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Related Concept Videos

Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers energy to a nearby...
Magnetic Resonance Imaging01:24

Magnetic Resonance Imaging

Magnetic resonance imaging (MRI) is a noninvasive medical imaging technique based on a phenomenon of nuclear physics discovered in the 1930s, in which matter exposed to magnetic fields and radio waves was found to emit radio signals. In 1970, a physician and researcher named Raymond Damadian noticed that malignant (cancerous) tissue gave off different signals than normal body tissue. He applied for a patent for the first MRI scanning device in clinical use by the early 1980s. The early MRI...
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Imaging Studies for Cardiovascular System IV: CMRI

Cardiovascular magnetic resonance imaging, or CMRI, is a non-invasive diagnostic test that employs a magnetic field and radiofrequency waves to create precise images of the heart and arteries. It provides comprehensive information about cardiac anatomy, function, perfusion, and tissue characterization without ionizing radiation.IndicationsCMRI diagnoses various heart conditions, including tissue damage from heart attacks, ischemic heart disease, myocarditis, aortic issues (tears, aneurysms,...
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis. This...
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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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Updated: May 25, 2026

Quantitative Magnetic Resonance Imaging of Skeletal Muscle Disease
09:30

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Published on: December 18, 2016

Relaxation time estimation from complex magnetic resonance images.

Fabio Baselice1, Giampaolo Ferraioli, Vito Pascazio

  • 1Dipartimento per le Tecnologie, Università degli Studi di Napoli Parthenope, Naples, Italy. fabio.baselice@uniparthenope.it

Sensors (Basel, Switzerland)
|February 10, 2012
PubMed
Summary

This study introduces a new statistical method for estimating magnetic resonance (MR) relaxation times from complex-valued MR images. This technique improves accuracy and offers valuable insights for cancer diagnostics.

Keywords:
Magnetic Resonance Imagingrelaxation parameter estimationstatistical signal processing

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Area of Science:

  • Medical Imaging
  • Biophysics
  • Statistical Modeling

Background:

  • Magnetic Resonance (MR) imaging is crucial for assessing tissue biophysical properties.
  • Image contrast in MR diagnostics heavily relies on tissue relaxation times.
  • Relaxation times offer significant potential for enhancing cancer diagnosis.

Purpose of the Study:

  • To present a novel statistical technique for estimating relaxation times.
  • To leverage complex-valued MR images for improved estimation.
  • To enhance the accuracy and utility of MR imaging in clinical diagnostics.

Main Methods:

  • Developed a statistical technique to estimate relaxation times.
  • Utilized complex-valued MR images, working in the complex domain.
  • Applied a simple Least Square (LS) estimator to bivariate Gaussian distributed complex data.

Main Results:

  • The proposed estimator is simple and accurate.
  • The technique provides unbiased estimation of relaxation times.
  • Exploiting complex data enhances relaxation time estimation.

Conclusions:

  • The presented statistical technique offers a robust method for MR relaxation time estimation.
  • This approach can improve diagnostic capabilities in Magnetic Resonance imaging.
  • The method provides accurate and unbiased results for clinical applications.