title: Exact results for power spectrum and susceptibility of a leaky integrate-and-fire neuron with two-state noise.
abstract: The response properties of excitable systems driven by colored noise are of great interest, but are usually mathematically only accessible via approximations. For this reason, dichotomous noise, a rare example of a colored noise leading often to analytically tractable problems, has been extensively used in the study of stochastic systems. Here, we calculate exact expressions for the power spectrum and the susceptibility of a leaky integrate-and-fire neuron driven by asymmetric dichotomous noise. While our results are in excellent agreement with simulations, they also highlight a limitation of using dichotomous noise as a simple model for more complex fluctuations: Both power spectrum and susceptibility exhibit an undamped periodic structure, the origin of which we discuss in detail.
authors.affiliation: Bernstein Center for Computational Neuroscience, Haus 2, Philippstrasse 13, 10115 Berlin, Germany and Department of Physics, Humboldt Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany.
authors.forename: Felix
authors.initials: F
authors.lastname: Droste
authors.affiliation: Bernstein Center for Computational Neuroscience, Haus 2, Philippstrasse 13, 10115 Berlin, Germany and Department of Physics, Humboldt Universität zu Berlin, Newtonstrasse 15, 12489 Berlin, Germany.
authors.forename: Benjamin
authors.initials: B
authors.lastname: Lindner
mesh_terms: D000200:Action Potentials / Q000502:physiology; D000818:Animals; D003198:Computer Simulation; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*