Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics

Please always quote using this URN: urn:nbn:de:0297-zib-9431
  • The dynamics of ventricular fibrillation caused by irregular excitation is simulated 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 multiscale reaction-diffusion problem is attacked by algorithms which are fully adaptive in both space and time (code library {\sc 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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Author:Peter Deuflhard, Bodo Erdmann, Rainer Roitzsch, Glenn Terje Lines
Document Type:ZIB-Report
Tag:Aliev-Panfilov model; adaptive Rothe method; adaptive finite elements; adaptive time integration; electrocardiology; reaction-diffusion equations
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Bxx Mathematical biology in general / 92B05 General biology and biomathematics
CCS-Classification:G. Mathematics of Computing / G.4 MATHEMATICAL SOFTWARE
Date of first Publication:2006/11/21
Series (Serial Number):ZIB-Report (06-49)
Published in:Appeared in: Computing and Visualization in Science 12 (2009) pp. 201-205