中文摘要：

结合Hodskin—Huxley神经元模型的动力学特性与Integrate-and-Fire神经元模型的解析特性，提出了一种新的二维分段线性脉冲神经元模型．该模型的优点在于既可通过分叉理论对兴奋性系统进行定性描述，又可通过状态变量的解析式对神经元行为进行定量分析．通过详细的分析，发现该模型具有许多一维Integrate-and-Fire神经元模型所不具有的新的神经计算特性．在实验中，应用该模型模拟了大部分已知皮层神经元的脉冲和簇放电行为．

英文摘要：

We propose a two-dimensional piecewise linear spiking neuron model that combines the dynamical property of Hodgkin-Huxley neuron model and the analytical property of integrate-and-fire neuron model. We show that this framework allows a qualitative description of excitable systems through bifurcation theory but also a quantitative analysis of neuronal behavior through an explicit analytical representation of the state variables. A detailed analytical study of the model is presented. The model gives rise to new neuro-computational properties not present in one-dimensional integrate-and-fire neuron models. In experiments, using this model we simulated the spiking and bursting behavior of known types of cortical neurons.