@misc{DeuflhardChairs2003, author = {Deuflhard, Peter and (Chairs), Hyung Yong Ra}, title = {Korean-German Bilateral Symposium on Scientific Computing}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-7778}, number = {04-02}, year = {2003}, abstract = {Collection of abstracts of the Korean-German Bilateral Symposium on Scientific Computing, Berlin January 15/16, 2004}, language = {en} } @misc{DeuflhardErdmannRoitzschetal.2006, author = {Deuflhard, Peter and Erdmann, Bodo and Roitzsch, Rainer and Lines, Glenn Terje}, title = {Adaptive Finite Element Simulation of Ventricular Fibrillation Dynamics}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9431}, number = {06-49}, year = {2006}, abstract = {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).}, language = {en} } @misc{DeuflhardHuisingaJahnkeetal.2007, author = {Deuflhard, Peter and Huisinga, Wilhelm and Jahnke, Tobias and Wulkow, Michael}, title = {Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9471}, number = {07-04}, year = {2007}, abstract = {\begin{abstract} In systems biology, the stochastic description of biochemical reaction kinetics is increasingly being employed to model gene regulatory networks and signalling pathways. Mathematically speaking, such models require the numerical solution of the underlying evolution equat ion, also known as the chemical master equation (CME). Up to now, the CME has almost exclusively been treated by Monte-Carlo techniques, the most prominent of which is the simulation algorithm suggest ed by Gillespie in 1976. Since this algorithm requires an update for each single reaction event, realizations can be computationally very costly. As an alternative, we here propose a novel approach, which focuses on the discrete partial differential equation (PDE) structure of the CME and thus allows to adopt ideas from adaptive discrete Galerkin methods (as designed by two of the present authors in 1989), which have proven to be highly efficient in the mathematical modelling of polyreaction kinetics. Among the two different options of discretizing the CME as a discrete PDE, the method of lines approach (first space, then time) and the Rothe method (first time, then space), we select the latter one for clear theoretical and algorithmic reasons. First numeric al experiments at a challenging model problem illustrate the promising features of the proposed method and, at the same time, indicate lines of necessary further research. \end{abstract}}, language = {en} } @misc{ReineckeDeuflhard2006, author = {Reinecke, Isabel and Deuflhard, Peter}, title = {A Complex Mathematical Model of the Human Menstrual Cycle}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9112}, number = {06-18}, year = {2006}, abstract = {This paper aims at presenting the complex coupled network of the human menstrual cycle to the interested community. Beyond the presently popular smaller models, where important network components arise only as extremely simplified source terms, we add: the GnRH pulse generator in the hypothalamus, receptor binding, and the biosynthesis in the ovaries. Simulation and parameter identification are left to a forthcoming paper.}, language = {en} } @inproceedings{GladilinZachowDeuflhardetal.2001, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {Validation of a Linear Elastic Model for Soft Tissue Simulation in Craniofacial Surgery}, volume = {4319}, booktitle = {Proc. SPIE Medical Imaging 2001}, editor = {Mun, Seong}, address = {San Diego, USA}, doi = {10.1117/12.428061}, pages = {27 -- 35}, year = {2001}, language = {en} } @inproceedings{GladilinZachowHegeetal.2001, author = {Gladilin, Evgeny and Zachow, Stefan and Hege, Hans-Christian and Deuflhard, Peter}, title = {FE-based heuristic approach for the estimation of person-specific facial mimics}, booktitle = {Proceedings of Euro-Par 2001: 5-th International Symposium on Computer Methods}, address = {Rome, Italy}, year = {2001}, language = {en} } @article{DeuflhardWeiserSeebass2000, author = {Deuflhard, Peter and Weiser, Martin and Seebaß, Martin}, title = {A New Nonlinear Elliptic Multilevel FEM Applied to Regional Hyperthermia}, volume = {3}, journal = {Comput. Visual. Sci.}, doi = {10.1007/PL00013546}, pages = {1 -- 6}, year = {2000}, language = {en} } @article{GellermannWustStallingetal.2000, author = {Gellermann, Johanna and Wust, Peter and Stalling, Detlev and Seebaß, Martin and Nadobny, Jacek and Hege, Hans-Christian and Deuflhard, Peter and Felix, Roland}, title = {Clinical evaluation and verification of the hyperthermia treatment planning system HyperPlan}, volume = {47(4)}, journal = {Int. J. Radiat. Oncol. Biol. Phys.}, doi = {10.1016/S0360-3016(00)00425-9}, pages = {1145 -- 1156}, year = {2000}, language = {en} } @inproceedings{GladilinZachowHegeetal.2001, author = {Gladilin, Evgeny and Zachow, Stefan and Hege, Hans-Christian and Deuflhard, Peter}, title = {Towards a Realistic Simulation of Individual Facial Mimics}, booktitle = {Vision Modeling and Visualization 2001 (VMV)}, address = {Stuttgart, Germany}, pages = {129 -- 134}, year = {2001}, language = {en} } @inproceedings{GladilinZachowDeuflhardetal.2001, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {A Biomechanical Model for Soft Tissue Simulation in Craniofacial Surgery}, booktitle = {Medical Imaging and Augmented Reality (MIAR)}, address = {Hong Kong, China}, doi = {10.1109/MIAR.2001.930276}, pages = {137 -- 141}, year = {2001}, language = {en} } @inproceedings{GladilinZachowDeuflhardetal.2001, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {Virtual Fibers: A Robust Approach for Muscle Simulation}, booktitle = {IX Mediterranean Conference on Medical and Biological Engineering and Computing (MEDICON)}, address = {Pula, Croatia}, pages = {961 -- 964}, year = {2001}, language = {en} } @inproceedings{GladilinZachowDeuflhardetal.2001, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {Validierung eines linear elastischen Modells f{\"u}r die Weichgewebesimulation in der Mund-Kiefer-Gesichtschirurgie}, booktitle = {Bildverarbeitung f{\"u}r die Medizin (BVM)}, address = {L{\"u}beck, Germany}, pages = {57 -- 61}, year = {2001}, language = {en} } @inproceedings{GladilinZachowDeuflhardetal.2003, author = {Gladilin, Evgeny and Zachow, Stefan and Deuflhard, Peter and Hege, Hans-Christian}, title = {Realistic prediction of individual facial emotion expressions for craniofacial surgery simulations}, volume = {5029}, booktitle = {Proc. SPIE medical Imaging 2003}, editor = {Galloway, Robert}, address = {San Diego, CA, USA}, doi = {10.1117/12.479584}, pages = {520 -- 527}, year = {2003}, language = {en} }