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Reports (Research Report) Year : 2007

Mathematical study of a neural gain control mechanism

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.

Domains

Neurobiology
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Dates and versions

inria-00180730 , version 1 (19-10-2007)
inria-00180730 , version 2 (02-11-2007)
inria-00180730 , version 3 (13-05-2008)
inria-00180730 , version 4 (19-05-2008)

Identifiers

  • HAL Id : inria-00180730 , version 4

Cite

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