It is well known that heart failure (HF) typically coexists with atrial fibrillation (AF). However,
until now, no clear mechanism has been established that relates HF to AF. In this study, we …

We present the meshfree mixed collocation method (MCM) for cardiac electrophysiology
simulation. Capitalizing on the meshfree property of MCM, we introduce an immersed grid …

Spatial dispersion of repolarization is known to play an important role in arrhythmogenesis.
Electrotonic modulation of repolarization by the activation sequence has been observed in …

The bidomain and monodomain models are multiscale reaction-diffusion models that
describe the electrical activity in myocardial tissue. Because of the size and specific structure …

The cardiac bidomain model is a popular approach to study electrical behavior of tissues
and simulate interactions between the cells by solving partial differential equations. The …

Na+ and K+ channel-blocking drugs have anti-and proarrhythmic effects. Their effects during
fibrillation, however, remain poorly understood. We used computer simulation of a two …

Structural barriers to wave propagation in cardiac tissue are associated with a decreased
threshold for repolarization alternans both experimentally and clinically. Using computer …

The electrocardiogram (ECG) is one of the most significant outputs of a computational model
of cardiac electrophysiology because it relates the numerical results to clinical data and is a …

A multilevel hybrid Newton–Krylov–Schwarz (NKS) method is constructed and studied
numerically for implicit time discretizations of the Bidomain reaction–diffusion system in …

Mathematicalmodels of electric activity in cardiac tissue are becoming increasingly powerful
tools in the study of cardiac arrhythmias. Considered here are mathematical models based …