title: Effect of an exponentially decaying threshold on the firing statistics of a stochastic integrate-and-fire neuron.
abstract: We study a white-noise driven integrate-and-fire (IF) neuron with a time-dependent threshold. We give analytical expressions for mean and variance of the interspike interval assuming that the modification of the threshold value is small. It is shown that the variability of the interval can become both smaller or larger than in the case of constant threshold depending on the decay rate of threshold. We also show that the relative variability is minimal for a certain finite decay rate of the threshold. Furthermore, for slow threshold decay the leaky IF model shows a minimum in the coefficient of variation whenever the firing rate of the neuron matches the decay rate of the threshold. This novel effect can be seen if the firing rate is changed by varying the noise intensity or the mean input current.
authors.affiliation: Department of Physics, University of Ottawa, 150 Louis Pasteur, Ont., Ottawa, Canada KIN 6N5. lindner.benjamin@science.uottawa.ca
authors.forename: Benjamin
authors.initials: B
authors.lastname: Lindner
authors.forename: André
authors.initials: A
authors.lastname: Longtin
mesh_terms: D000818:Animals; D003198:Computer Simulation; D008959:Models, Neurological; D009431:Neural Conduction / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D013269:Stochastic Processes