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Related Concept Videos

State Space Representation01:27

State Space Representation

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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Localization by nonlinear phase preparation and k-space trajectory design.

Walter R T Witschey1, Chris A Cocosco, Daniel Gallichan

  • 1University Hospital Freiburg, Freiburg i. Breisgau, Germany. witschey@mail.med.upenn.edu

Magnetic Resonance in Medicine
|December 1, 2011
PubMed
Summary

This study introduces a novel magnetic resonance imaging (MRI) technique for precise signal localization using nonlinear magnetic fields and local k-space theory. This method offers a potential alternative to radiofrequency excitation in ultra-high-field MRI, especially for specific applications.

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Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Medical Physics
  • Biomedical Engineering

Background:

  • Current MRI techniques face challenges in signal localization, particularly at ultra-high fields.
  • Selective radiofrequency excitation can be limited by energy deposition and repetition time constraints.

Purpose of the Study:

  • To develop and demonstrate a novel technique for localizing MR signals from a target volume.
  • To explore the application of local k-space theory in designing spatial encoding for improved localization.
  • To provide a practical alternative to selective radiofrequency excitation in specific MRI scenarios.

Main Methods:

  • Utilized nonlinear pulsed magnetic fields and custom spatial encoding trajectories based on local k-space theory.
  • Applied the technique to simulated phantom and cardiac MRI data with gradient coil phase modulation.
  • Acquired in vivo human brain images using a custom quadrupolar gradient coil on a 3-T MRI system.
  • Employed various MRI pulse sequences including 3D T2*-weighted spoiled gradient echo, 2D segmented multiple gradient encoded spin echo, and 3D balanced steady-state free precession.

Main Results:

  • Successfully demonstrated target localization in phantom and in vivo human brain images.
  • The method showed potential for signal localization without relying solely on selective radiofrequency excitation.
  • Acquired images using diverse pulse sequences, validating the technique's versatility.

Conclusions:

  • The developed technique offers a practical approach for MR signal localization, particularly at ultra-high fields.
  • It presents an alternative to selective radiofrequency excitation, especially for steady-state applications requiring minimized repetition time and limited energy deposition.
  • Limitations include spatial variations in resolution, aliasing artifacts, and echo times/contrast.