Numerical solution of the bidomain equations

S Linge, J Sundnes, M Hanslien… - … Transactions of the …, 2009 - royalsocietypublishing.org
… modern computational methods has yet to be exploited for the solution of the bidomain model.
This paper reviews the development of numerical methods for solving the bidomain model…

A numerical method for the solution of the bidomain equations in cardiac tissue

JP Keener, K Bogar - Chaos: An Interdisciplinary Journal of Nonlinear …, 1998 - pubs.aip.org
… Since gearing up to the bidomain model is something that … require a rethinking of the
numerical algorithms used, it seems … method for numerical simulation of the bidomain equations. …

An efficient numerical technique for the solution of the monodomain and bidomain equations

JP Whiteley - IEEE Transactions on Biomedical Engineering, 2006 - ieeexplore.ieee.org
… The Numerical Algorithm We describe only the numerical algorithm for the bidomain
equations: the algorithm is analogous for the monodomain equations. We begin by describing the …

Computational techniques for solving the bidomain equations in three dimensions

EJ Vigmond, F Aguel… - IEEE Transactions on …, 2002 - ieeexplore.ieee.org
… This paper analyzed solving the bidomain equations using various methods and
techniques. First, the equations were recast into a decoupled form with parabolic and elliptic …

An efficient technique for the numerical solution of the bidomain equations

JP Whiteley - Annals of Biomedical Engineering, 2008 - Springer
… The Numerical Method … algorithm that may be used to solve the bidomain equations
numerically. We begin by writing down the bidomain equations, and the semi-implicit algorithm on …

A numerical guide to the solution of the bidomain equations of cardiac electrophysiology

P Pathmanathan, MO Bernabeu, R Bordas… - Progress in biophysics …, 2010 - Elsevier
… the bidomain equations can be a massively computationally demanding problem. This study
provides a comprehensive guide to numerical bidomain … of the bidomain equations, and …

Physiology driven adaptivity for the numerical solution of the bidomain equations

JP Whiteley - Annals of biomedical engineering, 2007 - Springer
… This is done by demonstrating numerically that an extremely … adaptive numerical method
for solving the bidomain equations … Although we consider only the bidomain model here, the …

[HTML][HTML] Solvers for the cardiac bidomain equations

EJ Vigmond, RW Dos Santos, AJ Prassl, M Deo… - Progress in biophysics …, 2008 - Elsevier
… Next we present the time discretization for the bidomain equations using a three-step
operator splitting scheme that involves the solution of the parabolic PDE (Eq. (9)), the elliptic …

Linear algebraic transformations of the bidomain equations: implications for numerical methods

N Hooke, CS Henriquez, P Lanzkron, D Rose - Mathematical biosciences, 1994 - Elsevier
… of the bidomain equations to obtain a numerically tractable form. … of obtaining a numerical
solution to the bidomain equations (6)-(S… these equations into various forms involving different …

Optimal monodomain approximations of the bidomain equations

BF Nielsen, TS Ruud, GT Lines, A Tveito - Applied Mathematics and …, 2007 - Elsevier
… how the bidomain equations can be approximated in an optimal manner by the solution of a
… is that this optimal solution can be computed without solving the bidomain model itself. The …