title: Effect of periodic stimulus on a neuronal diffusion model with signal-dependent noise.
abstract: To relate the noise intensity with a periodically modulated input signal in a single neuron stochastic model we introduce a diffusion model with both time modulated drift and diffusion coefficient. Such a model is the continuous version of a Stein model with time oscillating frequencies for the Poisson processes describing the inputs impinging on the neuron. We focus here on some aspects of the resonance phenomenon for such a model. We compare the corresponding interspike interval distribution with the analogous distribution for a model sharing the same parameter values, but with constant noise intensity. Examples with two different levels for this noise intensity are discussed. The enhancement of the height of the peaks in the interspike interval distribution appearing at the modulation period, the improvement of the phase locking behavior and an enlargement of the noise ranges where a resonance like behavior arises are the main features observed in the considered cases.
authors.affiliation: Department of Mathematics, University of Torino, V.C. Alberto 10, 10123 Torino, Italy. mariateresa.giraudo@unito.it
authors.forename: Maria Teresa
authors.initials: MT
authors.lastname: Giraudo
authors.forename: Laura
authors.initials: L
authors.lastname: Sacerdote
mesh_terms: D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D013269:Stochastic Processes