title: [Limiting behavior of a model of the impulse activity of a neuron for large frequency of input flow and small contributions of a single synapse (non-diffusion approximation)].
abstract: The limit behavior of probability models of neuron's firing, viz. models with exponential decay and constant threshold is considered. These models differ from each other by F(v), distribution of jumps of potential after arrival of input impulse. If average number of input impulses arriving during the decaying time of one impulse in very large and threshold depolarisation, measured by unit of average jump of potential, is large too, than limit density of interspike interval distribution does not depend on form of F(v); and depends on other neuron's parameters mean and variance of F(v). Moreover, the form of this density depends on only one parameter--normalised threshold. Under this condition interspike interval distribution for diffusion model converges to the same limit. Lapase transform for limit distribution is found and results of its numeric inverts are given.
mesh_terms: D000200:Action Potentials; D008433:Mathematics; D008564:Membrane Potentials; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D011336:Probability; D013570:Synaptic Membranes / Q000502:physiology*; D009435:Synaptic Transmission
vernacular_title: Predel'noe povedenie modeli impul'snoĭ aktivnosti neĭrona dlia bol'shikh chastot vkhodnykh potokov i malykh vkladakh odnogo sinapsa (nediffuzionnoe priblizhenie).