title: [Theoretical analysis of the spike activity of a neuron with an N-shape stationary volt-ampere characteristic of the dendritic membrane].
abstract: Neuronal discharge frequency as a function of depolarizing current strength was analyzed using a mathematical model. The dendritic membrane of the model neuron was characterized by an N-shaped stationary current-voltage characteristic which is now confirmed experimentally. The potential of distal dendrites with N-shaped current voltage characteristic changes from rest to stable depolarization as current rises. This change causes discharge frequency augmentation. Two smooth ranges of frequency-current characteristics are explained as follows: in the first low frequency-low current range all dendrites are at rest, and in the second high frequency-strong current range there appears stable depolarization. If stable depolarization of dendrites is a synchronous event, then there is a frequency jump between the ranges and if dendrites depolarize steadily one-by-one, then there is only a nonsmooth point. The steady depolarization causes hysteresis of the frequency-current characteristic, including spontaneous discharge after cessation of strong depolarization.
mesh_terms: D000200:Action Potentials; D003712:Dendrites / Q000502:physiology*; D008433:Mathematics; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*
vernacular_title: Teoreticheskiĭ analiz impul'snoĭ aktivnosti neĭrona s N-obraznoĭ statsionarnoĭ vol't-ampernoĭ kharakteristikoĭ dendritnoĭ membrany.