With already demonstrated in previous work the equations that describe the space dependence of the electric potential are determined by the solution of the equation of Poisson-Boltzmann. In this work we consider these solutions for the membrane of the human neuron, using a model simplified for this structure considering the distribution of electrolytes in each side of the membrane, as well as the effect of glycocalyx and the lipidic bilayer. It was assumed that on both sides of the membrane the charges are homogeneously distributed and that the potential depends only on coordinate z.
On 1/f^alpha power laws originating from linear neuronal cable theory: power spectral densities of the soma potential, transmembrane current and single-neuron contribution to the EEG
Max Planck Institute for Human Cognitive and Brain Sciences（马克斯·普朗克人类认知与脑科学研究所）；University Medical Center Freiburg, Faculty of Medicine, University of Freiburg（弗赖堡大学医学院弗赖堡大学医学中心）；Inria-Saclay, Equipe Idefix, UMA, ENSTA Paris, Institut Polytechnique de Paris（巴黎理工学院ENSTA巴黎萨克雷Inria，Idefix团队，UMA）
The Heat of Nervous Conduction: A Thermodynamic Framework
神经传导的早期记录揭示了与电信号相关的显著的热特征。所观察到的热量产生和随后的吸收是由动作电位传导期间在细胞膜水平发生的物理化学过程引起的。特别是，可逆释放的电能储存为跨细胞膜的电位差，似乎是一个简单而一致的解释热生产，提出了“冷凝器理论。“然而，冷凝器理论还没有被分析超出细胞膜和平行板电容器之间的类比，即冷凝器，它不能解释热信号的大小。在这项工作中，我们使用一个详细的静电模型的细胞膜重温电容器理论。我们推导出的自由能和熵的变化与膜的去极化的动作电位，这给出了一个直接的措施，由神经元产生和吸收的热量的表达式。我们展示了膜两侧的表面电荷密度如何影响能量变化。最后，考虑到一个典型的动作电位，我们表明，如果膜持有的表面电荷的偏置，使膜的内侧是0.05 C m $^{-2}$更负比外侧，该模型预测的热量的大小达到实验值的范围。基于我们的研究，我们确定了在神经传导过程中，神经元产生和吸收热量的主要机制是膜的电能变化。
