TY - CHAP A1 - Wlodarczyk, Waldemar A1 - Nadobny, Johanna A1 - Wust, Peter A1 - Mönich, Gerhard A1 - Deuflhard, Peter A1 - Felix, Roland T1 - Systematic design of antennas for cylindrical 3D phased array hyperthermia applicator T2 - Proc. IEEE Antennas Propagat. Soc. Intern. Symposium, July 11-16, 1999, Orlando, FL, USA, Y1 - 1999 SP - 1004 EP - 1007 ER - TY - CHAP A1 - Wulkow, Michael A1 - Deuflhard, Peter ED - Fatunla, S. T1 - Towards an Efficient Computational Treatment of Heterogeneous Polymer Reactions T2 - Computational Ordinary Differential Equations Y1 - 1992 SP - 287 EP - 306 PB - University Press, Nigeria ER - TY - JOUR A1 - Wust, Peter A1 - Fahling, Horst A1 - Wlodarczyk, Waldemar A1 - Seebass, Martin A1 - Gellermann, Johanna A1 - Deuflhard, Peter A1 - Nadobny, Johanna T1 - Antenna arrays in the SIGMA-eye applicator JF - Med Phys Y1 - 2001 VL - 28 IS - 8 SP - 1793 EP - 1805 ER - TY - GEN A1 - Wust, Peter A1 - Felix, Roland A1 - Deuflhard, Peter T1 - Künstliches Fieber gegen Krebs Y1 - 1999 PB - Spektrum der Wissenschaft, pp. 78-84 (December 1999). ER - TY - JOUR A1 - Wust, Peter A1 - Gellermann, Johanna A1 - Beier, Jürgen A1 - Wegner, S. A1 - Tilly, Wolfgang A1 - Troger, J. A1 - Stalling, Detlev A1 - Oswald, H. A1 - Hege, Hans-Christian A1 - Deuflhard, Peter A1 - Felix, Roland T1 - Evaluation of segmentation algorithms for generation of patient models in radiofrequency hyperthermia JF - Phys Med Biol Y1 - 1998 VL - 43 SP - 3295 EP - 3307 ER - TY - JOUR A1 - Wust, Peter A1 - Nadobny, Johanna A1 - Felix, Roland A1 - Deuflhard, Peter A1 - John, W. A1 - Louis, Alfred T1 - Numerical approaches to treatment planning in deep RF-hyperthermia JF - Strahlenther Onkol Y1 - 1989 VL - 165 IS - 10 SP - 751 EP - 757 ER - TY - JOUR A1 - Wust, Peter A1 - Nadobny, Johanna A1 - Felix, Roland A1 - Deuflhard, Peter A1 - Louis, Alfred A1 - John, W. T1 - Strategies for optimized application of annular-phased-array systems in clinical hyperthermia JF - Int J Hyperthermia Y1 - 1991 VL - 7 SP - 157 EP - 173 ER - TY - CHAP A1 - Wust, Peter A1 - Nadobny, Johanna A1 - Gellermann, Johanna A1 - Seebass, Martin A1 - Stalling, Detlev A1 - Hege, Hans-Christian A1 - Deuflhard, Peter A1 - Budach, Volker A1 - Felix, Roland T1 - Patient Models and Algorithms for Hyperthermia Planning T2 - Proc. 16th Ann. Meeting Europ. Soc. Hyperthermic Oncology (ESHO-97), Berlin, Germany, April 1997 Y1 - 1997 SP - 75 ER - TY - JOUR A1 - Schaber, Karlheinz A1 - Ofenloch, Oliver A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Aerosolbildung in Gas/Flüssigkeits-Kontaktapparaten - Modellierungsstrategien und Simulation JF - Chemie Ingenieur Technik Y1 - 2004 VL - 76 IS - 9 SP - 1358 EP - 1359 ER - TY - JOUR A1 - Sreenivasa, G. A1 - Gellermann, Johanna A1 - Nadobny, Johanna A1 - Schlag, P. A1 - Deuflhard, Peter A1 - Felix, Roland A1 - Wust, Peter T1 - Clinical Use of the Hyperthermia Treatment Planning System Hyperplan to Predict Effectiveness and Toxicity JF - Int. J. Oncology Biol. Phys. Y1 - 2003 VL - 55 IS - 2 SP - 407 EP - 419 ER - TY - CHAP A1 - Stalling, Detlev A1 - Seebass, Martin A1 - Hege, Hans-Christian A1 - Wust, Peter A1 - Deuflhard, Peter A1 - Felix, Roland ED - Franconi, Cafiero T1 - HyperPlan - an integrated system for treatment planning in regional hyperthermia T2 - Proc. of the 7th Int. Congress on Hyperthermic Oncology, Rome, Italy, April 1996 Y1 - 1996 VL - 2 SP - 552 EP - 554 ER - TY - JOUR A1 - Weber, Marcus A1 - Kube, Susanna A1 - Walter, Lionel A1 - Deuflhard, Peter T1 - Stable Computation of Probability Densities of Metastable Dynamical Systems JF - SIAM J. Multiscale Model. Simul. Y1 - 2007 VL - 6 IS - 2 SP - 396 EP - 416 ER - TY - JOUR A1 - Weiser, Martin A1 - Schiela, Anton A1 - Deuflhard, Peter T1 - Asymptotic Mesh Independence of Newton’s Method Revisited JF - SIAM J. Num. Anal. Y1 - 2005 VL - 42 IS - 5 SP - 1830 EP - 1845 ER - TY - JOUR A1 - Weiser, Martin A1 - Deuflhard, Peter A1 - Erdmann, Bodo T1 - Affine conjugate adaptive Newton methods for nonlinear elastomechanics JF - Opt. Meth. Softw. Y1 - 2007 VL - 22 IS - 3 SP - 413 EP - 431 ER - TY - JOUR A1 - Wix, A. A1 - Schaber, Karlheinz A1 - Ofenloch, O. A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Simulation of Aerosol Formation in Gas-Liquid Contact Devices JF - Chem. Eng. Comm. Y1 - 2007 VL - 194 SP - 565 EP - 577 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Röblitz, Susanna T1 - A guide to numerical modelling in systems biology Y1 - 2015 SN - 978-3-319-20058-3 U6 - https://doi.org/10.1007/978-3-319-20059-0 VL - 12 PB - Springer ER - TY - CHAP A1 - Deuflhard, Peter A1 - Dössel, Olaf A1 - Louis, Alfred A1 - Zachow, Stefan T1 - Mehr Mathematik wagen in der Medizin T2 - acatech diskutiert, Produktionsfaktor Mathematik - Wie Mathematik Technik und Wirtschaft bewegt Y1 - 2008 U6 - https://doi.org/10.1007/978-3-540-89435-3 SP - 435 EP - 459 PB - Springer ER - TY - CHAP A1 - Deuflhard, Peter A1 - Dössel, Olaf A1 - Louis, Alfred A1 - Zachow, Stefan T1 - More Mathematics into Medicine! T2 - Production Factor Mathematics Y1 - 2010 UR - http://www.springer.com/mathematics/book/978-3-642-11247-8 SP - 357 EP - 378 PB - Springer ER - TY - JOUR A1 - Zachow, Stefan A1 - Deuflhard, Peter T1 - Computergestützte Planung in der kraniofazialen Chirurgie JF - Face 01/08, Int. Mag. of Orofacial Esthetics Y1 - 2008 SP - 43 EP - 49 PB - Oemus Journale Leipzig ER - TY - JOUR A1 - Weiser, Martin A1 - Zachow, Stefan A1 - Deuflhard, Peter T1 - Craniofacial Surgery Planning Based on Virtual Patient Models JF - it - Information Technology Y1 - 2010 U6 - https://doi.org/10.1524/itit.2010.0600 VL - 52 IS - 5 SP - 258 EP - 263 PB - Oldenbourg Verlagsgruppe ER - TY - JOUR A1 - Zachow, Stefan A1 - Hege, Hans-Christian A1 - Deuflhard, Peter T1 - Computer assisted planning in cranio-maxillofacial surgery JF - Journal of Computing and Information Technology Y1 - 2006 VL - 14(1) SP - 53 EP - 64 ER - TY - JOUR A1 - Deuflhard, Peter A1 - Röblitz, Susanna A1 - Stötzel, Claudia T1 - Mathematical Systems Biology at Zuse Institute Berlin (ZIB) JF - BioTOPics - Journal of Biotechnology in Berlin-Brandenburg Y1 - 2010 VL - 39 ER - TY - GEN A1 - Deuflhard, Peter A1 - Weber, Marcus ED - Deuflhard, Peter ED - Grötschel, Martin ED - Hömberg, Dietmar ED - Horst, Ulrich ED - Kramer, Jürg ED - Mehrmann, Volker ED - Polthier, Konrad ED - Schmidt, Frank ED - Skutella, Martin ED - Sprekels, Jürgen T1 - Mathematics without pain T2 - MATHEON-Mathematics for Key Technologies Y1 - 2014 U6 - https://doi.org/10.4171/137 VL - 1 SP - 26 EP - 28 PB - European Mathematical Society ER - TY - GEN A1 - Moualeu-Ngangue, Dany Pascal A1 - Röblitz, Susanna A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Parameter Identification for a Tuberculosis Model in Cameroon N2 - A deterministic model of tuberculosis in sub-Saharan Africa in general and Cameroon in particular including lack of access to the treatment and weak diagnose capacity is designed and analyzed with respect to its transmission dynamics. The model includes both frequency- and density-dependent transmissions. It is shown that the model is mathematically well-posed and epidemiologically reasonable. Solutions are non-negative and bounded whenever the initial values are non-negative. A sensitivity analysis of model parameters is performed and most sensitive parameters of the model are identified using a state-of-the-art Gauss-Newton Method. In particular, parameters representing the proportion of individuals having access to medical facilities have a large impact on the dynamics of the disease. It has been shown that an increase of these parameter values over the time can significantly reduce the disease burden in the population within the next 15 years. T3 - ZIB-Report - 13-72 KW - Tuberculosis, parameter identification, sensitivity analysis, Gauss-Newton method, Nonlinear dynamical systems. Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-43087 SN - 1438-0064 ER - TY - GEN A1 - Moualeu-Ngangue, Dany Pascal A1 - Weiser, Martin A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Optimal control for a tuberculosis model with undetected cases in Cameroon N2 - This paper considers the optimal control of tuberculosis through education, diagnosis campaign and chemoprophylaxis of latently infected. A mathematical model which includes important components such as undiagnosed infectious, diagnosed infectious, latently infected and lost-sight infectious is formulated. The model combines a frequency dependent and a density dependent force of infection for TB transmission. Through optimal control theory and numerical simulations, a cost-effective balance of two different intervention methods is obtained. Seeking to minimize the amount of money the government spends when tuberculosis remain endemic in the Cameroonian population, Pontryagin's maximum principle is used to characterize the optimal control. The optimality system is derived and solved numerically using the forward-backward sweep method (FBSM). Results provide a framework for designing cost-effective strategies for diseases with multiple intervention methods. It comes out that combining chemoprophylaxis and education, the burden of TB can be reduced by 80 % in 10 years T3 - ZIB-Report - 13-73 KW - Tuberculosis KW - Optimal control KW - Nonlinear dynamical systems Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-43142 SN - 1438-0064 ER - TY - JOUR A1 - Moualeu-Ngangue, Dany Pascal A1 - Röblitz, Susanna A1 - Ehrig, Rainald A1 - Deuflhard, Peter T1 - Parameter Identification in a Tuberculosis Model for Cameroon JF - PLOS ONE N2 - A deterministic model of tuberculosis in Cameroon is designed and analyzed with respect to its transmission dynamics. The model includes lack of access to treatment and weak diagnosis capacity as well as both frequency- and density-dependent transmissions. It is shown that the model is mathematically well-posed and epidemiologically reasonable. Solutions are non-negative and bounded whenever the initial values are non-negative. A sensitivity analysis of model parameters is performed and the most sensitive ones are identified by means of a state-of-the-art Gauss-Newton method. In particular, parameters representing the proportion of individuals having access to medical facilities are seen to have a large impact on the dynamics of the disease. The model predicts that a gradual increase of these parameters could significantly reduce the disease burden on the population within the next 15 years. Y1 - 2015 U6 - https://doi.org/10.1371/journal.pone.0120607 ER - TY - BOOK A1 - Deuflhard, Peter A1 - Weiser, Martin T1 - Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen Y1 - 2020 SN - 978-3-11-069168-9 U6 - https://doi.org/10.1515/9783110689655 PB - de Gruyter ET - 2 ER - TY - JOUR A1 - Deuflhard, Peter T1 - The Grand Four. Affine Invariant Globalizations of Newton's Method JF - Vietnam Journal of Mathematics Y1 - 2018 U6 - https://doi.org/10.1007/s10013-018-0301-3 VL - 46 IS - 4 SP - 761 EP - 777 ER - TY - GEN A1 - Nägel, Arne A1 - Deuflhard, Peter A1 - Wittum, Gabriel T1 - Efficient Stiff Integration of Density Driven Flow Problems N2 - The paper investigates the efficient use of a linearly implicit stiff integrator for the numerical solution of density driven flow problems. Upon choosing a one-step method of extrapolation type (code LIMEX), the use of full Jacobians and reduced approximations are discussed. Numerical experiments include nonlinear density flow problems such as diffusion from a salt dome (2D), a (modified) Elder problem (3D), the saltpool benchmark (3D) and a real life salt dome problem (2D). The arising linear equations are solved using either a multigrid preconditioner from the software package UG4 or the sparse matrix solver SuperLU. T3 - ZIB-Report - 18-54 KW - stiff integration for PDEs KW - linearly implicit Euler discretization Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-70891 SN - 1438-0064 ER - TY - GEN A1 - Franzone, Piero Colli A1 - Deuflhard, Peter A1 - Erdmann, Bodo A1 - Lang, Jens A1 - Pavarino, Luca Franco T1 - Adaptivity in Space and Time for Reaction-Diffusion Systems in Electrocardiology N2 - Adaptive numerical methods in space and time are introduced and studied for multiscale cardiac reaction-diffusion models in three dimensions. The evolution of a complete heartbeat, from the excitation to the recovery phase, is simulated with both the anisotropic Bidomain and Monodomain models, coupled with either a variant of the simple FitzHugh-Nagumo model or the more complex phase-I Luo-Rudy ionic model. The simulations are performed with the {\sc kardos} library, that employs adaptive finite elements in space and adaptive linearly implicit methods in time. The numerical results show that this adaptive method successfully solves these complex cardiac reaction-diffusion models on three-dimensional domains of moderate sizes. By automatically adapting the spatial meshes and time steps to the proper scales in each phase of the heartbeat, the method accurately resolves the evolution of the intra- and extra-cellular potentials, gating variables and ion concentrations during the excitation, plateau and recovery phases. T3 - ZIB-Report - 05-30 KW - reaction-diffusion equations KW - cardiac Bidomain and Monodomain models KW - adaptive finite elements KW - adaptive time integration Y1 - 2005 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-8649 ER - 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 -