The role of dynamic instabilities in the initiation of reentry in diseased (remodeled) hearts
remains poorly explored. Using computer simulations, we studied the effects of altered Na+ …

We present a study of the convergence of different numerical schemes in the solution of the
Fitzhugh–Nagumo equations in the form of two coupled reaction diffusion equations for …

Fibrosis in atrial tissue can act as a substrate for persistent atrial fibrillation, and can be focal
or diffuse. Regions of fibrosis are associated with slowed or blocked conduction, and several …

This paper describes an extension of the so-called Rush-Larsen scheme, which is a widely
used numerical method for solving dynamic models of cardiac cell electrophysiology. The …

Abstract The Radial Point Interpolation Mixed Collocation (RPIMC) method is proposed in
this paper for transient analysis of diffusion problems. RPIMC is an efficient purely meshfree …

Realistic simulations of detailed, biophysics-based, multi-scale models often require very
high resolution and, thus, large-scale compute facilities. Existing simulation environments …

Strongly coupled cardiac electromechanical models can further our understanding of the
relative importance of feedback mechanisms in the heart, but computational challenges …

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 …

The adaptation lag of the QT interval after heart rate (HR) has been proposed as an
arrhythmic risk marker. Most studies have quantified the QT adaptation lag in response to …

Intracellular calcium (Ca) alternans in cardiac myocytes have been shown in many
experimental studies, and the mechanisms remain incompletely understood. We recently …