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Mathematics > Numerical Analysis

arXiv:2201.07307 (math)
[Submitted on 18 Jan 2022]

Title:Visualizing fluid flows via regularized optimal mass transport with applications to neuroscience

Authors:Xinan Chen, Anh Phong Tran, Rena Elkin, Helene Benveniste, Allen R. Tannenbaum
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Abstract: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 (CFD) 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.
Subjects: Numerical Analysis (math.NA)
Cite as: arXiv:2201.07307 [math.NA]
  (or arXiv:2201.07307v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2201.07307

Submission history

From: Xinan Chen [view email]
[v1] Tue, 18 Jan 2022 20:52:50 UTC (22,748 KB)
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