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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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Updated: Aug 11, 2025

Molecular Diffusion in Plasma Membranes of Primary Lymphocytes Measured by Fluorescence Correlation Spectroscopy
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Diffusion time dependency of extracellular diffusion.

Junzhong Xu1,2,3,4, Jingping Xie1, Natenael B Semmineh5

  • 1Institute of Imaging Science, Vanderbilt University Medical Center, Nashville, Tennessee, USA.

Magnetic Resonance in Medicine
|February 6, 2023
PubMed
Summary
This summary is machine-generated.

The power-law dependence of extracellular water diffusion varies with diffusion time in diffusion MRI (dMRI). A single power-law model does not fit all diffusion times, crucial for accurate microstructural imaging in cancer and liver tissues.

Keywords:
D2Odiffusiondiffusion timeextracellularliposomeoscillating gradientphantom

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Area of Science:

  • Biophysics
  • Medical Imaging
  • Materials Science

Background:

  • Diffusion MRI (dMRI) measures water diffusion to infer tissue microstructure.
  • Extracellular water diffusion is influenced by tissue properties and measurement parameters.
  • Understanding diffusion time dependence is key for quantitative microstructural analysis.

Purpose of the Study:

  • To quantify variations in power-law dependencies of extracellular water diffusion.
  • To investigate the relationship between diffusion time and extracellular diffusion coefficient ( ).
  • To assess the applicability of power-law models in diffusion MRI (dMRI).

Main Methods:

  • Utilized cellular models and computer simulations of randomly packed tissues.
  • Performed dMRI measurements on liposome suspensions in heavy and regular water.
  • Obtained extracellular diffusion coefficient ( ) over a broad diffusion time ( ) range (1-1000 ms).
  • Fitted power-law equations to the experimental and simulated data.

Main Results:

  • No single power-law adequately describes extracellular diffusion across all diffusion times ( ).
  • Previous theoretical models are accurate only over limited ranges.
  • Empirically, a power-law fit matched data well for the typical dMRI range of 5-70 ms.

Conclusions:

  • The optimal power-law fit for extracellular diffusion is dependent on diffusion time ( ).
  • Extrapolation of short or long dependencies is unsuitable for typical dMRI in cancer or liver.
  • Selecting the appropriate range is critical for accurate dMRI-based microstructural imaging.