Effects of abnormal excitation on the dynamics of spiral waves

doi:10.1088/1674-1056/25/1/010504

Abstract The effect of physiological and pathological abnormal excitation of a myocyte on the spiral waves is investigated based on the cellular automaton model. When the excitability of the medium is high enough, the physiological abnormal excitation causes the spiral wave to meander irregularly and slowly. When the excitability of the medium is low enough, the physiological abnormal excitation leads to a new stable spiral wave. On the other hand, the pathological abnormal excitation destroys the spiral wave and results in the spatiotemporal chaos, which agrees with the clinical conclusion that the early after depolarization is the pro-arrhythmic mechanism of some anti-arrhythmic drugs. The mechanisms underlying these phenomena are analyzed.

Keywords: cellular automaton abnormal excitation transmembrane potential spiral wave

Received: 29 June 2015
Revised: 14 August 2015
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	87.18.Hf	(Spatiotemporal pattern formation in cellular populations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11365003 and 11165004).

Corresponding Authors: Min-Yi Deng
E-mail: dengminyi@mailbox.gxnu.edu.cn

Cite this article:

Min-Yi Deng(邓敏艺), Xue-Liang Zhang(张学良), Jing-Yu Dai(戴静娱) Effects of abnormal excitation on the dynamics of spiral waves 2016 Chin. Phys. B 25 010504

[1]	Jakubith S, Rotermund H H, Engel W, Oertzen A V and Ertl G 1990 Phys. Rev. Lett. 65 3013
[2]	Larionova Y, Egorov O, Cabrera-Granado E and Esteban-Martin A 2005 Phys. Rev. A 72 033825
[3]	Ma J, Zhang A H, Tang J and Jin W Y 2010 J. Biol. Syst. 18 243
[4]	Zhang L S, Gu W F, Hu G and Mi Y Y 2014 Chin. Phys. B 23 108902
[5]	Petrov V, Ouyang Q and Swinney H L 1997 Nature 388 655
[6]	Nejad T M, Lannaccone S, Rutherford W, lannaccone P M and Foster C D 2015 Biomech. Model. Mechanobiol. 14 107
[7]	Liu G Q, Wu N J and Ying H P 2013 Commun. Nonlinear Sci. 18 2398
[8]	Zhao Y H, Lou Q, Chen J X, Sun W G, Ma J and Ying H P 2013 Chaos 23 033141
[9]	Zhang H, Chen J X, Li Y Q and Xu J R 2006 J. Chem. Phys. 125 204503
[10]	Li W H, Li W X, Pan F and Tang G N 2014 Acta Phys. Sin. 63 208201 (in Chinese)
[11]	Keldermann R H, Nash M P, Gelderblom H, Wang V Y and Panfilov A V 2010 Am. J. Physiol. Heart Circ. Physiol. 299 H134
[12]	Xie F G, Qu Z L, Garfinkel A and Weiss J N 2001 Am. J. Physiol. Heart Circ. Physiol. 280 H535
[13]	Weiss J N, Garfinkel A, Karagueuzian H S, Chen P S and Qu Z L 2010 Heart Rhythm 7 1891
[14]	Nasha M P and Panfilov A V 2004 Prog. Biophys. Mol. Biol. 85 501
[15]	Yan Q, Guan D L, Yang H and Yan H W 2012 A Concise Handbook of Electrocardiogram (Beijing: People's Medical Publishing House) (in Chinese)
[16]	Gottlieb S S 1989 Am. Heart J. 118 1074
[17]	January C T and Moscucci A 1992 Ann. NY Acad. Sci. 644 23
[18]	Ye P, Grosu R, Smolka S A and Entcheva E 2008 Lect. Notes Comput. Sci. 5307 141
[19]	Pol L C, Deyell M W, Frankel D S, Benhayon D, Squara F, Chik W, Kohari M, Deo R and Marchlinski F E 2014 Heart Rhythm 11 299
[20]	Wei H M and Tang G N 2011 Acta Phys. Sin. 60 030501 (in Chinese)
[21]	Antzelevitch C 2001 Cardiovasc. Res. 50 426
[22]	Chen J X, Mao J W, Hu B B, Xu J R, He Y F, Li Y and Yuan X P 2009 Phys. Rev. E 79 066209
[23]	Stein M, van Veen T A B, Hauer R N W, de Bakker J M T and van Rijen H V M 2011 PLoS ONE 6 1
[24]	Otani N F 2002 Chaos 12 829
[25]	Levy D, Garrison R J, Savage D D, Kannel W B and Castelli W P 1990 New Engl. J. Med. 322 1561

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