most citedA mathematical model that integrates cardiac electrophysiology, mechanics and fluid dynamics: application to the human left heart

4 citations · 5 across the 3 of their papers we have counts for

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11 papers · 1 filter

math.NA2025

Improvements on uncertainty quantification with variational autoencoders

Andrea Tonini, Tan Bui-Thanh, Francesco Regazzoni +2

Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. I…

math.NA2025

Coupling models of resistive valves to muscle mechanics in cardiac fluid-structure interaction simulations

Michele Bucelli, Luca Dede'

To accurately simulate all phases of the cardiac cycle, computational models of hemodynamics in heart chambers need to include a sufficiently faithful model of cardiac valves. This…

math.NA2025

Influence of cellular mechano-calcium feedback in numerical models of cardiac electromechanics

Irena Radišić, Francesco Regazzoni, Michele Bucelli +3

Multiphysics and multiscale mathematical models enable the non-invasive study of cardiac function. These models often rely on simplifying assumptions that neglect certain biophysic…

math.NA2024

Coupled Eikonal problems to model cardiac reentries in Purkinje network and myocardium

Samuele Brunati, Michele Bucelli, Roberto Piersanti +2

We propose a novel partitioned scheme based on Eikonal equations to model the coupled propagation of the electrical signal in the His-Purkinje system and in the myocardium for card…

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…