title: Markov analysis of stochastic resonance in a periodically driven integrate-and-fire neuron.
abstract: We model the dynamics of the leaky integrate-and-fire neuron under periodic stimulation as a Markov process with respect to the stimulus phase. This avoids the unrealistic assumption of a stimulus reset after each spike made in earlier papers and thus solves the long-standing reset problem. The neuron exhibits stochastic resonance, both with respect to input noise intensity and stimulus frequency. The latter resonance arises by matching the stimulus frequency to the refractory time of the neuron. The Markov approach can be generalized to other periodically driven stochastic processes containing a reset mechanism.
authors.affiliation: Max-Planck-Institut für Strömungsforschung and Fakultät für Physik, Universität Göttingen, Bunsenstrasse 10, 37073 Göttingen, Germany. plesser@chaos.gwdg.de
authors.forename: H E
authors.initials: HE
authors.lastname: Plesser
authors.forename: T
authors.initials: T
authors.lastname: Geisel
mesh_terms: D000818:Animals; D055592:Biophysical Phenomena; D001703:Biophysics; D008390:Markov Chains; D015233:Models, Statistical; D009474:Neurons / Q000378:metabolism* / Q000502:physiology*; D016011:Normal Distribution; D013269:Stochastic Processes