PERIOD-ADDING BIFURCATION WITH CHAOS IN THE INTERSPIKE INTERVALS GENERATED BY AN EXPERIMENTAL NEURAL PACEMAKER

PERIOD-ADDING BIFURCATION WITH CHAOS IN THE INTERSPIKE INTERVALS GENERATED BY AN EXPERIMENTAL NEURAL PACEMAKER
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DOI:
10.1142/s0218127497001448
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发表时间:
1997-08
影响因子:
2.2
通讯作者:
W. Ren;San-jue Hu;Bo Zhang;F. Z. Wang;Y. Gong;Jun Xu
W. Ren;San-jue Hu;Bo Zhang;F. Z. Wang;Y. Gong;Jun Xu
中科院分区:
数学4区
文献类型:
--
作者:
W. Ren;San-jue Hu;Bo Zhang;F. Z. Wang;Y. Gong;Jun Xu

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神经起搏器中各种尖峰序列产生的动力学对于理解神经编码具有根本的重要性。最近的研究已经从理论和实验上证明,神经起搏器产生混沌振荡。对几个神经元模型的更深入分析揭示了许多非线性现象,包括加周期分岔,但其存在尚未得到实验证实。本文报道了当细胞外钙离子浓度改变或在神经起搏点给予钾通道阻滞剂时,在实验性神经起搏器产生的峰间期(ISI)序列中观察到混沌加周期分岔。我们还通过计算可兴奋细胞的广义模型来模拟我们的实验发现。利用非线性预测和替代数据方法对实验和模型中的混沌现象进行了验证和比较。
The dynamics of the generation of the various spike trains in neural pacemakers is of fundamental importance to the understanding of neural coding. Recent studies have demonstrated, theoretically and experimentally, that neural pacemakers produce chaotic oscillations. Deeper analyses in several neuronal models have revealed many nonlinear phenomena including period-adding bifurcations whose existence has not been experimentally confirmed. In this letter, we reported that the period-adding bifurcation with chaos was observed in the interspike interval (ISI) series generated by an experimental neural pacemaker when the extracellular calcium concentration was changed or a potassium channel blocker was administered at the site of the pacemaker. We also simulated our experimental discoveries by computing a generalized model of excitable cells. The chaotic phenomenon in the experiment and that in the model were demonstrated and compared using the nonlinear forecasting and surrogate data methods.