Yu. E. El'kin, A. V. Moskalenko, Ch. F. Starmer, “Spontaneous halt of spiral wave drift in homogeneous excitable media”, Mat. Biolog. Bioinform., 2:1 (2007), 73–81; Mat. Biolog. Bioinform., 2:1 (2007), 1

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Matematicheskaya Biologiya i Bioinformatika, 2007, Volume 2, Issue 1, Pages 73–81 (Mi mbb19)

This article is cited in 10 scientific papers (total in 10 papers)

Proceedings of The International Conference "Mathematical Biology and Bioinformatics"

Spontaneous halt of spiral wave drift in homogeneous excitable media

Yu. E. El'kin^a, A. V. Moskalenko^b, Ch. F. Starmer^c

^a Institute of Mathematical Problems of Biology, Russian Academy of Sciences
^b Institute for Theoretical and Experimental Biophysics, Pushchino, Moscow Region
^c Duke-NUS Graduate Medical School Singapore

Full-text PDF (598 kB) Citations (10)

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Abstract: In computer simulations, we found a new type of spiral wave drift in а homogeneous two-dimensional excitable medium, namely, a circular drift of the spiral wave with decrease of the drift velocity right up to its total cessation. We have investigated certain quantitative characteristics of the new spiral wave behavior. As a result, we have demonstrated that the new spiral wave behavior essentially differs from the types of its behavior that was known before. This discovery can improve comprehension of mechanisms of some potentially life-threatening cardiac arrhythmias.

Key words: excitable media, spiral waves, mathematical modeling, cardiac arrhythmia.

Received 12.04.2007, Published 24.04.2007

English version:
Mathematical Biology and Bioinformatics, 2007, Volume 2, Issue 1, Pages 1–9
DOI: https://doi.org/10.17537/2007.2.1

Document Type: Article

UDC: 577.3

Language: Russian

Citation: Yu. E. El'kin, A. V. Moskalenko, Ch. F. Starmer, “Spontaneous halt of spiral wave drift in homogeneous excitable media”, Mat. Biolog. Bioinform., 2:1 (2007), 73–81; Mat. Biolog. Bioinform., 2:1 (2007), 1–9

Citation in format AMSBIB

\Bibitem{ElkMosSta07}

\by Yu.~E.~El'kin, A.~V.~Moskalenko, Ch.~F.~Starmer

\paper Spontaneous halt of spiral wave drift in homogeneous excitable media

\jour Mat. Biolog. Bioinform.

\yr 2007

\vol 2

\issue 1

\pages 73--81

\mathnet{http://mi.mathnet.ru/mbb19}

\transl

\jour Mat. Biolog. Bioinform.

\yr 2007

\vol 2

\issue 1

\pages 1--9

\crossref{https://doi.org/10.17537/2007.2.1}

Linking options:

https://www.mathnet.ru/eng/mbb19

https://www.mathnet.ru/eng/mbb/v2/i1/p73

This publication is cited in the following 10 articles:

A. V. Moskalenko, S. A. Makhortykh, “Bifurkatsionnoe pyatno na parametricheskom portrete dvumernoi versii modeli Alieva—Panfilova”, Preprinty IPM im. M. V. Keldysha, 2024, 061, 44 pp.
Nazar Nikolayevich Nazarenko, Sergey Mikhailovich Pokhlebayev, Aleksandr Vladimirovich Malaev, Vladimir Vladislavovich Deryagin, Anastasia Vitalyevna Anukhina, “Ecological and coenotic groups of Southern Trans-Urals vascular plants flora and biotopes phytoindication”, Samara Journal of Science, 11:2 (2022), 85
A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh, “K voprosu o sovremennom sostoyanii teorii kolebanii”, Preprinty IPM im. M. V. Keldysha, 2019, 044, 32 pp.
A. V. Moskalenko, R. K. Tetuev, S. A. Makhortykh, “O sostoyanii issledovanii bifurkatsionnykh fenomenov pamyati i zapazdyvaniya”, Preprinty IPM im. M. V. Keldysha, 2019, 109, 44 pp.
L. G. Khanina, M. V. Bobrovsky, V. E. Smirnov, I. S. Grozovskaya, M. S. Romanov, N. V. Lukina, L. G. Isaeva, “Ground vegetation modeling through functional species groups and patches in the forest floor”, Mat. Biolog. Bioinform., 10:1 (2015), 15–33
A. M. Denisov, I. A. Pavelchak, “A numerical method for determining the localized initial condition for some mathematical models of the heart excitation”, Math. Models Comput. Simul., 5:1 (2013), 75–80
Pavelchak I.A., “Chislennyi metod opredeleniya parametrov v modelyakh fitts-khyu-nagumo i alieva-panfilova”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 13:1 (2012), 172–176 A numerical method of parameter reconstruction in the fitzhugh-nagumo and aliev-panfilov models
Pavelchak I.A., “Chislennyi metod opredeleniya lokalizovannogo nachalnogo usloviya v modelyakh fitts-khyu–nagumo i alieva–panfilova”, Vestnik Moskovskogo universiteta. Seriya 15: Vychislitelnaya matematika i kibernetika, 3 (2011), 7–13
S. E. Kurushina, A. A. Ivanov, Yu. V. Zhelnov, I. P. Zavershinskii, V. V. Maksimov, “Modelirovanie prostranstvenno-vremennykh struktur v sisteme khischnik-zhertva vo vneshnei fluktuiruyuschei srede”, Matem. modelirovanie, 22:10 (2010), 3–17
Kurushina S.E., Ivanov A.A., Zhelnov Yu.V., Zavershinskii I.P., Maksimov V.V., “Avtovolnovye struktury vo vneshnei fluktuiruyuschei srede”, Izv. Samarskogo nauchnogo tsentra RAN, 12:4 (2010), 41–50

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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