Related Experiment Video
Updated: Oct 3, 2025

Real-time Iontophoresis with Tetramethylammonium to Quantify Volume Fraction and Tortuosity of Brain Extracellular Space
Published on: July 24, 2017
Diffusion time dependence, power-law scaling, and exchange in gray matter
Jonas L Olesen1, Leif Østergaard2, Noam Shemesh3
1Center of Functionally Integrative Neuroscience (CFIN) and MINDLab, Department of Clinical Medicine, Aarhus University, Aarhus, Denmark; Department of Physics and Astronomy, Aarhus University, Aarhus, Denmark.
Diffusion MRI (dMRI) signals in gray matter are complex. This study shows neurite signals can be isolated and characterized, revealing insights into water exchange and impermeable neurites using advanced modeling and ultrahigh field imaging.
Area of Science:
- Neuroimaging
- Biophysics
- Diffusion MRI
Background:
- Diffusion MRI (dMRI) is crucial for neuroimaging but signal specificity is limited, especially in gray matter (GM).
- Current biophysical models like the Standard Model (SM) and SANDI model have assumptions that need experimental validation in GM.
- The b⁻¹/² power-law is a key signature of 1D diffusion, but its absence in GM is attributed to factors like water exchange and soma signals.
Purpose of the Study:
- To experimentally validate assumptions of dMRI biophysical models in gray matter.
- To identify conditions where neurite signals dominate in GM dMRI.
- To differentiate between water exchange and restricted diffusion effects in GM.
Main Methods:
- Diffusion simulations in realistic neuron models.
- Analysis of GM dMRI signal behavior across diffusion weighting and time.
- Ultrahigh field (16.4T) dMRI experiments on ex vivo rat brain.
- Application of the Kärger exchange model and integration into SM and SANDI models.
Main Results:
- Neurite signals in simulations are masked by soma signals under typical conditions but can be isolated experimentally.
- Neurite signals in impermeable structures exhibit a power-law behavior, even with curvature and branching.
- Observed time dependence in GM dMRI data suggests significant water exchange and a sub-population of impermeable neurites.
- Exchange-driven time dependence mimics restricted diffusion, necessitating careful interpretation.
Conclusions:
- The study identifies an experimental regime to isolate neurite signals in GM dMRI.
- Findings suggest substantial water exchange and a small population of impermeable neurites in GM.
- The Kärger exchange model, integrated into SM and SANDI, aids in quantifying these GM microstructural properties.
Related Concept Videos
Diffusion
Physiological Pharmacokinetic Models: Blood Flow-Limited Versus Diffusion-Limited Models
Protein Diffusion in the Membrane
Atomic Nuclei: Types of Nuclear Relaxation
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...
Assessment of Diffusion and Perfusion
The Role of Diffusion in Respiration
Diffusion is the process by which molecules move from an area of higher concentration to an area of lower concentration. In the respiratory system, this...
Passive Diffusion: Overview and Kinetics
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...

