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Mathematical study of a neural gain control mechanism

Adrien Wohrer 1, *
* Corresponding author
1 ODYSSEE - Computer and biological vision
DI-ENS - Département d'informatique - ENS Paris, CRISAM - Inria Sophia Antipolis - Méditerranée , ENS-PSL - École normale supérieure - Paris, Inria Paris-Rocquencourt, ENPC - École des Ponts ParisTech
Abstract : This report presents a dynamical mechanism of gain control, inspired by a simple membranar model for neurons. Mathematical results are enounced for the system under sinusoidal stimulation. We thus prove that the system induces under-linearity with input ampitude, and time advance for high input amplitudes, which are the dual mark of contrast gain control in retinal neurons.
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https://hal.inria.fr/inria-00180730
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Submitted on : Monday, May 19, 2008 - 1:45:03 PM
Last modification on : Thursday, March 17, 2022 - 10:08:30 AM
Long-term archiving on: : Friday, September 24, 2010 - 11:11:36 AM

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  • HAL Id : inria-00180730, version 4

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Adrien Wohrer. Mathematical study of a neural gain control mechanism. [Research Report] RR-6327, INRIA. 2007, pp.47. ⟨inria-00180730v4⟩

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