The effect of cellular aging on the dynamics of spiral waves

doi:10.1088/1674-1056/23/12/120503

Abstract Cellular aging can result in deterioration of electrical coupling, the extension of the action potential duration, and lower excitability of the cell. Those factors are introduced into the Greenberg–Hastings cellular automaton model and the effects of the cellular aging on the dynamics of spiral waves are studied. The numerical results show that a 50% reduction of the coupling strength of aging cells has a little influence on spiral waves. If the coupling strength of aging cells equals zero, the ability for the medium to maintain spiral waves will be reduced by approximately 50% when the aging cell ratio increases from 0 to 0.5, where the reduction of cell excitability plays a major role in inducing disappearance of spiral waves. When the relevant parameters are properly chosen, the cellular aging can lead to the meandering of spiral waves, the emergence of the binary spiral waves, and even the disappearance of spiral waves via the stopping rotation or shrinkage of wave. Physical mechanisms of the above phenomena are analyzed briefly.

Keywords: discrete excitable medium Greenberg–Hastings model spiral wave cellular aging

Received: 08 May 2014
Revised: 13 July 2014
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. 11165004 and 11365003).

Corresponding Authors: Tang Guo-Ning
E-mail: tangguoning@mailbox.gxnu.edu.cn

Cite this article:

Deng Min-Yi (邓敏艺), Chen Xi-Qiong (陈茜琼), Tang Guo-Ning (唐国宁) The effect of cellular aging on the dynamics of spiral waves 2014 Chin. Phys. B 23 120503

[1]	Zaikin A N and Zhabotinsky A M 1970 Nature 225 535
[2]	Jakubith S, Rotermund H H, Engel W, von Oertzen A and Ertl G 1990 Phys. Rev. Lett. 65 3013
[3]	Glass L 1996 Physics Today 49 40
[4]	Fenton F H, Cherry E M, Hastings H M and Evans S J 2002 Chaos 12 852
[5]	Pertsov A M, Davidenko J M, Salomonsz R, Baxter W T and Jalife J 1993 Cir. Res. 72 631
[6]	Qu Z L, Xie F, Garfinkel A and Weiss J N 2000 Ann. Biomed. Eng. 28 755
[7]	Bai Y Q and Zhu X 2010 Chin. Phys. Lett. 27 048201
[8]	Qian Y, Mi Y and Huang X 2011 Int. J. Bifur. Chaos 21 1341
[9]	Qian Y 2012 Acta Phys. Sin. 61 158202 (in Chinese)
[10]	Tang D N and Tang G N 2010 Acta Phys. Sin. 59 2319 (in Chinese)
[11]	Qiu K, Tang J, Luo J M and Ma J 2013 Chin. Phys. Lett. 30 118701
[12]	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 026209
[13]	Liu G Q and Ying H P 2014 Chin. Phys. B 23 050502
[14]	Qian Y 2012 Chin. Phys. B 21 088201
[15]	Ma J, Tang J, Zhang A H and Ja Y 2009 Sci. China: Phys. Mech. Astron. 39 1754 (in Chinese)
[16]	Wang H Y, Hao Y J and Su J 2009 Chin. J. Gerontology 10 1315 (in Chinese)
[17]	Bernhard D and Laufer G 2008 Gerontology 54 24
[18]	Lakatta E G 2003 Circulation 107 490
[19]	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
[20]	Liu H Y, Yang C Y and Tang G N 2013 Acta Phys. Sin. 62 010505 (in Chinese)
[21]	Greenberg J M and Hastings S P 1978 SIAM J. Appl. Math. 34 515
[22]	Lakatta E G and Levy D 2003 Circulation 107 490
[23]	Guo G F, Wei H M and Tang G N 2012 Chin. Phys. Lett. 29 054203

[1]	Applying a global pulse disturbance to eliminate spiral waves in models of cardiac muscle Jian Gao(高见), Changgui Gu(顾长贵), and Huijie Yang(杨会杰). Chin. Phys. B, 2021, 30(7): 070501.
[2]	Unpinning the spiral waves by using parameter waves Lu Peng(彭璐) and Jun Tang(唐军). Chin. Phys. B, 2021, 30(5): 058202.
[3]	Exploring the role of inhibitory coupling in duplex networks Cui-Yun Yang(杨翠云), Guo-Ning Tang(唐国宁), Hai-Ying Liu(刘海英). Chin. Phys. B, 2017, 26(8): 088201.
[4]	Effects of abnormal excitation on the dynamics of spiral waves Min-Yi Deng(邓敏艺), Xue-Liang Zhang(张学良), Jing-Yu Dai(戴静娱). Chin. Phys. B, 2016, 25(1): 010504.
[5]	A cellular automaton model for the ventricular myocardium considering the layer structure Deng Min-Yi (邓敏艺), Dai Jing-Yu (戴静娱), Zhang Xue-Liang (张学良). Chin. Phys. B, 2015, 24(9): 090503.
[6]	Motion of spiral tip driven by local forcing in excitable media Liu Gui-Quan (刘贵泉), Ying He-Ping (应和平). Chin. Phys. B, 2014, 23(5): 050502.
[7]	The influence of long-range links on spiral waves and its application for control Qian Yu (钱郁). Chin. Phys. B, 2012, 21(8): 088201.
[8]	Elimination of spiral waves and spatiotemporal chaos by the synchronization transmission technology of network signals Zhang Qing-Ling(张庆灵), Lü Ling(吕翎), and Zhang Yi(张翼) . Chin. Phys. B, 2011, 20(9): 090514.
[9]	Spiral-wave dynamics in excitable medium with excitability modulated by rectangle wave Yuan Guo-Yong(袁国勇) . Chin. Phys. B, 2011, 20(4): 040503.
[10]	Synchronizing spiral waves in a coupled Rössler system Gao Jia-Zhen(高加振), Yang Shu-Xin(杨舒心), Xie Ling-Ling(谢玲玲), and Gao Ji-Hua(高继华) . Chin. Phys. B, 2011, 20(3): 030505.
[11]	Lattice Boltzmann simulation for the energy and entropy of excitable systems Deng Min-Yi(邓敏艺), Tang Guo-Ning(唐国宁), Kong Ling-Jiang(孔令江), and Liu Mu-Ren(刘慕仁) . Chin. Phys. B, 2011, 20(2): 020510.
[12]	Size transition of spiral waves using the pulse array method Xie Ling-Ling(谢玲玲) and Gao Ji-Hua(高继华). Chin. Phys. B, 2010, 19(6): 060516.
[13]	Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media Qian Yu(钱郁), Huang Xiao-Dong(黄晓东), Liao Xu-Hong(廖旭红), and Hu Gang(胡岗). Chin. Phys. B, 2010, 19(5): 050513.
[14]	Distributed predictive control of spiral wave in cardiac excitable media Gan Zheng-Ning(甘正宁) and Cheng Xin-Ming(成新明). Chin. Phys. B, 2010, 19(5): 050514.
[15]	Controlling intracellular Ca²⁺ spiral waves by the local agonist in the cell membrane Qiu Kang(仇康), Tang Jun(唐军), Ma Jun(马军), and Luo Ji-Ming(罗继明). Chin. Phys. B, 2010, 19(3): 030508.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

The effect of cellular aging on the dynamics of spiral waves

Cite this article:

Online attention