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…
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. …
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 …
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 …
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 …
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
… the bidomain equations can be a massively computationally demanding problem. This study
provides a comprehensive guide to numerical bidomain … of the bidomain equations, and …
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 …
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 …
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 …
solution to the bidomain equations (6)-(S… these equations into various forms involving different …
Optimal monodomain approximations of the bidomain equations
… 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 …
… is that this optimal solution can be computed without solving the bidomain model itself. The …
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