ABSTRACT Subthreshold oscillations in neurons are those oscillations which do not attain the critical value of the membrane's voltage needed for triggering an action potential (a spike). Their contribution to the forming of action potentials in neurons is a current field of research in biology. The present work approaches this subject using tools from mathematical modelling, more exactly, a neuronal non-smooth map-based model is proposed and studied. The behaviour of the model in a noisy medium is also studied.

中文翻译：

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基于地图的神经元模型的分析

摘要 神经元中的亚阈值振荡是那些未达到触发动作电位（尖峰）所需的膜电压临界值的振荡。它们对神经元动作电位形成的贡献是当前生物学研究领域。目前的工作使用数学建模工具来解决这个问题，更确切地说，提出并研究了基于神经元非平滑图的模型。还研究了模型在嘈杂介质中的行为。