Related Experiment Video
Updated: Jun 22, 2026

Magnetic Resonance Imaging of Multiple Sclerosis at 7.0 Tesla
Published on: February 19, 2021
Using magnetic field simulation to study susceptibility-related phase contrast in gradient echo MRI
Andreas Schäfer1, Sam Wharton, Penny Gowland
1Sir Peter Mansfield Magnetic Resonance Centre, School of Physics and Astronomy, University of Nottingham, University Park, Nottingham, NG7 2RD, UK.
This study introduces a Fourier-based method to accurately simulate magnetic field perturbations from susceptibility distributions in the brain. The findings highlight the importance of careful interpretation of susceptibility-weighted imaging, especially for anatomical features.
Area of Science:
- Biophysics
- Neuroimaging
- Magnetic Resonance Imaging (MRI)
Background:
- Accurate modeling of magnetic field perturbations is crucial for interpreting MRI data, particularly in heterogeneous biological tissues.
- Understanding the relationship between magnetic susceptibility variations and NMR frequency shifts is key for advanced neuroimaging techniques.
Purpose of the Study:
- To develop and validate a Fourier-based method for calculating spatially varying magnetic field perturbations.
- To simulate and compare NMR frequency variations in phantoms and human brain structures (cortex, mid-brain) with experimental data at 7 Tesla.
- To investigate the impact of susceptibility variations on image features and the interpretation of susceptibility-weighted images.
Main Methods:
- Utilized a Fourier-based method for rapid calculation of magnetic field perturbations from susceptibility distributions (χ(r) << 1).
- Simulated NMR frequency variations in structured phantoms, human cortex, and mid-brain models.
- Compared simulation results with experimental data acquired at 7 Tesla.
- Employed k-space analysis to understand the relationship between measured frequency perturbation and anatomical features.
Main Results:
- The Fourier method accurately estimated NMR frequency variations in complex structures comparable to the human brain.
- Simulations revealed sharp boundaries between grey and white matter due to susceptibility variations.
- Frequency differences were significantly less than predicted by simple scaling of volume susceptibility.
- Simulated field perturbation patterns closely matched experimental data for specific brain structures (substantia nigra, red nuclei).
- Features like rings and graded phase variations can arise from simple homogeneous structures, necessitating careful image interpretation.
- Frequency variations can extend beyond localized structures even after spatial filtering.
Conclusions:
- The Fourier-based method provides an accurate tool for simulating magnetic field perturbations in neuroimaging.
- Interpretation of phase or susceptibility-weighted images requires caution due to potential artifacts from simple anatomical structures.
- Understanding k-space properties is essential for ensuring that frequency perturbations accurately reflect anatomical features.
Related Concept Videos
Magnetic Resonance Imaging
Magnetic Fields
A magnetic field is defined by the force that a charged particle experiences...
Magnetic Susceptibility and Permeability
When diamagnetic materials are placed under an external magnetic field, the moments opposite to the field are induced. Hence, the susceptibility for diamagnets has a minimal negative value of 10-5–10-6. Since...
Atomic Nuclei: Magnetic Resonance
Magnetic Field due to Moving Charges
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Atomic Nuclei: Nuclear Relaxation Processes
