TY - JOUR A1 - Dierkes, Thomas A1 - Röblitz, Susanna A1 - Wade, Moritz A1 - Deuflhard, Peter T1 - Parameter identification in large kinetic networks with BioPARKIN JF - CoRR - Computing Research Repository - arXiv.org Y1 - 2013 UR - arxiv.org/abs/1303.4928v2 VL - abs/1303.4928 ER - TY - GEN A1 - Deuflhard, Peter A1 - Erdmann, Bodo A1 - Roitzsch, Rainer A1 - Lines, Glenn Terje T1 - Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics N2 - 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). T3 - ZIB-Report - 06-49 KW - reaction-diffusion equations KW - Aliev-Panfilov model KW - electrocardiology KW - adaptive finite elements KW - adaptive time integration KW - adaptive Rothe method Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-9431 ER - TY - GEN A1 - Deuflhard, Peter A1 - Hege, Hans-Christian T1 - Die Vision einer individuellen quantitativen Medizin N2 - Die Autoren schreiben dieses Papier aus der eingeschränkten Sicht der Mathematik und der Informationstechnik. Um den speziellen Beitrag dieser Disziplinen überhaupt diskutieren zu können, sehen wir uns jedoch gezwungen, einen Rahmen abzustecken, den wir für das Jahr 2020 vorhersehen -- nach Wahrscheinlichkeit und aus unserem engeren fachlichen Blickwinkel. Vorab bitten wir schon einmal bei den medizinischen Fachleuten um Nachsicht, wenn wir uns in ihrem Revier allzu dillettantisch bewegen. Vielleicht fördert aber auch unser eingeschränkter Blickwinkel ansonsten unbedachte Aspekte zutage -- das hoffen wir zumindest. T3 - ZIB-Report - 05-47 Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-8805 ER - TY - GEN A1 - Deuflhard, Peter A1 - Klein, Rupert A1 - Reinefeld, Alexander A1 - Stüben, Hinnerk T1 - Power-User und Supercomputer N2 - Abstract-Sammlung zum gleichnamigen Workshop am ZIB vom 19.--20. Mai 1999 T3 - ZIB-Report - SC-99-19 KW - Benutzertreffen KW - Höchstleistungsrechner Nord KW - HLRN Y1 - 1999 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-4070 ER - TY - CHAP A1 - Nettesheim, Peter A1 - Schütte, Christof ED - Deuflhard, Peter ED - Hermans, J. ED - Leimkuhler, Benedict ED - Marks, A. ED - Reich, Sebastian ED - Skeel, R. T1 - Numerical Integrators for Quantum-Classical Molecular Dynamics T2 - Computational Molecular Dynamics Y1 - 1999 UR - http://publications.imp.fu-berlin.de/137/ VL - 4 SP - 396 EP - 411 PB - Springer ER - TY - CHAP A1 - Schütte, Christof A1 - Bornemann, Folkmar A. ED - Deuflhard, Peter ED - Hermans, J. ED - Leimkuhler, Benedict ED - Marks, A. ED - Reich, Sebastian ED - Skeel, R. T1 - Approximation Properties and Limits of the Quantum-Classical Molecular Dynamics Model T2 - Computational Molecular Dynamics Y1 - 1999 UR - http://publications.imp.fu-berlin.de/134/ VL - 4 SP - 380 EP - 395 PB - Springer ER - TY - JOUR A1 - Schütte, Christof A1 - Fischer, Alexander A1 - Huisinga, Wilhelm A1 - Deuflhard, Peter T1 - A Direct Approach to Conformational Dynamics based on Hybrid Monte Carlo JF - J. Comp. Phys Y1 - 1999 UR - http://publications.imp.fu-berlin.de/87/ U6 - https://doi.org/10.1006/jcph.1999.6231 VL - 151 IS - 1 SP - 146 EP - 168 ER - TY - CHAP A1 - Fischer, Alexander A1 - Schütte, Christof A1 - Deuflhard, Peter A1 - Cordes, Frank ED - Schlick, T. ED - Gan, H. T1 - Hierarchical Uncoupling-Coupling of Metastable Conformations T2 - Computational Methods for Macromolecules Y1 - 2002 UR - http://publications.imp.fu-berlin.de/128/ VL - 24 SP - 235 EP - 259 PB - Springer ER - TY - JOUR A1 - Deuflhard, Peter A1 - Huisinga, Wilhelm A1 - Fischer, Alexander A1 - Schütte, Christof T1 - Identification of Almost Invariant Aggregates in Reversible Nearly Uncoupled Markov Chains JF - Lin. Alg. Appl. Y1 - 2000 UR - http://publications.imp.fu-berlin.de/84/ U6 - https://doi.org/10.1016/S0024-3795(00)00095-1 VL - 315 IS - 1-3 SP - 39 EP - 59 ER - TY - CHAP A1 - Schütte, Christof A1 - Huisinga, Wilhelm A1 - Deuflhard, Peter ED - Fiedler, B. T1 - Transfer Operator Approach to Conformational Dynamics in Biomolecular Systems T2 - Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems Y1 - 2001 UR - http://publications.imp.fu-berlin.de/129/ SP - 191 EP - 223 PB - Springer ER - TY - CHAP A1 - Deuflhard, Peter A1 - Schütte, Christof ED - Hill, James ED - Moore, Ross T1 - Molecular Conformation Dynamics and Computational Drug Design T2 - Applied Mathematics Entering the 21st Century Y1 - 2004 UR - http://publications.imp.fu-berlin.de/125/ VL - 116 SP - 91 EP - 119 PB - SIAM ER - TY - CHAP A1 - Deuflhard, Peter A1 - Seebaß, Martin ED - Lai, Choi-Hong ED - Bjorstad, Petter ED - Cross, Mark ED - Widlund, Olof T1 - Adaptive Multilevel FEM as Decisive Tools in the Clinical Cancer Therapy Hyerthermia T2 - Proc. Eleventh International Conference on Domain Decomposition Methods in Sciences and Engineering Y1 - 1998 SP - 410 EP - 421 CY - Greenwich, UK ER - TY - CHAP A1 - Deuflhard, Peter A1 - Weiser, Martin ED - et al. Bristeau, M.-O. T1 - Local inexact Newton multilevel FEM for nonlinear elliptic problems T2 - Computational science for the 21st century Y1 - 1997 SP - 129 EP - 138 PB - Chichester: John Wiley & Sons. ER -