fMRI) detection by Lee et al. (2007), a statistical model for magnitude and phase changes is pre-sented (1). This follows a line of published research on the topic (2–5) motivated by the fact that fMRI phase data contains bio ..."
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In a recent paper on complex-valued functional magnetic resonance imaging (fMRI) detection by Lee et al. (2007), a statistical model for magnitude and phase changes is pre-sented (1). This follows a line of published research on the topic (2–5) motivated by the fact that fMRI phase data contains biological information regarding the vasculature contained within voxels (6,7). The Lee et al. (2007) model is elegant and computationally efficient, but there are four items regarding it that need to be clarified in addition to its relationship to the Rowe (2005) model (5). The Rowe (2005) model for detecting magnitude and phase changes in complex-valued data is yRtyIt xtcosutxtsinut RtIt [1] where at time t, t 1,...,n, yRt and yIt are the observed real and imaginary observations. In addition, xt is the magni-tude signal, xt is the tth row of a design matrix X describing temporal magnitude changes, is a vector of magnitude regression coefficients, ut is the phase signal, ut is the tth row of a design matrix U describing temporal phase changes, is a vector of phase regression coefficients. Finally, Rt and It are the real and imaginary measurement error that are independent and identically distributed N(0,2) variables. Several hypothesis pairs are presented with suitable selection from C 0, C 0, D 0, and
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...ion to its relationship to the Rowe (2005) model (5). The Rowe (2005) model for detecting magnitude and phase changes in complex-valued data is yRtyIt xtcosutxtsinut RtIt =-=[1]-=- where at time t, t 1, . . .,n, yRt and yIt are the observed real and imaginary observations. In addition, xt is the magnitude signal, xt is the tth row of a design matrix X describing temporal ma...

Imaging Periodic Currents Using Alternating Balanced Steady-State Free Precession

by Giedrius T. Buračas, Thomas T. Liu, Richard B. Buxton, Lawrence R. Frank, Eric C. Wong
"... Existing functional brain MR imaging methods detect neuronal activity only indirectly via a surrogate signal such as deoxyhe-moglobin concentration in the vascular bed of cerebral paren-chyma. It has been recently proposed that neuronal currents may be measurable directly using MRI (ncMRI). However, ..."
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Existing functional brain MR imaging methods detect neuronal activity only indirectly via a surrogate signal such as deoxyhe-moglobin concentration in the vascular bed of cerebral paren-chyma. It has been recently proposed that neuronal currents may be measurable directly using MRI (ncMRI). However, lim-ited success has been reported in neuronal current detection studies that used standard gradient or spin echo pulse se-quences. The balanced steady-state free precession (bSSFP) pulse sequence is unique in that it can afford the highest known SNR efficiency and is exquisitely sensitive to perturbations in free precession phase. It is reported herein that when a spin phase-perturbing periodic current is locked to an RF pulse train, phase perturbations are accumulated across multiple RF excitations and the spin magnetization reaches an alternating balanced steady state (ABSS) that effectively amplifies the
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... 1b illustrates that the impact of the current-induced Bz on both the signal magnitude and phase rotation can be succinctly captured by measuring the magnitude of the change in the complex MR signal =-=(24)-=-. Note that while the change in GRE signal magnitude is a result of spin dephasing alone, the bSSFP signal magnitude is affected by both spin dephasing and phase rotation and is a function of a static...

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