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Robust cortical thickness estimation in the presence of partial volumes using adaptive diffusion equation
Anand A Joshi1, Ronald Salloum2, Chitresh Bhushan3
1Signal and Image Processing Institute, Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, 90089, USA.
Journal of Neuroscience Methods
|August 24, 2025
Summary
A new adaptive diffusion equation (ADE) method accurately estimates brain cortical thickness by accounting for partial tissue volumes. This approach improves accuracy and consistency across different MRI scanners and resolutions.
Area of Science:
- Neuroimaging
- Computational Neuroscience
- Medical Image Analysis
Background:
- Automated cortical thickness estimation is vital for studying brain development, aging, and neurodegenerative diseases.
- Partial volume effects due to limited MRI spatial resolution can significantly impact thickness accuracy, especially with hard thresholding.
- The convoluted cortical structure exacerbates these partial volume challenges.
Purpose of the Study:
- To introduce a novel method for accurate cortical thickness estimation that explicitly addresses partial tissue volume effects.
- To develop a method robust to variations in MRI spatial resolution and scanner field strength.
Main Methods:
- A novel adaptive diffusion equation (ADE) method was developed for cortical thickness estimation.
- The ADE method incorporates gray matter fractions into the diffusivity term to account for partial tissue volumes.
- The proposed method was compared against established techniques including Laplace equation, linked distance metric, and FreeSurfer.
Main Results:
- The ADE method demonstrated robustness against finite voxel resolution and image blurring.
- Simulations, histological comparisons, and test-retest studies validated the method's accuracy and consistency.
- ADE showed superior consistency in multi-scanner test-retest studies compared to existing methods.
Conclusions:
- The novel adaptive diffusion equation (ADE) method provides accurate and histologically consistent cortical thickness estimates.
- ADE is robust to variations in image resolution and scanner field strength, outperforming existing methods.
- The method offers improved reliability for neuroanatomical studies across diverse imaging conditions.

