Theoretical models of the diffusion weighted MR signal

Area of Science:

• Biophysics
• Medical Imaging
• Neuroscience

Background:

• Diffusion MRI is vital for studying biological tissue structure and function.
• Accurate interpretation of diffusion MRI data relies on theoretical models linking signal to microstructure.
• Models are needed to understand tissue at the cellular level.

Purpose of the Study:

• To review theoretical models for diffusion MRI signal analysis.
• To cover models from simple apparent diffusion coefficient to complex multi-compartment approaches.
• To provide insights into MR signal formation mechanisms in biological tissues.

Main Methods:

• Analysis of theoretical models for diffusion MRI.
• Inclusion of simple single-cell models for understanding complex tissue signals.
• Presentation of models for extra- and intracellular spaces and cell geometry.

Main Results:

• Models range from basic apparent diffusion coefficient to advanced multi-compartment analyses.
• Theoretical models for simple structures offer insights into complex tissue signals.
• Exact analytical calculations are presented for specific models like single-compartment systems.

Conclusions:

• Theoretical models are essential for interpreting diffusion MRI data.
• Understanding simple models aids in comprehending complex biological tissue signals.
• This review serves researchers new to and experienced in the MR field.