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An Hodgkin-Huxley neuron receiving a random periodic signal : ergodicity and estimation
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Authors : Thieullen, Michèle (Author of the conference)
CIRM (Publisher )
60H07 - Stochastic calculus of variations and the Malliavin calculus
60J25 - Continuous-time Markov processes on general state spaces
60J60 - Diffusion processes
CIRM (Publisher )
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Abstract :
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
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : French Available date : 07/01/15 Conference Date : 11/12/14 Subseries : Research talks arXiv category : Probability Mathematical Area(s) : Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:59:28 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-12-11_Thieullen.mp4 
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Information on the Event
Event Title : LEM2I international conference / Colloque international du LEM2IEvent Organizers : Benabdallah, Assia ; Dehman, Belhassen ; Dermenjian, Yves ; Lebeau, Gilles ; Pardoux, Etienne Dates : 08/12/14 - 12/12/14 Event Year : 2014 Event URL : http://lem2i-2014.sciencesconf.org/
Citation Data
DOI : 10.24350/CIRM.V.18653803Cite 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 |
Bibliography
- 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.
