Ionic models with two state variables are routinely used in patient specific electro-physiology
simulations due to the small number of parameters to be constrained and their …

Objective: Computational models represent a novel framework for understanding the
mechanisms behind atrial fibrillation (AF) and offer a pathway for personalizing and …

Previous experimental evidence has shown the effect of temperature on the action potential
duration (APD). It has also been demonstrated that regional cooling of the heart can prolong …

The aim of this paper is to provide a complete mathematical analysis of the periodic
homogenization procedure that leads to the macroscopic bidomain model in cardiac …

Ionic models are used to describe the evolution of the electrical potential across the cardiac
cell membranes. The Mitchell-Schaeffer model is a simple two variables nonlinear ionic …

Embodiments of the invention provide a method and apparatus that allow for a personalised
heart tissue model to be generated, that models heart tissue electrophysiology behaviour at …

In this work, a modified coupling Lattice Boltzmann Model (LBM) in simulation of cardiac
electrophysiology is developed in order to capture the detailed activities of macro-to micro …

In this paper we present a modified bidomain model, derived with homogenization
technique from assumption of existence of diffusive inclusions in the cardiac tissue. The …

In the present paper, a new three-scale asymptotic homogenization method is proposed to
study the electrical behavior of the cardiac tissue structure with multiple heterogeneities at …

Mathematical modelling and numerical simulation in cardiac electrophysiology have already
been studied extensively. However, there is a clear lack of techniques and methodologies …