English
An Hodgkin-Huxley neuron receiving a random periodic signal : ergodicity and estimation
Multi angle
Auteurs : Thieullen, Michèle (Auteur de la Conférence)
CIRM (Editeur )
60H07 - Stochastic calculus of variations and the Malliavin calculus
60J25 - Continuous-time Markov processes on general state spaces
60J60 - Diffusion processes
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 : Hodgkin-Huxley model - ergodicity - limit theorems - estimation
60H07 - Stochastic calculus of variations and the Malliavin calculus
60J25 - Continuous-time Markov processes on general state spaces
60J60 - Diffusion processes
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Français Date de publication : 07/01/15 Date de captation : 11/12/14 Sous collection : Research talks arXiv category : Probability Domaine : Probability & Statistics Format : MP4 (.mp4) - HD Durée : 00:59:28 Audience : Researchers Download : https://videos.cirm-math.fr/2014-12-11_Thieullen.mp4 
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Informations sur la Rencontre
Nom de la rencontre : LEM2I international conference / Colloque international du LEM2IOrganisateurs 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/
Données de citation
DOI : 10.24350/CIRM.V.18653803Citer cette vidéo: 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
- Höpfner, R. Löcherbach, E., & Thieullen, M. (2013). Transition densities for strongly degenerate time inhomogeneous random models.
- Höpfner, R. Löcherbach, E. and Thieullen, M. (2013). Ergodicity for a stochastic Hodgkin-Huxley model driven by Ornstein-Uhlenbeck type input.
- Höpfner, R. Löcherbach, E. and Thieullen, M. (2012). Transition densities for stochastic Hodgkin-Huxley models.
