most citedLatent Dynamics Networks (LDNets): learning the intrinsic dynamics of spatio-temporal processes

5 citations · 8 across the 7 of their papers we have counts for

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math.NA2024

Robust radial basis function interpolation based on geodesic distance for the numerical coupling of multiphysics problems

Michele Bucelli, Francesco Regazzoni, Luca Dede' +1

Multiphysics simulations frequently require transferring solution fields between subproblems with non-matching spatial discretizations, typically using interpolation techniques. St…

math.NA2024

An integrated heart-torso electromechanical model for the simulation of electrophysiogical outputs accounting for myocardial deformation

Elena Zappon, Matteo Salvador, Roberto Piersanti +3

When generating in-silico clinical electrophysiological outputs, such as electrocardiograms (ECGs) and body surface potential maps (BSPMs), mathematical models have relied on singl…

math.NA2023

lifex-ep: a robust and efficient software for cardiac electrophysiology simulations

Pasquale C. Africa, Roberto Piersanti, Francesco Regazzoni +6

Simulating the cardiac function requires the numerical solution of multi-physics and multi-scale mathematical models. This underscores the need for streamlined, accurate, and high-…

math.NA20233 cited

Real-time whole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations

Matteo Salvador, Marina Strocchi, Francesco Regazzoni +3

Cardiac digital twins provide a physics and physiology informed framework to deliver predictive and personalized medicine. However, high-fidelity multi-scale cardiac models remain…

math.NA2023

Preserving the positivity of the deformation gradient determinant in intergrid interpolation by combining RBFs and SVD: application to cardiac electromechanics

Michele Bucelli, Francesco Regazzoni, Luca Dede' +1

The accurate robust and efficient transfer of the deformation gradient tensor between meshes of different resolution is crucial in cardiac electromechanics simulations. We present…