title: Applicability of Pascal distribution to quantal analysis for non-stationary release of neurotransmitter.
abstract: In order to assess the applicability of theoretical distributions to statistical analysis of neurotransmitter release, we made mathematical approaches such as derivation of frequency-generating function of the distributions, and obtained a result that a frequency distribution of the number of quanta released by the consecutive stimulations is described by a Pascal distribution when the Poisson parameter m varies temporally according to a gamma (gamma) distribution. Therefore, if the experimentally obtained distribution fits with a Pascal distribution, this suggests that non-stationary nature of the release mechanism.
authors.affiliation: Department of Physiology, Faculty of Medicine, Kanazawa University, Japan.
authors.forename: M
authors.initials: M
authors.lastname: Higashima
authors.forename: S
authors.initials: S
authors.lastname: Sawada
authors.forename: C
authors.initials: C
authors.lastname: Yamamoto
mesh_terms: D000818:Animals; D008962:Models, Theoretical; D018377:Neurotransmitter Agents / Q000378:metabolism*; D009435:Synaptic Transmission
chemical_list: D018377:Neurotransmitter Agents