Mathematical models of the human heart are evolving to become a cornerstone of precision
medicine and support clinical decision making by providing a powerful tool to understand …

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

Digital twins of patients' hearts are a promising tool to assess arrhythmia vulnerability and to
personalize therapy. However, the process of building personalized computational models …

The aim of this paper is to introduce a new mathematical model that simulates myocardial
blood perfusion that accounts for multiscale and multiphysics features. Our model …

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 …

Objective: The bidomain model and the finite element method are an established standard
to mathematically describe cardiac electrophysiology, but are both suboptimal choices for …

Approximating the fast dynamics of depolarization waves in the human heart described by
the monodomain model is numerically challenging. Splitting methods for the PDE‐ODE …

Conduction velocity error is often the main culprit behind the need for very fine spatial
discretizations and high computational effort in cardiac electrophysiology problems. In light …

Biological structures are hierarchical and non-homogeneous objects. In particular, in each
type of the biological cell various organelles exist. Also, in the cell many nonlinear …

Mathematical models of the human heart increasingly play a vital role in understanding the
working mechanisms of the heart, both under healthy functioning and during disease. The …