Berlin 2015 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 14: Posters: Neurophysics
BP 14.11: Poster
Montag, 16. März 2015, 17:30–19:30, Poster A
Spectral properties of excitable systems subject to colored noise — Jannis Schuecker1, Markus Diesmann1,2, and •Moritz Helias1 — 1Institute of Neuroscience and Medicine (INM-6) and Institute for Advanced Simulation (IAS-6), Jülich Research Centre and JARA — 2Medical Faculty, RWTH Aachen University
Many phenomena in nature are described by excitable systems driven by colored noise. Studying the response properties of these systems comes along with considerable difficulties, due to the non-vanishing correlation time of the noise. For systems with noise fast compared to their intrinsic time scale, we here present a general method of reduction to a lower dimensional effective system, respecting the details of the noise in the boundary conditions. Static boundary conditions were derived earlier by a perturbative treatment of the arising boundary layer problem [1,2]. Here we extend this scheme to the dynamic case [3]. We apply the formalism to the leaky integrate-and-fire neuron model, revealing an analytical expression for the transfer function valid up to moderate frequencies. This enables the assessment of the stability of networks of these excitable units.
[1] Klosek MM, Hagan PS. J Math Phys 1998, 39:931-953
[2] Doering CR, Hagan PS, Levermore CD. PRL 1987, 59:2129-2132
[3] Schuecker J, Diesmann M, Helias, M. 2014, arXiv:1411.0432
Partial support by Helmholtz Association: Young investigator group VH-NG-1028 and portfolio theme SMHB; Jülich Aachen Research Alliance (JARA), EU Grant 269921 (BrainScaleS), EU Grant 604102 (Human Brain Project, HBP).