Open AccessMechanism for identification of chaotic firing interval in excitable cells
Author(s) -
Yong Xie,
Jianxue Xu,
Yanmei Kang,
HU San-jue,
Duan Yubin
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.1112
Subject(s) - bursting , chaotic , intermittency , bifurcation , interval (graph theory) , physics , period doubling bifurcation , nonlinear system , mathematics , computer science , mechanics , neuroscience , artificial intelligence , combinatorics , quantum mechanics , biology , turbulence
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.