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Time resolved flow quantification with MRI using phase methods: a linear systems approach

F Peeters1, R Luypaert, H Eisendrath

  • 1Department of Physics, Faculty of Sciences, Vrije Universiteit Brussel, Belgium.

Magnetic Resonance in Medicine
|March 1, 1995
PubMed
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Linear response theory analyzes pulsatile flow effects in MRI using frequency domain analysis. This method improves velocity waveform reconstruction in flow quantification techniques.

Area of Science:

  • Medical Imaging
  • Fluid Dynamics

Background:

  • Unsteady (pulsatile) flow significantly impacts Magnetic Resonance Imaging (MRI) phase shifts.
  • Understanding these phase-related flow effects is crucial for accurate velocity quantification.

Purpose of the Study:

  • To apply linear response theory and frequency domain analysis to MRI flow effects.
  • To investigate flow encoding processes, including distortions and gradient waveform relationships.
  • To evaluate and improve time-resolved flow quantification techniques.

Main Methods:

  • Utilized linear response theory to model phase-related unsteady flow effects in MRI.
  • Described flow effects in the frequency domain using a transfer function and gradient spectrum.
  • Analyzed amplitude and phase transfer functions of Fourier flow method and phase mapping techniques.

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Main Results:

  • The transfer function analysis provides insights into flow encoding, timing, and distortions.
  • Clarified the relationship between the frequency domain approach and gradient moment expansion.
  • Simulations demonstrated improved interpretation of velocity waveforms.

Conclusions:

  • Fourier analysis combined with inverse transfer function correction accurately reconstructs velocity waveforms.
  • This frequency domain approach enhances the interpretation and accuracy of MRI flow quantification.
  • The study offers a theoretical framework for understanding and correcting flow-induced artifacts in MRI.