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Mechanism for identification of chaotic firing interval in excitable cells

Hu San-Jue Duan Yu-Bin Xie Yong Xu Jian-Xue Kang Yan-Mei

Mechanism for identification of chaotic firing interval in excitable cells

Hu San-Jue, Duan Yu-Bin, Xie Yong, Xu Jian-Xue, Kang Yan-Mei
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  • Received Date:  16 August 2002
  • Accepted Date:  20 September 2002
  • Published Online:  20 May 2003

Mechanism for identification of chaotic firing interval in excitable cells

  • 1. (1)第四军医大学全军神经科学研究所,西安 710032; (2)西安交通大学建筑工程与力学学院非线性动力学研究所,西安 710049

Abstract: The experimental data of interspike intervals were recorded in a neural pacemaker,and the presence of period-adding bifurcation cascade was demonstrated.By detecting unstable periodic orbits from the chaotic interspike intervals located in between period-n bursting and period-(n+1) bursting,it is found that the unstable period-n orbit can be detected from the chaotic interspike intervals near the period-n bursting,and the unstable period-(n+1) orbit exists in the chaotic interspike intervals near period-(n+1) bursting.Moreover,the unstable period-n orbit also can be detected.For such a phenomenon the theoretical analyses are presented from the point of view of the nonlinear dynamics by way of the pancreatic β-cell model suggested by Sherman.The direct causes of emergence of the phenomenon are shown to be the intermittency of type Ⅰ and that of type Ⅲ,and they are induced by the saddle-node bifurcation and period-doubling bifurcation,respectively.Consequently,the mechanism for identification of chaotic firing interval is revealed.At the same time,the universality of the phenomenon is elucidated to a certain extent.Furthermore,a novel method is put forward for identifying the chaotic firing interval.

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