Literature DB >> 12779724

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

J. P. Keener1, K. Bogar.   

Abstract

A numerical scheme for efficient integration of the bidomain model of action potential propagation in cardiac tissue is presented. The scheme is a mixed implicit-explicit scheme with no stability time step restrictions and requires that only linear systems of equations be solved at each time step. The method is faster than a fully explicit scheme and there is no increase in algorithmic complexity to use this method instead of a fully explicit method. The speedup factor depends on the timestep size, which can be set solely on the basis of the demands for accuracy. (c) 1998 American Institute of Physics.

Year:  1998        PMID: 12779724     DOI: 10.1063/1.166300

Source DB:  PubMed          Journal:  Chaos        ISSN: 1054-1500            Impact factor:   3.642


  13 in total

1.  A computer model of engineered cardiac monolayers.

Authors:  Jong M Kim; Nenad Bursac; Craig S Henriquez
Journal:  Biophys J       Date:  2010-05-19       Impact factor: 4.033

2.  Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation.

Authors:  Christian Vergara; Simone Palamara; Domenico Catanzariti; Fabio Nobile; Elena Faggiano; Cesarino Pangrazzi; Maurizio Centonze; Massimiliano Maines; Alfio Quarteroni; Giuseppe Vergara
Journal:  Med Biol Eng Comput       Date:  2014-08-24       Impact factor: 2.602

Review 3.  Modeling defibrillation of the heart: approaches and insights.

Authors:  Natalia Trayanova; Jason Constantino; Takashi Ashihara; Gernot Plank
Journal:  IEEE Rev Biomed Eng       Date:  2011

4.  Rabbit-specific ventricular model of cardiac electrophysiological function including specialized conduction system.

Authors:  R Bordas; K Gillow; Q Lou; I R Efimov; D Gavaghan; P Kohl; V Grau; B Rodriguez
Journal:  Prog Biophys Mol Biol       Date:  2011-06-13       Impact factor: 3.667

Review 5.  Towards predictive modelling of the electrophysiology of the heart.

Authors:  Edward Vigmond; Fijoy Vadakkumpadan; Viatcheslav Gurev; Hermenegild Arevalo; Makarand Deo; Gernot Plank; Natalia Trayanova
Journal:  Exp Physiol       Date:  2009-03-06       Impact factor: 2.969

6.  Solving the coupled system improves computational efficiency of the bidomain equations.

Authors:  James A Southern; Gernot Plank; Edward J Vigmond; Jonathan P Whiteley
Journal:  IEEE Trans Biomed Eng       Date:  2009-05-19       Impact factor: 4.538

Review 7.  From mitochondrial ion channels to arrhythmias in the heart: computational techniques to bridge the spatio-temporal scales.

Authors:  Gernot Plank; Lufang Zhou; Joseph L Greenstein; Sonia Cortassa; Raimond L Winslow; Brian O'Rourke; Natalia A Trayanova
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2008-09-28       Impact factor: 4.226

8.  Efficient fully implicit time integration methods for modeling cardiac dynamics.

Authors:  Wenjun Ying; Donald J Rose; Craig S Henriquez
Journal:  IEEE Trans Biomed Eng       Date:  2008-12       Impact factor: 4.538

Review 9.  Solvers for the cardiac bidomain equations.

Authors:  E J Vigmond; R Weber dos Santos; A J Prassl; M Deo; G Plank
Journal:  Prog Biophys Mol Biol       Date:  2007-08-11       Impact factor: 3.667

10.  A fully implicit finite element method for bidomain models of cardiac electromechanics.

Authors:  Hüsnü Dal; Serdar Göktepe; Michael Kaliske; Ellen Kuhl
Journal:  Comput Methods Appl Mech Eng       Date:  2012-07-24       Impact factor: 6.756

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