›› 2014, Vol. 23 ›› Issue (12): 120503-120503.doi: 10.1088/1674-1056/23/12/120503

• GENERAL • 上一篇    下一篇

The effect of cellular aging on the dynamics of spiral waves

邓敏艺, 陈茜琼, 唐国宁   

  1. College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2014-05-08 修回日期:2014-07-13 出版日期:2014-12-15 发布日期:2014-12-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11165004 and 11365003).

The effect of cellular aging on the dynamics of spiral waves

Deng Min-Yi (邓敏艺), Chen Xi-Qiong (陈茜琼), Tang Guo-Ning (唐国宁)   

  1. College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China
  • Received:2014-05-08 Revised:2014-07-13 Online:2014-12-15 Published:2014-12-15
  • Contact: Tang Guo-Ning E-mail:tangguoning@mailbox.gxnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11165004 and 11365003).

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摘要： 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.

关键词: discrete excitable medium, Greenberg–, Hastings model, spiral wave, cellular aging

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.

Key words: discrete excitable medium, Greenberg–Hastings model, spiral wave, cellular aging

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
87.18.Hf (Spatiotemporal pattern formation in cellular populations)