Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience
Abstract
The regularized optimal mass transport (rOMT) problem adds a diffusion term to the continuity equation in the original dynamic formulation of the optimal mass transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT model serves as a powerful tool in computational fluid dynamics for visualizing fluid flows in the glymphatic system. In the present work, we describe how to modify the previous numerical method for efficient implementation, resulting in a significant reduction in computational runtime. Numerical results applied to synthetic and real-data are provided.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 19, 2023
- Source ID
- 10.1007/s10915-023-02337-9
Entities
People
- Allen R. Tannenbaum
- Anh Phong Tran
- Helene Benveniste
- Rena Elkin
- Xinan Chen
Organizations
- Air Force Office of Scientific Research
- Army Research Office
- Cure Alzheimer's Fund
- Foundation for the National Institutes of Health