activity
20212026
most citedLearning Reduced-Order Models for Cardiovascular Simulations with Graph Neural Networks

2 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

cs.CE2026

Accelerated Patient-Specific Hemodynamic Simulations with Hybrid Physics-Based Neural Surrogates

Natalia L. Rubio, Eric F. Darve, Alison L. Marsden

Physics-based 0D reduced-order models provide computationally lightweight predictions of cardiovascular flows, resolving bulk hemodynamics in fractions of a second that would take…

cs.CE2025

Data-Driven Bifurcation Handling in Physics-Based Reduced-Order Vascular Hemodynamic Models

Natalia L. Rubio, Eric F. Darve, Alison L. Marsden

Three-dimensional (3D) finite-element simulations of cardiovascular flows provide high-fidelity predictions to support cardiovascular medicine, but their high computational cost li…

cs.CE2024

Hybrid Physics-Based and Data-Driven Modeling of Vascular Bifurcation Pressure Differences

Natalia L. Rubio, Luca Pegolotti, Martin R. Pfaller +2

Reduced-order models (ROMs) allow for the simulation of blood flow in patient-specific vasculatures without the high computational cost and wait time associated with traditional co…

cs.LG2023★ 2 cited

Learning Reduced-Order Models for Cardiovascular Simulations with Graph Neural Networks

Luca Pegolotti, Martin R. Pfaller, Natalia L. Rubio +4

Reduced-order models based on physics are a popular choice in cardiovascular modeling due to their efficiency, but they may experience reduced accuracy when working with anatomies…

math.AP2021

On the fractional Laplacian of variable order

Eric Darve, Marta D'Elia, Roberto Garrappa +2

We present a novel definition of variable-order fractional Laplacian on Rn based on a natural generalization of the standard Riesz potential. Our definition holds for values of the…