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Magnitude and phase signal detection in complex-valued fMRI data
- 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
Imaging Periodic Currents Using Alternating Balanced Steady-State Free Precession
"... 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