We introduce an integral model of a two-dimensional neural field that includes a third dimension representing space along a dendritic tree that can incorporate realistic patterns of axodendritic connectivity. For natural choices of this connectivity we show how to construct an equivalent brain-wave partial differential equation that allows for efficient numerical simulation of the model. This is used to highlight the effects that passive dendritic properties can have on the speed and shape of large scale traveling cortical waves.

中文翻译：

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结合了轴突连接的脑电波方程

我们引入了二维神经场的积分模型，该模型包括代表树突树的空间的第三维，该树可以合并轴突连接性的现实模式。对于这种连通性的自然选择，我们展示了如何构建等效的脑电波偏微分方程，以实现模型的高效数值模拟。这用于突出显示被动树突状性质可能对大规模传播皮层波的速度和形状产生的影响。