Drift of large-core spiral waves in inhomogeneous excitable media

被引:0
作者
Yury E. Elkin
Vadim N. Biktashev
机构
[1] Institute for Mathematical Problems in Biology,
来源
Journal of Biological Physics | 1999年 / 25卷
关键词
Kinematic approximation; Eikonal; Asymptotics; Inhomogeneity; Drift; Spiral wave; Excitable medium; Autowave; Reaction-diffusion system;
D O I
暂无
中图分类号
学科分类号
摘要
Spiral waves in excitable media may drift due to interaction with medium inhomogeneities. We describe this drift asymptotically, within the kinematic (eikonal) approximation.
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页码:129 / 147
页数:18
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共 56 条
[1]  
Zaikin A.N.(1970)Concentration wave propagation in two-dimensional liquid-phase self-oscillating system Nature 225 535-537
[2]  
Zhabotinsky A.M.(1972)Spiral waves of chemical activity Science 175 634-636
[3]  
Winfree A.T.(1973)Circus movement in rabbit atrial muscle as a mechanism of tachycardia Circ. Res. 33 54-62
[4]  
Allessie M.A.(1974)Signal propagation during aggregation in the slime mould J. Gen. Microbiol. 85 321-334
[5]  
Bonk F.I.M.(1983)Spiral waves of spreading depression in the isolated chicken retina J. Neurobiol. 14 353-363
[6]  
Schopman F.J.G.(1990)Spatiotemporal concentration patterns in a surface reaction: propagating and standing waves, rotating spirals, and turbulence Phys. Rev. Lett. 65 3013-3016
[7]  
Alcantara F.(1996)Spiral waves and the heart Int. J. Bifurcation and Chaos 6 415-435
[8]  
Monk M.(1988)Mechanism of the drift of a spiral wave in an inhomogeneous medium Biofizika 33 338-342
[9]  
Gorelova N.A.(1988)The dynamics of 3-dimensional scroll waves in excitable media Physica D 31 269-276
[10]  
Bures J.(1995)Resonant drift of autowave vortices in two dimensions and the effects of boundaries and inhomogeneities Chaos Solitons and Fractals 5 575-622