Population density models used to describe the evolution of neural populations in a phase space are closely related to the single neuron model that describes the individual trajectories of the neurons of the population and which gives in particular the phase-space where the computations are made. Based on a transformation of the quadratic integrate and fire single neuron model, the so called theta-neuron model is obtained and we shall introduce in this paper a corresponding population density model for it. Existence and uniqueness of a solution will be proved and some numerical simulations are presented.

中文翻译：

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θ 神经元群体密度模型的适定性。


用于描述相空间中神经群体演化的群体密度模型与描述群体神经元的个体轨迹并且特别给出进行计算的相空间的单个神经元模型密切相关。基于二次积分和火单神经元模型的变换，得到所谓的θ神经元模型，本文将介绍其相应的人口密度模型。将证明解的存在性和唯一性，并给出一些数值模拟。