Mechanism of spiral formation in heterogeneous discretized excitable media
Spiral waves on excitable media strongly influence the functions of living systems in both a positive and negative way. The spiral formation mechanism has thus been one of the major themes in the field of reaction-diffusion systems. Although the widely believed origin of spiral waves is the interact...
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| Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2013-06, Vol.87 (6), p.062815-062815, Article 062815 |
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| container_issue | 6 |
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| container_title | Physical review. E, Statistical, nonlinear, and soft matter physics |
| container_volume | 87 |
| creator | Kinoshita, Shu-ichi Iwamoto, Mayuko Tateishi, Keita Suematsu, Nobuhiko J Ueyama, Daishin |
| description | Spiral waves on excitable media strongly influence the functions of living systems in both a positive and negative way. The spiral formation mechanism has thus been one of the major themes in the field of reaction-diffusion systems. Although the widely believed origin of spiral waves is the interaction of traveling waves, the heterogeneity of an excitable medium has recently been suggested as a probable cause. We suggest one possible origin of spiral waves using a Belousov-Zhabotinsky reaction and a discretized FitzHugh-Nagumo model. The heterogeneity of the reaction field is shown to stochastically generate unidirectional sites, which can induce spiral waves. Furthermore, we found that the spiral wave vanished with only a small reduction in the excitability of the reaction field. These results reveal a gentle approach for controlling the appearance of a spiral wave on an excitable medium. |
| doi_str_mv | 10.1103/physreve.87.062815 |
| format | Article |
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| ispartof | Physical review. E, Statistical, nonlinear, and soft matter physics, 2013-06, Vol.87 (6), p.062815-062815, Article 062815 |
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| source | MEDLINE; American Physical Society Journals |
| subjects | Action Potentials - physiology Animals Biological Clocks Computer Simulation Humans Models, Neurological Nerve Net - physiology Neural Conduction - physiology |
| title | Mechanism of spiral formation in heterogeneous discretized excitable media |
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