Lazarevich Ivan A, Kazantsev Victor B
Institute of Applied Physics of Russian Academy of Science, 46 Uljanov street, 603950 Nizhny Novgorod, Russia and N.I. Lobachevsky State University of Nizhni Novgorod, 23 Gagarin avenue, 603950 Nizhny Novgorod, Russia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Dec;88(6):062718. doi: 10.1103/PhysRevE.88.062718. Epub 2013 Dec 19.
Signal propagation in neuronal dendrites represents the basis for interneuron communication and information processing in the brain. Here we take into account charge inhomogeneities arising in the vicinity of ion channels in cytoplasm and obtain a modified cable equation. We show that charge inhomogeneities acting on a millisecond time scale can lead to the appearance of propagating waves with wavelengths of hundreds of micrometers. They correspond to a certain frequency band predicting the appearance of resonant properties in brain neuron signaling. We also show that membrane potential in spiny dendrites obeys the modified cable equation suggesting a crucial role of the spines in dendritic subthreshold resonance.
神经元树突中的信号传播是大脑中神经元间通信和信息处理的基础。在此，我们考虑了细胞质中离子通道附近出现的电荷不均匀性，并得到了一个修正的电缆方程。我们表明，在毫秒时间尺度上起作用的电荷不均匀性可导致出现波长为数百微米的传播波。它们对应于某个频带，预示着大脑神经元信号中谐振特性的出现。我们还表明，棘状树突中的膜电位服从修正的电缆方程，这表明棘在树突阈下共振中起着关键作用。
