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

21 papers

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.OC2025

On an adjoint-based numerical approach for time-dependent optimal control problems of biomedical interest

Zahra Mirzaiyan, Pierfrancesco Siena, Pasquale Claudio Africa +2

This work develops a rigorous numerical framework for solving time-dependent Optimal Control Problems (OCPs) governed by partial differential equations, with a particular focus on…

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…

physics.med-ph2024

Mesh-Informed Reduced Order Models for Aneurysm Rupture Risk Prediction

Giuseppe Alessio D'Inverno, Saeid Moradizadeh, Sajad Salavatidezfouli +2

The complexity of the cardiovascular system needs to be accurately reproduced in order to promptly acknowledge health conditions; to this aim, advanced multifidelity and multiphysi…

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-…

physics.flu-dyn2023★ 2 cited

lifex-cfd: an open-source computational fluid dynamics solver for cardiovascular applications

Pasquale Claudio Africa, Ivan Fumagalli, Michele Bucelli +4

Computational fluid dynamics (CFD) is an important tool for the simulation of the cardiovascular function and dysfunction. Due to the complexity of the anatomy, the transitional re…

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…

cs.MS2022★ 79 cited

lifex: a flexible, high performance library for the numerical solution of complex finite element problems

Pasquale Claudio Africa

Numerical simulations are ubiquitous in mathematics and computational science. Several industrial and clinical applications entail modeling complex multiphysics systems that evolve…

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…

cs.MS2022★ 6 cited

An open tool based on lifex for myofibers generation in cardiac computational models

Pasquale C. Africa, Roberto Piersanti, Marco Fedele +2

Modeling the whole cardiac function involves the solution of several complex multi-physics and multi-scale models that are highly computationally demanding, which call for simpler…

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…