A Series of bifurcation Scenarios in the Firing Pattern Transitions in an Experimental Neural pacemaker
A Series of bifurcation Scenarios in the Firing Pattern Transitions in an Experimental Neural pacemaker
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DOI：
10.1142/s0218127404010114
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发表时间：
2004-05
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影响因子：
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通讯作者：
Li Li-Li;Huaguang Gu;Minghao Yang;Zhiqiang Liu;W. Ren
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文献类型：
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作者：
Li Li-Li;Huaguang Gu;Minghao Yang;Zhiqiang Liu;W. Ren
在以前的神经元模型的理论研究中，通过一个复杂的过程模拟了从周期1爆发到周期1尖峰的各种分叉场景。结果揭示了神经元放电模式转换的一般原理。在这封信中，三种类型的分叉方案相对于细胞外钙浓度（[Ca++]o）被发现在实验中的神经起搏器。这一系列的分叉现象暗示了神经元放电模式转换中分叉的复杂结构。在二维Chay模型参数空间中，模拟了三种经典的关于分岔参数vc（钙离子浓度的反向电势）的分岔情形.通过条件参数λn的变化，揭示了三种分岔情形之间的关系.结果不仅验证了真实的神经元系统中不同分岔情景的存在，而且也表明了不同分岔情景的差异。
Various bifurcation scenarios from period-1 bursting to period-1 spiking via a complex procedure were simulated in previous theoretical studies on neuronal models. The results revealed a general principle of neuronal firing pattern transitions. In this letter, three types of bifurcation scenarios with respect to extracellar calcium concentration ([Ca++]o) were discovered in experiments on neural pacemakers. Such a series of bifurcation scenarios implied complex structure of bifurcations in the firing pattern transitions of neurons. In the two-dimensional parameter space of Chay model, three classical kinds of bifurcation scenarios with respect to the bifurcation parameter vc (the reverse potential of calcium concentration) were simulated. By the variation of the conditional parameter, λn, the relationship among the three bifurcation scenarios was revealed. The results not only verified the existence of different bifurcation scenarios in real neuronal system, but also indicated that the differences among t...