标题： 统计物理方法用于树突计算：可激发波的平均场近似 显示英文标题

标题： Statistical Physics approach to dendritic computation: The excitable-wave mean-field approximation

摘要： 我们通过分析研究了神经元的输入输出特性，其活跃的树突树被建模为可激发元件的Cayley树，并受到泊松刺激。 单点和两点平均场近似错误地预测了一个不允许在模型中出现的非平衡相变。 我们提出了一种可激发波平均场近似，该近似与之前发表的模拟结果[Gollo等，PLoS Comput Biol 5(6) e1000402 (2009)]有很好的一致性，并考虑了有限尺寸效应。 我们还讨论了我们的结果在神经科学实验中的相关性，强调活跃树突在增强动态范围和增益控制调制中的作用。 显示英文摘要

摘要： We analytically study the input-output properties of a neuron whose active dendritic tree, modeled as a Cayley tree of excitable elements, is subjected to Poisson stimulus. Both single-site and two-site mean-field approximations incorrectly predict a non-equilibrium phase transition which is not allowed in the model. We propose an excitable-wave mean-field approximation which shows good agreement with previously published simulation results [Gollo et al., PLoS Comput. Biol. 5(6) e1000402 (2009)] and accounts for finite-size effects. We also discuss the relevance of our results to experiments in neuroscience, emphasizing the role of active dendrites in the enhancement of dynamic range and in gain control modulation.