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).
Author: | Peter Deuflhard, Bodo Erdmann, Rainer Roitzsch, Glenn Terje Lines |
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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) |
ZIB-Reportnumber: | 06-49 |
Published in: | Appeared in: Computing and Visualization in Science 12 (2009) pp. 201-205 |