Related Experiment Video
Updated: Jun 5, 2026

14:27
Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data
Published on: June 26, 2013
Detecting disease-specific patterns of brain structure using cortical pattern matching and a population-based
Paul M Thompson1, Michael S Mega, Christine Vidal
1Laboratory of Neuro Imaging, Division of Brain Mapping, and Alzheimer's Disease Center, Dept. of Neurology, UCLA School of Medicine, Los Angeles, CA, USA thompson@loni.ucla.edu.
Summary
This study introduces novel mathematical methods to create probabilistic brain atlases, enabling the detection of disease-specific patterns and dynamic changes in brain structure and function across populations.
Area of Science:
- Neuroimaging
- Computational Neuroscience
- Medical Image Analysis
Background:
- Developing comprehensive brain image databases requires advanced mathematical algorithms.
- Understanding population-level variations in brain structure and function is crucial for disease research.
Purpose of the Study:
- To construct probabilistic brain atlases encoding variations across demographics, time, health, and disease.
- To detect disease-specific abnormalities and dynamic changes in Alzheimer's disease and schizophrenia.
Main Methods:
- Utilized covariant partial differential equations (PDEs), harmonic flows, and high-dimensional random tensor fields.
- Developed a mathematical framework to encode variations in cortical patterning, asymmetry, and tissue distribution.
- Created four-dimensional (4D) maps for probabilistic information on brain dynamics.
Main Results:
- Successfully detected group patterns of cortical organization and asymmetry not apparent in individual scans.
- Identified disease-specific trends in Alzheimer's disease and schizophrenia, including temporal changes.
- Demonstrated the ability to resolve subtle group patterns from population-based brain image data.
Conclusions:
- Probabilistic atlases offer a powerful tool for identifying structural and functional variations in diseased populations.
- These atlases can reveal how brain changes depend on demographic, genetic, clinical, and therapeutic factors.
- The developed methods show promise for advancing our understanding of brain development and disease progression.

