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Mechanism of gain modulation at single neuron and network levels

Brozović, M. and Abbott, L. F. and Andersen, R. A. (2008) Mechanism of gain modulation at single neuron and network levels. Journal of Computational Neuroscience, 25 (1). pp. 158-168. ISSN 0929-5313. doi:10.1007/s10827-007-0070-6.

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Gain modulation, in which the sensitivity of a neural response to one input is modified by a second input, is studied at single-neuron and network levels. At the single neuron level, gain modulation can arise if the two inputs are subject to a direct multiplicative interaction. Alternatively, these inputs can be summed in a linear manner by the neuron and gain modulation can arise, instead, from a nonlinear input–output relationship. We derive a mathematical constraint that can distinguish these two mechanisms even though they can look very similar, provided sufficient data of the appropriate type are available. Previously, it has been shown in coordinate transformation studies that artificial neurons with sigmoid transfer functions can acquire a nonlinear additive form of gain modulation through learning-driven adjustment of synaptic weights. We use the constraint derived for single-neuron studies to compare responses in this network with those of another network model based on a biologically inspired transfer function that can support approximately multiplicative interactions.

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Andersen, R. A.0000-0002-7947-0472
Additional Information:© 2007 Springer Science+Business Media, LLC. Received: 12 February 2007; Revised: 17 November 2007; Accepted: 3 December 2007; Published online: 23 January 2008. We thank Gary Gibbons for helpful suggestions and T. Yao and V. Shcherbatyuk for the administrative and technical support. This work was supported by the James G. Boswell Foundation, the National Eye Institute, the Swartz Centers for Theoretical Neurobiology, NSF grant IBN-0235463 and an NIH Director’s Pioneer Award, part of the NIH Roadmap for Medical Research, through grant number 5-DP1-OD114-02.
Funding AgencyGrant Number
James G. Boswell FoundationUNSPECIFIED
National Eye InstituteUNSPECIFIED
Sloan-Swartz Center for Theoretical NeurobiologyUNSPECIFIED
Subject Keywords:Gain modulation; Neural noise; Tuning curves; Power law
Issue or Number:1
Record Number:CaltechAUTHORS:20200401-073039713
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Official Citation:Brozović, M., Abbott, L.F. & Andersen, R.A. Mechanism of gain modulation at single neuron and network levels. J Comput Neurosci 25, 158–168 (2008).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102214
Deposited By: Tony Diaz
Deposited On:01 Apr 2020 15:46
Last Modified:16 Nov 2021 18:09

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