Approximate solution to the bidomain equations for defibrillation problems.

Salil G Patel; Bradley J Roth

doi:10.1103/physreve.71.021908

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Approximate solution to the bidomain equations for defibrillation problems.

Salil G Patel·Bradley J Roth

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Abstract

The bidomain model can be used for calculating the electrical potential in the heart during defibrillation. However, this model consists of a coupled system of two partial differential equations that are, in general, difficult and time consuming to solve. In this paper, we present an approximate, iterative method of solving the bidomain equations. After working out the general method, we apply it to four problems: (i) a cylindrical strand in a uniform electric field, (ii) a nonuniform electric field applied to tissue with straight fibers, (iii) a spherical heart in a uniform electric field, and (iv) a two-dimensional sheet of cardiac tissue with curving fibers. Finally, we analyze the general case of three dimensions.

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Action Potentials Animals Arrhythmias, Cardiac Electric Countershock Heart Conduction System Humans Membrane Potentials Models, Cardiovascular Models, Neurological Myocytes, Cardiac Therapy, Computer-Assisted Treatment Outcome Comparative Study Evaluation Study Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, P.H.S.Validation Study

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Salil G Patel, Bradley J Roth. 2005-02-23. Approximate solution to the bidomain equations for defibrillation problems.. https://doi.org/10.1103/physreve.71.021908

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