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H 1 An Hodgkin-Huxley neuron receiving a random periodic signal : ergodicity and estimation

Auteurs : Thieullen, Michèle (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : In this talk I will present a stochastic model for the excitability of a neuron in a network. The neuron described by an Hodgkin-Huxley type model receives from the network a random input which is a perturbation of a periodic deterministic signal. For such a model we study ergodicity properties. Then, we prove limit theorems in order to be able to estimate characteristics of the sequence of spiking times. This talk is based on a joint work with R. Hoepfner (Univ. Mainz) and E. Loecherbach (Univ. Cergy-Pontoise).

    Hodgkin-Huxley model - ergodicity - limit theorems - estimation

    Codes MSC :
    60H07 - Stochastic calculus of variations and the Malliavin calculus
    60J25 - Continuous-time Markov processes on general state spaces
    60J60 - Diffusion processes

      Informations sur la Vidéo

      Langue : Français
      Date de publication : 07/01/15
      Date de captation : 11/12/14
      Collection : Research talks ; Probability and Statistics
      Format : quicktime ; audio/x-aac
      Durée : 00:59:28
      Domaine : Probability & Statistics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2014-12-11_Thieullen.mp4

    Informations sur la rencontre

    Nom de la rencontre : LEM2I international conference / Colloque international du LEM2I
    Organisateurs de la rencontre : Benabdallah, Assia ; Dehman, Belhassen ; Dermenjian, Yves ; Lebeau, Gilles ; Pardoux, Etienne
    Dates : 08/12/14 - 12/12/14
    Année de la rencontre : 2014
    URL Congrès : http://lem2i-2014.sciencesconf.org/

    Citation Data

    DOI : 10.24350/CIRM.V.18653803
    Cite this video as: Thieullen, Michèle (2014). An Hodgkin-Huxley neuron receiving a random periodic signal : ergodicity and estimation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18653803
    URI : http://dx.doi.org/10.24350/CIRM.V.18653803


    Bibliographie

    1. Höpfner, R. Löcherbach, E., & Thieullen, M. (2013). Transition densities for strongly degenerate time inhomogeneous random models. - http://arxiv.org/abs/1310.7373

    2. Höpfner, R. Löcherbach, E. and Thieullen, M. (2013). Ergodicity for a stochastic Hodgkin-Huxley model driven by Ornstein-Uhlenbeck type input. - http://arxiv.org/abs/1311.3458

    3. Höpfner, R. Löcherbach, E. and Thieullen, M. (2012). Transition densities for stochastic Hodgkin-Huxley models. - http://arxiv.org/abs/1207.0195

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