Electrical activities of excitable cells produce diverse spiking-bursting patterns. The dynamics of the neuronal responses can be changed due to the variations of ionic concentrations between outside and inside the cell membrane. We investigate such type of spiking-bursting patterns under the effect of an electromagnetic induction on an excitable neuron model. The effect of electromagnetic induction across the membrane potential can be considered to analyze the collective behavior for signal processing. The paper addresses the issue of the electromagnetic flow on a modified Hindmarsh–Rose model (H–R) which preserves biophysical neurocomputational properties of a class of neuron models. The different types of firing activities such as square wave bursting, chattering, fast spiking, periodic spiking, mixed-mode oscillations etc. can be observed using different injected current stimulus. The improved version of the model includes more parameter sets and the multiple electrical activities are exhibited in different parameter regimes. We perform the bifurcation analysis analytically and numerically with respect to the key parameters which reveals the properties of the fast-slow system for neuronal responses. The firing activities can be suppressed/enhanced using the different external stimulus current and by allowing a noise induced current. To study the electrical activities of neural computation, the improved neuron model is suitable for further investigation.

中文翻译：

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改进的可兴奋神经元模型的分叉分析和多种激发活动。

可激发细胞的电活动产生多种突刺模式。由于细胞膜外部和内部之间离子浓度的变化，神经元反应的动力学可以改变。我们研究了在可激发神经元模型上的电磁感应作用下的这种突跳模式。可以考虑跨膜电位的电磁感应效应，以分析信号处理的总体行为。本文讨论了在改进的Hindmarsh-Rose模型（HR）上的电磁流问题，该模型保留了一类神经元模型的生物物理神经计算特性。不同类型的发射活动，例如方波猝发，颤动，快速尖峰，周期性尖峰，混合模式振荡等。使用不同的注入电流刺激可以观察到。该模型的改进版本包括更多的参数集，并且在不同的参数范围内表现出多种电活动。我们对关键参数进行分析和数字化分叉分析，揭示了神经系统反应的快慢系统的特性。可以使用不同的外部刺激电流并允许噪声感应电流来抑制/增强射击活动。为了研究神经计算的电活动，改进的神经元模型适合进一步研究。我们对关键参数进行分析和数字化分叉分析，揭示了神经系统反应的快慢系统的特性。可以使用不同的外部刺激电流并允许噪声感应电流来抑制/增强射击活动。为了研究神经计算的电活动，改进的神经元模型适合进一步研究。我们对关键参数进行分析和数字化分叉分析，揭示了神经系统反应的快慢系统的特性。可以使用不同的外部刺激电流并允许噪声感应电流来抑制/增强射击活动。为了研究神经计算的电活动，改进的神经元模型适合进一步研究。