Key result
A mixed implicit-explicit numerical scheme for integrating the bidomain model of cardiac action potential propagation was faster than a fully explicit scheme with no increase in algorithmic complexity.
A new mixed implicit-explicit numerical scheme improves the computational efficiency of solving bidomain equations for cardiac action potential propagation.
May accelerate bidomain cardiac simulations; leaves open validation and adoption in research workflows.
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.
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Keener et al. (1998) studied Cardiac tissue action potential propagation (computational model). Mixed implicit-explicit numerical scheme vs. Fully explicit scheme was evaluated on Integration speed and algorithmic complexity. A mixed implicit-explicit numerical scheme for integrating the bidomain model of cardiac action potential propagation was faster than a fully explicit scheme with no increase in algorithmic complexity.
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