Nichtlineare Reaktions-Diffusions-Systeme

Drittmittelgeber:

Deutsche Forschungsgesellschaft

Beteiligte Wissenschaftler:

Prof. Dr. C.W. Cryer, Prof. Dr. T. Kuhn, Prof. Dr. H.-G. Purwins (Sprecher des Graduiertenkollegs)

Veröffentlichungen:

Ammelt, E., Yu. A. Astrov, and H.-G. Purwins: Hexagon Structures in a Two-Dimensional D.C.-Driven Gas Discharge SystemPhys. Rev. E 58, 7109-7117 (1998Hexagon Structures in a Two-Dimensional D.C.-Driven Gas Discharge System, Phys. Rev. E 58, 7109-7117 (1998)

Astrov, Yu. A., and H.-G. Purwins: Plasma Spots in a gas discharge system: birth, scattering and formation of molecules, eingereicht bei Phys. Lett. A (2000)

Aust, Sabine: Numerische Analyse und Simulation des Blutflusses durch künstliche Herzklappen, Diplomarbeit, Fachbereich Mathematik, Universität Münster (2000)

Bode, M., J. Fischer, O. Freyd, F.-J. Niedernostheide, and H.-J. Schulze: Hybrid Hardware for a Highly Parallel Search in the Context of Learning Classifiers, eingereicht bei Artificial Intelligence Journal (2000)

Bode, M., T. Hiester, G. Münster, and C. Wieczerkowski: The Long Time Asymptotics of Reaction-Diffusion Systems, wird veröffentlicht (2001)

Bringuier, E.: Electron Multiplication in ZnS-Type Electroluminescent Devices, J. Appl. Phys. 67, 7040 (1990)

Brauer, I., C. Punset, H.-G. Purwins, and J. P. Boeuf: Simulation of Self-Organized Filaments in a Dielectric Barrier Glow Discharge Plasma, J. Appl. Phys. 85, 7569-7572 (1999a)

Brauer, I., E. Ammelt, and H.-G. Purwins: Double Breakdowns in a Pattern Forming Dielectric Barrier Discharge System, Proc. XXIV Intern. Conf. on Phenomena in Ionized Gases (ICPIG),July 11-16, 1999, Warschau, 141-142 (1999b)

Brauer, I., M. Bode, E. Ammelt, and H.-G. Purwins: Traveling Pairs of Spots in a Periodically Driven Gas Discharge System, Phys. Rev. Lett. 84, 4101-4107 (2000a)

Brauer, I., C. Punset, J.-P. Boeuf, and H.-G. Purwins: Periodic Patterns of Filaments in a Dielectric Barrier Discharge System, eingereicht bei J. Appl. Phys. (2000b)

Budde, T: Modellierung des Herzzyklus, Diplomarbeit, Fachbereich Mathematik, Universität Münster (erscheint 2001)

Chopra G. C., B. D. Sleeman, J. Brindley, D. G. Knapp, A. V. Holden: Velocity and Stability of Solitary Planar Travelling Wave Solutions of Intracellular Ca2+, Bulletin of Mathematical Biology 61, 273-301 (1999)

Costa, K.D., P.J. Hunter, J.M. Rogers, Guccione, Jr., J.M., Lewis K. Waldman, Andrew D. McCulloch: A Three-Dimensional Finite Element Method for Large Elastic Deformations of Ventricular Myocardium. Part I: Cylindrical and Spherical Polar Coordinates, Journal of Biomechanical Engineering 118, 1-12 (1996)

Cryer, C.W., H. Navidi-Kasmai, P. P. Lunkenheimer, Klaus Redmann: Computation of the Alignment of Myocardial Contractile Pathways Using a Magnetic Tablet and an Optical Method, Technology and Health Care 5, 79-94 (1997)

Feng, W.: Coupled Systems of Reaction-Diffusion Equations and Applications, North Carolina State University (1988)

Fung, Y.-C.: Mathematical Representation of the Mechanical Properties of the Heart MuscleJ. Biomechanics 3, 381-404 (1970)

Fung, Y.-C.: Biomechanics: Motion, Flow, Stress and Growth, Springer-Verlag, New York (1990)

Fung, Y.-C.: Biomechanics: Mechanical Properties of Living Tissues, Springer-Verlag, New York, Second Edition (1993)

Fung, Y.-C.: Biomechanics Circulation, Second edition, Springer (1997)

He, Z.: Mathematical Models in Muscle by Periodic Stimuli, Marquette University, Wisconsin (1994)

Hermanus, P., M. Bovendeerd: The Mechanics of the Normal and Ischemic Left Ventricle During the Cardiac Cycle: A Numerical and Experimental Analysis, Rijksuniversiteit Limburg te Maastricht (1990)

Hitt, J. C., J. P. Bender, and J. F. Wager: Thin-Film Electroluminescent Device Physics Modeling, Critical Reviews in Solid State and Material Science, 25, 29-85 (2000)

Hiester, T.: Diplomarbeit, Universität Münster (2001)

Howard, W.E., O. Sahni, P.M. Alt: A Simple Model for the Hysteretic Behavior of ZnS:Mn Thin Film Electroluminescent Devices, J. Appl. Phys. 53, 639 (1982)

Keener, J., J. Sneyd: Mathematical Physiology, Springer Verlag, (1998)

Kim, J.-H.R., H. Maurer, Yu. A. Astrov, M. Bode, and H.-G. Purwins: High Speed Switch-On of a Semiconductor Gas Discharge Image Converter Using Optimal Control Methods, eingereicht bei Journal of Computational Physics (2000)

King, M. J., J. Corden, T. David, J. Fisher: Three-Dimensional, Time-Dependent Analysis of Flow Through a Bileaflet Mechanical Heart Valve: Comparison of Experimental and Numerical Results, Journal of Biomechanics 29(5), 609-618 (1996)

Kojic, M., S. Mijailovic, N. Zdravkovic: Modelling of Muscle Behavior by the Finite Element Method Using Hill's Three-Element Model, Int. J. Num. Meth. Engng 43, 941-953 (1998)

Liehr, A.W., M. Bode, and H.-G. Purwins: The Generation of Dissipative Quasi-Particles near Turing's Bifurcation in Three-Dimensional Reaction-Diffusion Systems Projekt, in: Krause, E. (Hrsg.), Jäger, W. (Hrsg.): High Performance Computing in Science and Engineering 2000. Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2000, Springer 2001 - wird veröffentlicht (2001)

Luecking, J.: Numerische Analyse und Simulation des Aktionpotentials im Herzen, Diplomarbeit, Fachbereich Mathematik, Universität Münster (erscheint 2001)

Müller, I., E. Ammelt, and H.-G. PurwinsMüller, I., E. Ammelt, and H.-G. PurwinsMüller, I., E. Ammelt, and H.-G. Purwins, Müller, I., E. Ammelt, and H.-G. Purwins: Selforganized Quasiparticles: Breathing Filaments in a Gas DischargeSystem, Phys. Rev. Lett. 82, 3428-3431 (1999a)

Müller, I., C. Punset, E. Ammelt, H.-G. Purwins, and J. P. Boeuf: Self-Organized Filaments in Dielectric Barrier Glow Discharges, IEEE Plasma Science, Sonderband 27, 20-21 (1999b)

Neyts, K.A., P. de Visschere: Analytical Model for Thin-Film Electroluminescent Devices, J. Appl. Phys. 68, 4163 (1990)

Panfilov, A.V.: Three-Dimensional Organization of Electrical Turbulence in the Hear, tPhys. Rev. E 59, R6251-R6254 (1999)

Pao, C. V.: Nonlinear Parabolic And Elliptic Equations, Plenum Press( 1992)

Piepenbreier, K.: Mathematische Modellierung eines Muskels, Diplomarbeit, Fachbereich Mathematik, Universität Münster (erscheint 2001)

Portsel, L.M., Yu. A. Astrov, I. Reimann, E. Ammelt, and H.-G. Purwins: High Speed Conversion of Infrared Images with a Planar Gas Discharge System, J. Appl. Phys. 85, 3960-3965 (1999)

Purwins, H.-G., Yu. A. Astrov, I. Brauer: Self-Organized Quasi Particles and Other Patterns in Planar Gas-Discharge Systems, in: Proceedings 5th Experimental Chaos Conference, edited by M. Ding, W. Ditto, L. Pecora, M. Spano, and M. Shlesinger, World Scientific, Singapore (2000)

Raker, T., S. Zuccaro, T. Kuhn, F.-J. Niedernostheide, H.-G. Purwins: Experimental and Theoretical Analysis of Charge Carrier Transport in ZnS:Mn Electrolumninescent Devices, wird veröffentlicht (2001)

Reininghaus, E.: Mathematische Modellierung des Gasaustauches in der Lunge, Diplomarbeit, Fachbereich Mathematik, Universität Münster (erscheint 2001)

Rogers, Jack M., Andrew D. McCulloch: A collocation-Galerkin finite element model of cardiac action potential propagation, IEEE Trans. Biomed. Eng. 41, 743-757 (1994)

Schenk, C.P., A. W. Liehr, M. Bode, and H.-G. Purwins: Quasi-Particles in a Three-Dimensional Three-Component Reaction-Diffusion System, in: E. Krause, W. Jäger (Eds.): High Performance Computing in Science and Engineering 1999Springer, 2000, 355-364 (2000a)

Schenk, C. P., A. W. Liehr, M. Bode, and H.-G. Purwins: Interaction of Two- and Threedimensional Moving Localized Solutions in a Three-Component Reaction-Diffusion-Model: A Particle Approach, eingereicht bei Physica D (2000b)

Soppe, P.: Numerische Modellierung und grafische Darstellung der Gesichtmuskeln mit 3DstudioMaxDiplomarbeit, Fachbereich Mathematik, Universität Münster (erscheint 2001) Numerische Modellierung und grafische Darstellung der Gesichtmuskeln mit 3DstudioMax, Diplomarbeit, Fachbereich Mathematik, Universität Münster (erscheint 2001)

Strümpel, C., Yu. A. Astrov, E. Ammelt, and H.-G. Purwins: Dynamics of Zigzag Destabilized Solitary Stripes in a DC-Driven Pattern-Forming Semiconductor Gas-Discharge System, Phys. Rev. E 61, 4899-4905 (2000a)

Strümpel, C., Yu. A. Astrov, and H.-G. Purwins: Nonlinear Interaction of Homogeneously Oscillationg Domains in a Planar Gas Discharge SystemPhys. Rev. E 62, 4889-4897 (2000b)

Strümpel, C., and H.-G. Purwins: Spatiotemporal Filamentary Patterns in a DC-Driven Planar Gas Discharge System, Phys. Rev. E 63, 026409 (2001a)

Strümpel, C., Yu. A. Astrov, H.-G. Purwins: Coexistence of Multiple Oscillatory States in a Pattern Forming System, wird veröffentlicht (2001b)

Vlasenko, N.A., Denisova, Z.L., Veligura, S., Zuccaro, S., Niedernostheide, F.-J., and H.-G. Purwins: Self-Organized Effects and Their Origin in ZnS:Mn TFEL Devices, Proceedings of the VIIIth International Symposium "Advanced Display Technologies", October 10-14, 1999, Novy Svit, Crimea, Ukraine (1999)

Vlasenko, N.A., Denisova, Z.L., Veligura, S., Zuccaro, S., Niedernostheide, F.-J., and H.-G. Purwins: Energy Levels of Defects in Electroluminescent ZnS:Mn Thin Films Exhibiting Hysteresis and Self-Organized Patterns, Journal of Crystal Growth, 214/215, 944-949 (2000a)

Vlasenko, N.A., Denisova, Kononets, Ya., Z.L., Veligura, S., Gumenyuk, I., Zuccaro, S.,Niedernostheide, F.-J., and H.-G. Purwins: Effect of Insulator Layer Properties in ZnS:Mn AC TFEL Structures on Self-Organized Patterns, Proceedings of 10th International Workshop on Inorganic and Organic Electroluminescence, Dec.2000, Hamamatsu, Japan, p. 85-88 (2000b)

Zuccaro, S., F.-J. Niedernostheide, B. Kukuk, M. Strych, and H.-G. Purwins: Solitary Current-Density Patterns in Thin ZnS:Mn Films, Phys. Rev. E 61 1284-1289 (2000)