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Adaptive finite element simulation of ventricular fibrillation dynamics

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Computing and Visualization in Science

Abstract

The paper communicates simulation results (computations and visualizations) for the dynamics of ventricular fibrillation caused by irregular excitation in the frame of the monodomain model with an action potential model due to Aliev–Panfilov for a human 3D geometry. The numerical solution of this challenging multiscale reaction–diffusion problem is attacked by algorithms which are fully adaptive in both space and time (code library KARDOS). The obtained results clearly demonstrate an accurate resolution of the cardiac potential during the excitation and the plateau phases (in the regular cycle) as well as after a reentrant excitation (in the irregular cycle).

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Authors and Affiliations

  1. Zuse Institute Berlin, Takustr. 7, 14195, Berlin-Dahlem, Germany

    Peter Deuflhard, Bodo Erdmann & Rainer Roitzsch

  2. Department of Mathematics and Computer Science, Freie Universität Berlin, Arnimallee 6, 14159, Berlin-Dahlem, Germany

    Peter Deuflhard

  3. Simula Research Laboratory, P.O. Box 134, 1325, Lysaker, Norway

    Glenn Terje Lines

Authors
  1. Peter Deuflhard
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  2. Bodo Erdmann
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  3. Rainer Roitzsch
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  4. Glenn Terje Lines
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Corresponding author

Correspondence to Bodo Erdmann.

Additional information

Communicated by G. Wittum.

Supported by the DFG Research Center Matheon “Mathematics for key technologies” in Berlin.

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Deuflhard, P., Erdmann, B., Roitzsch, R. et al. Adaptive finite element simulation of ventricular fibrillation dynamics. Comput. Visual Sci. 12, 201–205 (2009). https://doi.org/10.1007/s00791-008-0088-y

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  • DOI: https://doi.org/10.1007/s00791-008-0088-y

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