Academic literature on the topic 'Excitable media'
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Journal articles on the topic "Excitable media"
Zykov, Vladimir. "Excitable media." Scholarpedia 3, no. 5 (2008): 1834. http://dx.doi.org/10.4249/scholarpedia.1834.
Full textColosimo, A. "Theory of excitable media." Journal of Electroanalytical Chemistry and Interfacial Electrochemistry 275, no. 2 (April 1989): 207–8. http://dx.doi.org/10.1016/0022-0728(89)87179-7.
Full textColosimo, A. "Theory of Excitable Media." Bioelectrochemistry and Bioenergetics 21, no. 2 (April 1989): 207–8. http://dx.doi.org/10.1016/0302-4598(89)80011-x.
Full textAndrecut, M. "A Simple Three-States Cellular Automaton for Modelling Excitable Media." International Journal of Modern Physics B 12, no. 05 (February 20, 1998): 601–7. http://dx.doi.org/10.1142/s0217979298000363.
Full textDavydov, Davydov, Morozov, Stolyarov, and Yamaguchi. "Autowaves in moving excitable media." Condensed Matter Physics 7, no. 3 (2004): 565. http://dx.doi.org/10.5488/cmp.7.3.565.
Full textHagberg, A., and E. Meron. "Propagation failure in excitable media." Physical Review E 57, no. 1 (January 1, 1998): 299–303. http://dx.doi.org/10.1103/physreve.57.299.
Full textKaramysheva, T. V. "Traveling waves in excitable media." Differential Equations 48, no. 3 (March 2012): 446–48. http://dx.doi.org/10.1134/s0012266112030172.
Full textVasiev, Bakthier, Florian Siegert, and Cornelis Weijer. "Multiarmed Spirals in Excitable Media." Physical Review Letters 78, no. 12 (March 24, 1997): 2489–92. http://dx.doi.org/10.1103/physrevlett.78.2489.
Full textTóth, Ágota, and Kenneth Showalter. "Logic gates in excitable media." Journal of Chemical Physics 103, no. 6 (August 8, 1995): 2058–66. http://dx.doi.org/10.1063/1.469732.
Full textMeron, Ehud. "Pattern formation in excitable media." Physics Reports 218, no. 1 (September 1992): 1–66. http://dx.doi.org/10.1016/0370-1573(92)90098-k.
Full textDissertations / Theses on the topic "Excitable media"
Theisen, Bjørn Bjørge. "Waves in Excitable Media." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2012. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-19373.
Full textSailer, Franz-Xaver. "Controlling excitable media with noise." Doctoral thesis, [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=980114284.
Full textArmstrong, Gavin Robert. "Chemical waves in excitable media." Thesis, University of Leeds, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427767.
Full textCourtemanche, Marc. "Reentrant waves in excitable media." Diss., The University of Arizona, 1993. http://hdl.handle.net/10150/186311.
Full textWeimar, Jörg Richard. "Cellular automata models for excitable media /." This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-03032009-040651/.
Full textWeimar, Jörg Richard. "Cellular automata models for excitable media." Thesis, Virginia Tech, 1991. http://hdl.handle.net/10919/41365.
Full textA cellular automaton is developed for simulating excitable media. First, general "masks" as discrete approximations to the diffusion equation are examined, showing how to calculate the diffusion coefficient from the elements of the mask. The mask is then combined with a thresholding operation to simulate the propagation of waves (shock fronts) in excitable media, showing that (for well-chosen masks) the waves obey a linear "speedcurvature" relation with slope given by the predicted diffusion coefficient. The utility of different masks in terms of computational efficiency and adherence to a linear speed-curvature relation is assessed. Then, a cellular automaton model for wave propagation in reaction diffusion systems is constructed based on these "masks" for the diffusion component and on singular perturbation analysis for the reaction component. The cellular automaton is used to model spiral waves in the Belousov-Zhabotinskii reaction. The behavior of the spiral waves and the movement of the spiral tip are analyzed. By comparing these results to solutions of the Oregonator PDE model, the automaton is shown to be a useful and efficient replacement for the standard numerical solution of the PDE's.
Master of Science
Beato, Valentina. "Noise-induced pattern formation in excitable media." [S.l.] : [s.n.], 2006. http://opus.kobv.de/tuberlin/volltexte/2007/1419.
Full textXu, Jinshan. "Dynamics and synchronization in biological excitable media." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2012. http://tel.archives-ouvertes.fr/tel-00776373.
Full textBorek, Bartlomiej. "Dynamics of heterogeneous excitable media with pacemakers." Thesis, McGill University, 2012. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=107795.
Full textLe coeur est un tissu hétérogène excitable qui contient des générateurs de rythme. Pour comprendre les règles fondamentales qui dirigent son comportement, il est utile d'étudier l'interaction entre la structure et la dynamique des modèles expérimentaux et mathématiques simplifiés. Dans cette thèse, j'utilise des modèles d'équations de FitzHugh-Nagumo. Ces modèles sont motivés par l'expérimentation avec des tissus cardiaques modifiés pour étudier comment les propriétés des conceptions influencent la dynamique d'ondes. Tout d'abord, une relation fonctionelle entre la densité des hétérogénéités distribuées au hasard et la vitesse de conduction est proposée dans un modèle numérique de deux dimensions de média hétérogènes excitables. Les transitions à l'onde rupturée sont différentes pour deux types de substrats hétérogènes. Les effets des régions automatiques sont alors considérés avec une étude théorique des transitions dans les ondes unidimensionelles des générateurs de rythme réinitialisés par une seule impulsion d'une distance. Des solutions d'ondes réfléchies se trouvent près de la discontinuité apparente de la courbe de transition de phase du système et deviennent des trajectoires plus complexes pour une discrétisation spatiale plus grossière du modèle. Enfin, les modèles d'ondes résultant de l'interaction de deux générateurs de rythme dans des médias hétérogènes excitables sont étudiés. Une nouvelle culture de tissu cardiaque de poussin est développée pour présenter la dynamique dominante déterminée par un générateur de rythme. Ce rythme stable subit des transitions à des modèles d'ondes réentrants plus complexes suivant l'induction de nouveaux générateurs de rythme, par l'application du bloqueur des canaux potassiques, E-4031. La dynamique est reproduite par le modèle FitzHugh-Nagumo, prévoyant l'effet de la taille du générateur de rythme et la densité de l'hétérogèneité sur la transition de l'onde rupturée et à la réentrée. Ces résultants contribuent à notre compréhension des mécanismes de média hétérogènes excitables avec des générateurs de rythme, dont les coeurs sains et malades.
Henze, Christopher Ernest. "Vortex filaments in three dimensional excitable media." Diss., The University of Arizona, 1993. http://hdl.handle.net/10150/186300.
Full textBooks on the topic "Excitable media"
F, Pastushenko V., and Chizmadzhev I͡U︡riĭ Aleksandrovich, eds. Theory of excitable media. New York: Wiley, 1987.
Find full textNATO Advanced Research Workshop on Nonlinear Wave Processes in Excitable Media (1989 Leeds, England). Nonlinear wave processes in excitable media. New York: Plenum Press, 1991.
Find full textHolden, Arun V., Mario Markus, and Hans G. Othmer, eds. Nonlinear Wave Processes in Excitable Media. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4899-3683-7.
Full textZykov, V. S. Simulation of wave processes in excitable media. Manchester: Manchester University Press, 1987.
Find full textMantel, Rolf-Martin. Periodic forcing and symmetry breaking of waves in excitable media. [s.l.]: typescript, 1997.
Find full text1943-, Othmer H. G., and National Science Foundation (U.S.), eds. Some mathematical questions in biology: The dynamics of excitable media. Providence, R.I: American Mathematical Society, 1989.
Find full textCurrey, Robert Peter. How to use excitable media models in the study and construction of mobile agent systems. Manchester: University of Manchester, 1996.
Find full textSinha, Sitabhra, and S. Sridhar. Patterns in Excitable Media. CRC Press, 2014. http://dx.doi.org/10.1201/b17821.
Full textSridhar, S., and Sitabhra Sinha. Patterns in Excitable Media. Taylor & Francis Group, 2019.
Find full textOthmer, Hans G., Mario Markus, and Arun V. Holden. Nonlinear Wave Processes in Excitable Media. Springer, 2014.
Find full textBook chapters on the topic "Excitable media"
Mikhailov, Alexander S. "Excitable Media." In Springer Series in Synergetics, 32–80. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-78556-6_3.
Full textMikhailov, Alexander S. "Excitable Media." In Springer Series in Synergetics, 32–80. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-97269-0_3.
Full textWinfree, Arthur T. "Excitable Kinetics and Excitable Media." In The Geometry of Biological Time, 258–302. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3484-3_9.
Full textGaylord, Richard J., and Kazume Nishidate. "Contagion in Excitable Media." In Modeling Nature, 155–71. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4684-9405-1_15.
Full textCourtemanche, Marc, and Alain Vinet. "Reentry in Excitable Media." In Interdisciplinary Applied Mathematics, 191–232. New York, NY: Springer New York, 2003. http://dx.doi.org/10.1007/978-0-387-21640-9_7.
Full textHakim, V. "Spirals in Excitable Media." In Nonlinear PDE’s in Condensed Matter and Reactive Flows, 149–67. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0307-0_7.
Full textBressloff, Paul C. "Waves in Excitable Neural Fields." In Waves in Neural Media, 271–318. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8866-8_7.
Full textLüneburg, Martin. "Structure Formation in Excitable Media." In Fractals in Biology and Medicine, 266–73. Basel: Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8501-0_23.
Full textMüller, Stefan C. "Vortex Formation in Excitable Media." In NATO ASI Series, 333–41. New York, NY: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-7847-1_24.
Full textKeener, James P. "Spiral Waves in Excitable Media." In Lecture Notes in Biomathematics, 115–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-93318-9_7.
Full textConference papers on the topic "Excitable media"
Parlitz, Ulrich. "EXCITABLE MEDIA AND CARDIAC DYNAMICS." In Conferência Brasileira de Dinâmica, Controle e Aplicações. SBMAC, 2011. http://dx.doi.org/10.5540/dincon.2011.001.1.0217.
Full textHayase, Yumino. "Self-replicating pulses in excitable media." In Third tohwa university international conference on statistical physics. AIP, 2000. http://dx.doi.org/10.1063/1.1291619.
Full textOsipov, Grigory V. "SUPPRESSION OF SPATIO-TEMPORAL CHAOS IN EXCITABLE MEDIA." In Proceedings of the IEEE Workshop. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792662_0051.
Full textGoryachev, Andrei. "Synchronization line defects in oscillatory and excitable media." In Stochastic dynamics and pattern formation in biological systems. AIP, 2000. http://dx.doi.org/10.1063/1.59938.
Full textDevanand and Jiten C. Kalita. "HOC simulation of Barkley model in excitable media." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON FRONTIERS IN INDUSTRIAL AND APPLIED MATHEMATICS (FIAM-2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5042181.
Full textGong, Xiyuan, Tetsuya Asai, and Masato Motomura. "Reaction-diffusion media with excitable oregonators coupled by memristors." In 2012 13th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA 2012). IEEE, 2012. http://dx.doi.org/10.1109/cnna.2012.6331440.
Full textZhou, Changsong, Jurgen Kurths, Zoltan Neufeld, and Istvan Z. Kiss. "Noise-sustained oscillation and synchronization of excitable media with stirring." In Second International Symposium on Fluctuations and Noise, edited by Zoltan Gingl. SPIE, 2004. http://dx.doi.org/10.1117/12.546755.
Full textSenter, James K., D. Wilson, and Amir Sadovnik. "Reinforcement Learning for Elimination of Reentrant Spiral Waves in Excitable Media." In 2020 American Control Conference (ACC). IEEE, 2020. http://dx.doi.org/10.23919/acc45564.2020.9147623.
Full textChernihovskyi, Anton, Christian E. Elger, and Klaus Lehnertz. "Analysis of synchronization phenomena in human electroencephalograms with nonlinear excitable media." In 2008 11th International Workshop on Cellular Neural Networks and Their Applications - CNNA 2008. IEEE, 2008. http://dx.doi.org/10.1109/cnna.2008.4588654.
Full textZhang, Huan, Guoyong Yuan, Hongling Fan, and Shaoying Chen. "Effect of Two-Part Inhomogeneity on Spiral Wave Dynamics in Excitable Media." In 2011 Fourth International Workshop on Chaos-Fractals Theories and Applications (IWCFTA). IEEE, 2011. http://dx.doi.org/10.1109/iwcfta.2011.50.
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