In this paper we present a numerical method for the bidomain model,
which describes the electrical activity in the heart. The model consists
of two partial differential equations (PDEs), which are coupled to
systems of ordinary differential equations (ODEs) describing electrochemical
reactions in the cardiac cells. Many applications require coupling
these equations to a third PDE, describing the electrical fields
in the torso surrounding the heart. The resulting system is challenging
to solve numerically, because of its complexity and very strict resolution
requirements in time and space. We propose a method based on operator
splitting and a fully coupled discretization of the three PDEs. Numerical
experiments show that for simple simulation cases and fine discretizations,
the algorithm is second-order accurate in space and time.
%0 Journal Article
%1 Sund_2005_233
%A Sundnes, Joakim
%A Lines, Glenn Terje
%A Tveito, Aslak
%D 2005
%J Mathematical biosciences
%K 15854678 Algorithms, Body Capacitance, Cardiac, Cardiovascular, Comparative Computer Conduction Conductivity, Electric Electrocardiography, Electrochemistry, Electrophysiology, Endocardium, Gov't, Heart Heart, Humans, Ischemia, Mapping, Models, Myocardial Myocytes, Neurological, Non-U.S. Potential Research Simulation, Study, Support, Surface Synaptic System, Transmission, Ventricles,
%N 2
%P 233--248
%R 10.1016/j.mbs.2005.01.001
%T An operator splitting method for solving the bidomain equations coupled
to a volume conductor model for the torso
%U http://dx.doi.org/10.1016/j.mbs.2005.01.001
%V 194
%X In this paper we present a numerical method for the bidomain model,
which describes the electrical activity in the heart. The model consists
of two partial differential equations (PDEs), which are coupled to
systems of ordinary differential equations (ODEs) describing electrochemical
reactions in the cardiac cells. Many applications require coupling
these equations to a third PDE, describing the electrical fields
in the torso surrounding the heart. The resulting system is challenging
to solve numerically, because of its complexity and very strict resolution
requirements in time and space. We propose a method based on operator
splitting and a fully coupled discretization of the three PDEs. Numerical
experiments show that for simple simulation cases and fine discretizations,
the algorithm is second-order accurate in space and time.
@article{Sund_2005_233,
abstract = {In this paper we present a numerical method for the bidomain model,
which describes the electrical activity in the heart. The model consists
of two partial differential equations (PDEs), which are coupled to
systems of ordinary differential equations (ODEs) describing electrochemical
reactions in the cardiac cells. Many applications require coupling
these equations to a third PDE, describing the electrical fields
in the torso surrounding the heart. The resulting system is challenging
to solve numerically, because of its complexity and very strict resolution
requirements in time and space. We propose a method based on operator
splitting and a fully coupled discretization of the three PDEs. Numerical
experiments show that for simple simulation cases and fine discretizations,
the algorithm is second-order accurate in space and time.},
added-at = {2009-06-03T11:20:58.000+0200},
author = {Sundnes, Joakim and Lines, Glenn Terje and Tveito, Aslak},
biburl = {https://www.bibsonomy.org/bibtex/20aa703e0ca3d5ed4952c798437cb7c62/hake},
description = {The whole bibliography file I use.},
doi = {10.1016/j.mbs.2005.01.001},
file = {Sund_2005_233.pdf:Sund_2005_233.pdf:PDF},
interhash = {c79deb1df04c4592423268d22d490ff0},
intrahash = {0aa703e0ca3d5ed4952c798437cb7c62},
journal = {Mathematical biosciences},
key = 253,
keywords = {15854678 Algorithms, Body Capacitance, Cardiac, Cardiovascular, Comparative Computer Conduction Conductivity, Electric Electrocardiography, Electrochemistry, Electrophysiology, Endocardium, Gov't, Heart Heart, Humans, Ischemia, Mapping, Models, Myocardial Myocytes, Neurological, Non-U.S. Potential Research Simulation, Study, Support, Surface Synaptic System, Transmission, Ventricles,},
month = Apr,
number = 2,
pages = {233--248},
pmid = {15854678},
timestamp = {2009-06-03T11:21:33.000+0200},
title = {An operator splitting method for solving the bidomain equations coupled
to a volume conductor model for the torso},
url = {http://dx.doi.org/10.1016/j.mbs.2005.01.001},
volume = 194,
year = 2005
}