School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China.
Chaos. 2013 Jun;23(2):023126. doi: 10.1063/1.4810932.
The transition from chaotic bursting to chaotic spiking has been simulated and analyzed in theoretical neuronal models. In the present study, we report experimental observations in a neural pacemaker of a transition from chaotic bursting to chaotic spiking within a bifurcation scenario from period-1 bursting to period-1 spiking. This was induced by adjusting extracellular calcium or potassium concentrations. The bifurcation scenario began from period-doubling bifurcations or period-adding sequences of bursting pattern. This chaotic bursting is characterized by alternations between multiple continuous spikes and a long duration of quiescence, whereas chaotic spiking is comprised of fast, continuous spikes without periods of quiescence. Chaotic bursting changed to chaotic spiking as long interspike intervals (ISIs) of quiescence disappeared within bursting patterns, drastically decreasing both ISIs and the magnitude of the chaotic attractors. Deterministic structures of the chaotic bursting and spiking patterns are also identified by a short-term prediction. The experimental observations, which agree with published findings in theoretical neuronal models, demonstrate the existence and reveal the dynamics of a neuronal transition from chaotic bursting to chaotic spiking in the nervous system.
在理论神经元模型中,已经对从混沌爆发到混沌尖峰的转变进行了模拟和分析。在本研究中,我们报告了在神经起搏器中的实验观察结果,在从 1 期爆发到 1 期尖峰的分岔场景中,观察到了从混沌爆发到混沌尖峰的转变。这是通过调整细胞外钙或钾浓度来诱导的。分岔场景始于倍周期分岔或爆发模式的周期添加序列。这种混沌爆发的特征是多个连续尖峰之间的交替和长时间的静止期,而混沌尖峰则由快速、连续的尖峰组成,没有静止期。随着爆发模式中静止期的长间隔 ISI 消失,混沌爆发转变为混沌尖峰,ISI 和混沌吸引子的幅度急剧下降。混沌爆发和尖峰模式的确定性结构也可以通过短期预测来识别。这些实验观察结果与理论神经元模型中的已发表发现一致,证明了在神经系统中存在从混沌爆发到混沌尖峰的神经元转变,并揭示了其动力学。