A cell-based framework for numerical modeling of electrical conduction in cardiac tissue
In this paper, we study a mathematical model of cardiac tissue based on explicit
representation of individual cells. In this EMI model, the extracellular (E) space, the cell …
representation of individual cells. In this EMI model, the extracellular (E) space, the cell …
Deriving the bidomain model of cardiac electrophysiology from a cell-based model; properties and comparisons
The bidomain model is considered to be the gold standard for numerical simulation of the
electrophysiology of cardiac tissue. The model provides important insights into the …
electrophysiology of cardiac tissue. The model provides important insights into the …
An efficient analytical approach for the solution of certain fractional-order dynamical systems
Mostly, it is very difficult to obtained the exact solution of fractional-order partial differential
equations. However, semi-analytical or numerical methods are considered to be an …
equations. However, semi-analytical or numerical methods are considered to be an …
In silico models for evaluating proarrhythmic risk of drugs
Safety evaluation of drugs requires examination of the risk of generating Torsade de Pointes
(TdP) because it can lead to sudden cardiac death. Until recently, the QT interval in the …
(TdP) because it can lead to sudden cardiac death. Until recently, the QT interval in the …
Efficient numerical solution of the EMI model representing the extracellular space (E), cell membrane (M) and intracellular space (I) of a collection of cardiac cells
The EMI model represents excitable cells in a more accurate manner than traditional
homogenized models at the price of increased computational complexity. The increased …
homogenized models at the price of increased computational complexity. The increased …
Efficient estimation of cardiac conductivities: A proper generalized decomposition approach
While the potential groundbreaking role of mathematical modeling in electrophysiology has
been demonstrated for therapies like cardiac resynchronization or catheter ablation, its …
been demonstrated for therapies like cardiac resynchronization or catheter ablation, its …
Space‐discretization error analysis and stabilization schemes for conduction velocity in cardiac electrophysiology
In cardiac electrophysiology, the propagation of the action potential may be described by a
set of reaction–diffusion equations known as the bidomain model. The shape of the solution …
set of reaction–diffusion equations known as the bidomain model. The shape of the solution …
A fast time integral finite difference method for a space-time fractional FitzHugh-Nagumo monodomain model in irregular domains
L Cai, J Cao, F Jing, Y Wang - Journal of Computational Physics, 2024 - Elsevier
This work aims at proposing a fast time integral (FTI) method for the space-time fractional
Fitzhugh-Nagumo (FHN) monodomain model in irregular domains, which is commonly used …
Fitzhugh-Nagumo (FHN) monodomain model in irregular domains, which is commonly used …
Electromechanical feedback with reduced cellular connectivity alters electrical activity in an infarct injured left ventricle: a finite element model study
ST Wall, JM Guccione, MB Ratcliffe… - American Journal of …, 2012 - journals.physiology.org
Myocardial infarction (MI) significantly alters the structure and function of the heart. As
abnormal strain may drive heart failure and the generation of arrhythmias, we used …
abnormal strain may drive heart failure and the generation of arrhythmias, we used …
A kernel-free boundary integral method for variable coefficients elliptic PDEs
W Ying, WC Wang - Communications in Computational Physics, 2014 - cambridge.org
This work proposes a generalized boundary integral method for variable coefficients elliptic
partial differential equations (PDEs), including both boundary value and interface problems …
partial differential equations (PDEs), including both boundary value and interface problems …