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A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Double Resonance Techniques: Overview01:12

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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
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A noise-robust post-processing pipeline for accelerated phase-cycled 23Na Multi-Quantum Coherences MRI.

Christian Licht1, Efe Ilicak2, Fernando E Boada3

  • 1Computer Assisted Clinical Medicine, Medical Faculty Mannheim, Heidelberg University, Mannheim, Germany; Mannheim Institute for Intelligent Systems in Medicine, Medical Faculty Mannheim, Heidelberg University, Mannheim, Germany; Radiological Sciences Laboratory, School of Medicine, Stanford University, Stanford, California, USA.

Zeitschrift Fur Medizinische Physik
|January 22, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a new pipeline for sodium (23Na) Multi-Quantum Coherences (MQC) MRI, enhancing image quality and reducing scan times. The method improves signal-to-noise ratio and robustly separates signals for better brain imaging at 7 Tesla.

Keywords:
Dynamic mode decompositionLow-rankNeuroimagingSingle and triple quantum imagingSodium MRISodium multi-quantum coherences

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Area of Science:

  • Medical Imaging
  • Biophysics
  • Neuroimaging

Background:

  • Sodium (23Na) Multi-Quantum Coherences (MQC) MRI is valuable for in vivo human brain imaging at 7 Tesla.
  • Current MQC MRI techniques face challenges with low signal-to-noise ratio (SNR) and lengthy radiofrequency (RF) phase-cycling.
  • Accurate separation of Single Quantum (SQ) and Triple Quantum (TQ) signals is essential for calculating the TQ/SQ ratio, a key diagnostic parameter.

Purpose of the Study:

  • To develop an advanced post-processing pipeline for noise-robust, accelerated 23Na MQC MRI of the in vivo human brain at 7 T.
  • To enhance SNR and improve the separation of SQ and TQ signal components in 23Na MQC MRI.
  • To reduce acquisition time while maintaining high image quality.

Main Methods:

  • Combined low-rank k-space denoising for SNR enhancement with Dynamic Mode Decomposition (DMD) for robust SQ and TQ signal separation.
  • Validated the pipeline in silico, in vitro, and in vivo, comparing it against conventional denoising and Fourier Transform (FT) methods.
  • Assessed pipeline robustness using ablation experiments simulating corrupted RF phase-cycling steps.

Main Results:

  • The denoising algorithm doubled SNR compared to non-denoised images and improved SNR by up to 29% over Wavelet denoising.
  • DMD effectively separated SQ and TQ signals, even with incomplete RF phase-cycling, achieving superior SSIM (0.89±0.024) and lower RMSE (0.055±0.008) compared to FT methods.
  • Enabled high-quality 8x8x15mm3 in vivo 23Na MQC MRI with acquisition time reduced from 48 to 10 minutes.

Conclusions:

  • The proposed pipeline significantly enhances robustness in 23Na MQC MRI through low-rank denoising and DMD-based signal separation.
  • Achieved high-quality MR images for both SQ and TQ components, even under accelerated and incomplete RF phase-cycling conditions.
  • This method offers a more efficient and reliable approach for advanced 23Na MQC MRI of the human brain.