activity
20202026
most citedModeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations

128 citations · 453 across the 20 of their papers we have counts for

collaborators
Showing math.NAShow all

16 papers · 1 filter

math.NA2026

An agglomeration-based multigrid solver for the discontinuous Galerkin discretization of cardiac electrophysiology

Marco Feder, Pasquale Claudio Africa

This work presents a novel agglomeration-based multilevel preconditioner designed to accelerate the convergence of iterative solvers for linear systems arising from the discontinuo…

math.NA2025

A Review of Equation-Based and Data-Driven Reduced Order Models featuring a Hybrid cardiovascular application

Pierfrancesco Siena, Pasquale Claudio Africa, Michele Girfoglio +1

Cardiovascular diseases are a leading cause of death in the world, driving the development of patient-specific and benchmark models for blood flow analysis. This chapter provides a…

math.NA2025

A hybrid Reduced Order Model to enforce outflow pressure boundary conditions in computational haemodynamics

Pierfrancesco Siena, Pasquale Claudio Africa, Michele Girfoglio +1

This paper deals with the development of a Reduced-Order Model (ROM) to investigate haemodynamics in cardiovascular applications. It employs the use of Proper Orthogonal Decomposit…

math.NA2024

Projection-based Reduced Order Modelling for Unsteady Parametrized Optimal Control Problems in 3D Cardiovascular Flows

Surabhi Rathore, Pasquale Claudio Africa, Francesco Ballarin +3

This paper presents a projection-based reduced order modelling (ROM) framework for unsteady parametrized optimal control problems (OCPs) arising from cardiovascular (CV) ap…

math.NA2024★ 3 cited

High-order Discontinuous Galerkin Methods for the Monodomain and Bidomain Models

Federica Botta, Matteo Calafà, Pasquale C. Africa +2

This work aims at presenting a Discontinuous Galerkin (DG) formulation employing a spectral basis for two important models employed in cardiac electrophysiology, namely the monodom…

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.NA2022★ 1 cited

Scalable Recovery-based Adaptation on Quadtree Meshes for Advection-Diffusion-Reaction Problems

Pasquale Claudio Africa, Simona Perotto, Carlo de Falco

We propose a mesh adaptation procedure for Cartesian quadtree meshes, to discretize scalar advection-diffusion-reaction problems. The adaptation process is driven by a recovery-bas…

math.NA2022★ 4 cited

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

Michele Bucelli, Alberto Zingaro, Pasquale Claudio Africa +3

We propose a mathematical and numerical model for the simulation of the heart function that couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and in…

math.NA2022★ 120 cited

A comprehensive and biophysically detailed computational model of the whole human heart electromechanics

Marco Fedele, Roberto Piersanti, Francesco Regazzoni +6

While ventricular electromechanics is extensively studied, four-chamber heart models have only been addressed recently; most of these works however neglect atrial contraction. Inde…

math.NA2022★ 20 cited

A matrix-free high-order solver for the numerical solution of cardiac electrophysiology

Pasquale Claudio Africa, Matteo Salvador, Paola Gervasio +2

We propose a matrix-free solver for the numerical solution of the cardiac electrophysiology model consisting of the monodomain nonlinear reaction-diffusion equation coupled with a…

math.NA2021★ 52 cited

A geometric multiscale model for the numerical simulation of blood flow in the human left heart

Alberto Zingaro, Ivan Fumagalli, Luca Dede' +4

We present a new computational model for the numerical simulation of blood flow in the human left heart. To this aim, we use the Navier-Stokes equations in an Arbitrary Lagrangian…

math.NA2021

Electromechanical modeling of human ventricles with ischemic cardiomyopathy: numerical simulations in sinus rhythm and under arrhythmia

Matteo Salvador, Marco Fedele, Pasquale Claudio Africa +6

We developed a novel patient-specific computational model for the numerical simulation of ventricular electromechanics in patients with ischemic cardiomyopathy (ICM). This model re…

math.NA2021★ 17 cited

Integration of activation maps of epicardial veins in computational cardiac electrophysiology

Simone Stella, Christian Vergara, Massimiliano Maines +7

In this work we address the issue of validating the monodomain equation used in combination with the Bueno-Orovio ionic model for the prediction of the activation times in cardiac…

math.NA2021★ 128 cited

Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations

Roberto Piersanti, Pasquale C. Africa, Marco Fedele +4

Since myocardial fibers drive the electric signal propagation throughout the myocardium, accurately modeling their arrangement is essential for simulating heart electrophysiology (…

math.NA2020★ 9 cited

A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part II: numerical approximation

Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa +3

In the framework of accurate and efficient segregated schemes for 3D cardiac electromechanics and 0D cardiovascular models, we propose here a novel numerical approach to address th…

math.NA2020★ 12 cited

A cardiac electromechanics model coupled with a lumped parameters model for closed-loop blood circulation. Part I: model derivation

Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa +3

We propose an integrated electromechanical model of the human heart, with focus on the left ventricle, wherein biophysically detailed models describe the different physical phenome…