Mathematical study of a neural gain control mechanism

Adrien Wohrer 1, *
* Corresponding author
1 ODYSSEE - Computer and biological vision
DI-ENS - Département d'informatique de l'École normale supérieure, CRISAM - Inria Sophia Antipolis - Méditerranée , ENS Paris - 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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[Research Report] RR-6327, INRIA. 2007, pp.47
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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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