Contrast invariance in recurrent networks of multiplicatively interacting neurons
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1
University of Freiburg, Bernstein Center Freiburg & Faculty of Biology, Germany
Contrast invariance has been reported as an important property of orientation selective neurons in primary visual cortex. Here we show that in random recurrent networks of multiplicatively interacting neurons, this phenomenon occurs in a natural way. There is no need to impose rectification by a transfer function, as it is the case in networks using the classical Wilson-Cowan model, since rectification arises as a consequence of the mean-field description of the network in form of coupled Lotka-Volterra rate equations. We show that the shapes of the output tuning curves obtained by network stimulation are invariant upon input scaling (contrast invariance). We also show that sharp orientation tuning can be obtained in an inhibition dominant operating regime of the network. Finally, we compare this behavior with simulated neuronal responses in a more realistic network of spiking leaky integrate-and-fire neurons. Summarizing we argue that the multiplicative model provides a mathematically convenient and biologically realistic description for the networks in visual cortex.
Keywords:
contrast invariance,
Lotka-Volterra equation,
Multiplicative interaction,
Recurrent network,
spiking neurons,
Wilson-Cowan model
Conference:
BC11 : Computational Neuroscience & Neurotechnology Bernstein Conference & Neurex Annual Meeting 2011, Freiburg, Germany, 4 Oct - 6 Oct, 2011.
Presentation Type:
Poster
Topic:
sensory processing (please use "sensory processing" as keyword)
Citation:
Sadeh
S,
Cardanobile
S and
Rotter
S
(2011). Contrast invariance in recurrent networks of multiplicatively interacting neurons.
Front. Comput. Neurosci.
Conference Abstract:
BC11 : Computational Neuroscience & Neurotechnology Bernstein Conference & Neurex Annual Meeting 2011.
doi: 10.3389/conf.fncom.2011.53.00227
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Received:
02 Aug 2011;
Published Online:
04 Oct 2011.
*
Correspondence:
Mr. Sadra Sadeh, University of Freiburg, Bernstein Center Freiburg & Faculty of Biology, Freiburg, Germany, s.sadeh@imperial.ac.uk