论文标题
改进的变性的莫里斯 - 莱卡神经元模型的数值分叉分析
Numerical bifurcation analysis of improved denatured Morris-Lecar neuron model
论文作者
论文摘要
众所周知,神经元的电活动是由多种外部因素诱导的。这项工作认为电磁诱导对改进的变性莫里斯 - 莱卡神经元模型的影响。原始变性的莫里斯 - 莱卡模型对参数的动力学行为的依赖性通过数值分叉分析来解决。这使我们能够随着参数的变化而定性地探索模型的动力学变化。然后,我们研究了外部周期电流和电磁通量对改进的变性Morris-Lecar神经元模型的动力学特性的影响。当多个参数同时变化时,发现不同类型的动力学行为,从常规周期性峰值到复杂爆发。改进的模型可以应用于神经元生理和病理生理反应需要简单模型的研究。
It is well-known that the electrical activities of neurons are induced by a wide variety of external factors. This work considers the effect of electromagnetic induction on improved denatured Morris-Lecar neuron model. The dependence of dynamical behaviour of the original denatured Morris-Lecar model on parameters is addressed through numerical bifurcation analysis. This allows us to explore the changes in dynamics of the model qualitatively as parameters are varied. Then we investigate the effects of external periodic current and electromagnetic flux on the dynamical properties of the improved denatured Morris-Lecar neuron model. Different types of dynamical behaviour, ranging from regular periodic spiking to complex bursting, are found when the multiple parameters are varied simultaneously. The improved model could be applied to research where simple models are required for physiological and pathophysiological responses in neurons.