Adaptive Cardiac Simulation
A quantitative understanding of the heart function is crucial for several cardiac therapies, ranging from ablation or resynchronization therapy to valve replacement. The electrical myocard excitation is described by the mono- or bidomain equations, a set of reaction-diffusion equations for the transmembrane voltage and a set of pointwise ODEs for the ion concentrations and ion channels. Due to very different temporal and spatial scales involved, the numerical simulation is rather expensive. In this project we develop different structure-exploiting integration methods for mono- and bidomain equations, in order to reduce the computational effort while controlling the discretization error.
Publications
2020
2018
2017
2016
2015
2014
2013
2013
2010
2009
2008
2007
2020 |
|||
Fatemeh Chegini, Alena Kopanicakova, Rolf Krause, Martin Weiser | Efficient Identification of Scars using Heterogeneous Model Hierarchies | EP Europace, 2020 (accepted for publication) |
BibTeX
DOI |
Peter Deuflhard, Martin Weiser | Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen | de Gruyter, 2, 2020, ISBN: 978-3-11-069168-9 |
BibTeX
DOI |
2018 |
|||
Nicholas J. Tierney, Antonietta Mira, J. Jost Reinhold, Martin Weiser, Roman Burkart, Claudio Benvenuti, Angelo Auricchio | Novel relocation methods for automatic external defibrillator improve out-of-hospital cardiac arrest coverage under limited resources | Resuscitation, pp. 83-89, 2018 |
BibTeX
DOI |
2017 |
|||
Martin Weiser, Simone Scacchi | Spectral Deferred Correction methods for adaptive electro-mechanical coupling in cardiac simulation | G. Russo et al.(eds.) Progress in Industrial Mathematics at ECMI 2014, pp. 321-328, 2017 (preprint available as ZIB-Report 14-22) |
PDF (ZIB-Report)
BibTeX DOI |
2016 |
|||
Adrian Sali | Coupling of Monodomain and Eikonal Models for Cardiac Electrophysiology | Master's thesis, Freie Universität Berlin, Martin Weiser (Advisor), 2016 (preprint available as ZIB-Report 16-50) |
PDF (ZIB-Report)
BibTeX |
2015 |
|||
Martin Weiser | Faster SDC convergence on non-equidistant grids by DIRK sweeps | BIT Numerical Mathematics, 55(4), pp. 1219-1241, 2015 (preprint available as ZIB-Report 13-30) |
PDF (ZIB-Report)
BibTeX DOI |
2014 |
|||
Sebastian Götschel, Chamakuri Nagaiah, Karl Kunisch, Martin Weiser | Lossy Compression in Optimal Control of Cardiac Defibrillation | J. Sci. Comput., 60(1), pp. 35-59, 2014 (preprint available as ZIB-Report 13-26) |
PDF (ZIB-Report)
BibTeX DOI |
2010 |
|||
Mathias Wilhelms, Gunnar Seemann, Martin Weiser, Olaf Dössel | Benchmarking Solvers of the Monodomain Equation in Cardiac Electrophysiological Modeling | Biomed. Engineer., Vol.55, pp. 99-102, 2010 |
BibTeX
DOI |
Martin Weiser | Delayed Residual Compensation for Bidomain Equations | AIP Conference Proceedings, Vol.1281, pp. 419-422, 2010 |
BibTeX
DOI |
Martin Weiser, Bodo Erdmann, Peter Deuflhard | On Efficiency and Accuracy in Cardioelectric Simulation | Progress in Industrial Mathematics at ECMI 2008, pp. 371-376, E. Wilson, A. Fitt, H. Ockendon, J. Norbury (Eds.), Springer, 2010 (preprint available as ZIB-Report 08-41) |
PDF (ZIB-Report)
BibTeX |
2009 |
|||
Peter Deuflhard, Bodo Erdmann, Rainer Roitzsch, Glenn Terje Lines | Adaptive Finite Element Simulation of Ventricular Dynamics | J. Computing and Visualization in Science, Vol.12, pp. 201-205, 2009 |
BibTeX
|
Hans Lamecker, Tomaso Mansi, Jatin Relan, Florence Billet, Maxime Sermesant, Nicholas Ayache, Hervé Delingette | Adaptive Tetrahedral Meshing for Personalized Cardiac Simulations | Proc. MICCAI Workshop on Cardiovascular Interventional Imaging and Biophysical Modelling (CI2BM), pp. 149-158, 2009 |
BibTeX
|
Martin Weiser | Pointwise Nonlinear Scaling for Reaction-Diffusion Equations | Appl. Num. Math., 59(8), pp. 1858-1869, 2009 (preprint available as ZIB-Report 07-45) |
PDF (ZIB-Report)
BibTeX |