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math.NA2026

A mathematical model for irreversible damage of the collagen scaffold in the myocardium

Irena Radišić, Francesco Regazzoni, Luca Dede' +1

We propose a dissipative, irreversible damage model for anisotropic media in large deformations to address the damage process of the myocardium following a cardiac infarction. We m…

math.NA2026

The functional impact of myofiber macroscopic organization and disarray in computational models of the murine heart

Carlo Guastamacchia, Roberto Piersanti, Francesco Giardini +5

A major challenge in computational models of cardiac electromechanics is the reconstruction of myocardial fiber architecture, as direct in vivo measurements of fiber orientation ar…

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…