1 citations · 2 across the 5 of their papers we have counts for
6 papers
PI-NOMT: Physics-Informed Neural Optimal Mass Transport for Brain Fluid Dynamics
Mehmet Emin Acar, Vahit Bugra Yesilkaynak, Helene Benveniste +1
Recovering hidden transport mechanisms from sparse spatiotemporal observations is a fundamental inverse problem in scientific machine learning. In brain tracer imaging, dynamic con…
Unbalanced Regularized Optimal Mass Transport with Applications to Fluid Flows in the Brain
Xinan Chen, Helene Benveniste, Allen R. Tannenbaum
As a generalization of the optimal mass transport (OMT) approach of Benamou and Brenier's, the regularized optimal mass transport (rOMT) formulates a transport problem from an init…
Regularized Optimal Mass Transport with Nonlinear Diffusion
Kaiming Xu, Xinan Chen, Helene Benveniste +1
In this paper, we combine nonlinear diffusion with the regularized optimal mass transport (rOMT) model. As we will demonstrate, this new approach provides further insights into cer…
Visualizing fluid flows via regularized optimal mass transport with applications to neuroscience
Xinan Chen, Anh Phong Tran, Rena Elkin +2
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 p…
Fisher-Rao Regularized Transport Analysis of the Glymphatic System and Waste Drainage
Rena Elkin, Saad Nadeem, Hedok Lee +2
In this work, a unified representation of all the time-varying dynamics is accomplished with a Lagrangian framework for analyzing Fisher-Rao regularized dynamical optimal mass tran…
GlymphVIS: Visualizing Glymphatic Transport Pathways Using Regularized Optimal Transport
Rena Elkin, Saad Nadeem, Eldad Haber +4
The glymphatic system (GS) is a transit passage that facilitates brain metabolic waste removal and its dysfunction has been associated with neurodegenerative diseases such as Alzhe…