Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience
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Published:2023-09-19
Issue:2
Volume:97
Page:
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ISSN:0885-7474
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Container-title:Journal of Scientific Computing
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language:en
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Short-container-title:J Sci Comput
Author:
Chen XinanORCID, Tran Anh Phong, Elkin Rena, Benveniste Helene, Tannenbaum Allen R.
Abstract
AbstractThe 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.
Funder
Cure Alzheimer’s Fund Army Research Office Foundation for the National Institutes of Health AFOSR
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis
Reference33 articles.
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