Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media

doi:10.1088/1674-1056/19/5/050513

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50513-050513.doi: 10.1088/1674-1056/19/5/050513

Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media

钱郁, 黄晓东, 廖旭红, 胡岗

Department of Physics, Beijing Normal University, Beijing 100875, China

收稿日期:2009-09-22 修回日期:2009-10-20 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10675020) and by the National Basic Research Program of China (973 Program) (Grant No.~2007CB814800).

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)^†

Department of Physics, Beijing Normal University, Beijing 100875, China

Received:2009-09-22 Revised:2009-10-20 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10675020) and by the National Basic Research Program of China (973 Program) (Grant No.~2007CB814800).

摘要/Abstract

摘要： This paper investigates antispiral wave breakup phenomena in coupled two-dimensional FitzHugh--Nagumo cells with self-sustained oscillation via Hopf bifurcation. When the coupling strength of the active variable decreases to a critical value, wave breakup phenomenon first occurs in the antispiral core region where waves collide with each other and spontaneously break into spatiotemporal turbulence. Measurements reveal for the first time that this breakup phenomenon is due to the mechanism of antispiral Doppler instability.

Abstract: This paper investigates antispiral wave breakup phenomena in coupled two-dimensional FitzHugh--Nagumo cells with self-sustained oscillation via Hopf bifurcation. When the coupling strength of the active variable decreases to a critical value, wave breakup phenomenon first occurs in the antispiral core region where waves collide with each other and spontaneously break into spatiotemporal turbulence. Measurements reveal for the first time that this breakup phenomenon is due to the mechanism of antispiral Doppler instability.

Key words: antispiral waves, break up, Doppler instability

中图分类号: (Cell locomotion, chemotaxis)

87.17.Jj

87.15.R- (Reactions and kinetics) 87.18.Hf (Spatiotemporal pattern formation in cellular populations)

钱郁, 黄晓东, 廖旭红, 胡岗. Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media[J]. 中国物理B, 2010, 19(5): 50513-050513.

Qian Yu(钱郁), Huang Xiao-Dong(黄晓东), Liao Xu-Hong(廖旭红), and Hu Gang(胡岗). Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media[J]. Chin. Phys. B, 2010, 19(5): 50513-050513.

参考文献 28

[1]	Winfree A T 1987 When Time Breaks Down (Princeton:Princeton University Press)
[2]	Kapral R and Showalter K 1995 Chemical Waves and Pat-tern (Dordrecht: Kluwer)
[3]	Murray J 1989 Mathematical Biology (Berlin: Springer)
[4]	Yamada T and Kuramoto Y 1976 Prog. Theor. Phys. 55 2035
[5]	Selpuchre J A, Dewel G and Babloyantz A 1990 Phys.Lett. A 147 380
[6]	Vanag V K and Epstein I R 2001 Science 294 835
[7]	Vanag V K and Epstein I R 2001 Phys. Rev. Lett. 87 228301
[8]	Vanag V K and Epstein I R 2002 Phys. Rev. Lett. 88 088303
[9]	Gong Y F and Christini D J 2003 Phys. Rev. Lett. 90 088302
[10]	Brush L, Nicola E M and B¨ar M 2004 Phys. Rev. Lett. 92 089901
[11]	Nicola E M, Brush L and B¨ar M 2004 J. Phys. Chem. B 108 14733
[12]	Cao Z J, Zhang H and Hu G 2007 Europhys. Lett. 79 34002
[13]	Cui X H, Huang X Q, Cao Z J, Zhang H and Hu G 2008 Phys. Rev. E 78 026202
[14]	Shao X, Wu Y B, Zhang J Z, Wang H L and Ouyang Q 2008 Phys. Rev. Lett. 100 198304
[15]	Cross M C and Hohenberg P C 1993 Rev. Mod. Phys. 65 851
[16]	Barkley D, Kness M and Tuckerman L 1990 Phys. Rev. A 44 2489
[17]	B¨ar M and Eiswirth M 1993 Phys. Rev. E 48 1635
[18]	Li G, Ouyang Q, Petrov V and Swinney H L 1996 Phys. Rev. Lett. 77 2105
[19]	Ouyang Q, Swinney H L and Li G 2000 Phys. Rev. Lett. 84 1047
[20]	Tobia S M and Knobloch E 1998 Phys. Rev. Lett. 80 4811
[21]	Zhou L Q and Ouyang Q 2000 Phys. Rev. Lett. 85 1650
[22]	Sandstede B and Scheel A 2000 Phys. Rev. E 62 7708
[23]	Aranson I S and Kramer K 2002 Rev. Mod. Phys 74 99
[24]	Weiss J N, Karagueuzian H S, Qu Z L and Chen P S 1999 Circulation 99 2819
[25]	B¨ar M and Guil M O 1999 Phys. Rev. Lett. 82 1160
[26]	Yang J Z, Xie F G, Qu Z L and Garlinkel A 2003 Phys.Rev. Lett. 91 148302
[27]	Xie F G, Xie D Z and Weiss J N 2006 Phys. Rev. E 74 026107
[28]	FitzHugh R A 1961 Biophys. J. 1 445

Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media

Doppler instability of antispiral waves in discrete oscillatory reaction－diffusion media

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 28

相关文章 8

Metrics

本文评价

推荐阅读 0

[1]	Ji Zhang(张骥), Kai Liu(刘凯), and Yang Ding(丁阳). Speedup of self-propelled helical swimmers in a long cylindrical pipe[J]. 中国物理B, 2022, 31(1): 14702-014702.
[2]	Andreas Zöttl. Simulation of microswimmer hydrodynamics with multiparticle collision dynamics[J]. 中国物理B, 2020, 29(7): 74701-074701.
[3]	叶腾, 叶方富, 邱峰. Influence of matrix-metalloproteinase inhibitor on the interaction between cancer cells and matrigel[J]. 中国物理B, 2020, 29(6): 68701-068701.
[4]	叶腾, 邱峰. Influence of matrigel on the shape and dynamics of cancer cells[J]. 中国物理B, 2019, 28(10): 108704-108704.
[5]	张佳政, 李娜, 陈唯. Diffusional inhomogeneity in cell cultures[J]. 中国物理B, 2018, 27(2): 28705-028705.
[6]	韩伟静, 袁伟, 朱江瑞, 樊琪慧, 屈军乐, 刘雳宇, on behalf of the U.S.-China Physical Sciences-Oncology Alliance. In vitro three-dimensional cancer metastasis modeling: Past, present, and future[J]. 中国物理B, 2016, 25(1): 18709-018709.
[7]	张何朋, 刘斌, Bruce Rodenborn, Harry L. Swinney. Propulsive matrix of a helical flagellum[J]. 中国物理B, 2014, 23(11): 114703-114703.
[8]	贺卓然, 吴泰霖, 欧阳颀, 涂豫海. A population-level model from the microscopic dynamics in Escherichia coli chemotaxis via Langevin approximation[J]. 中国物理B, 2012, 21(9): 98701-098701.