Multiple routes to functionally feedforward dynamics in cortical network models.

Abstract

Event Abstract Back to Event Multiple routes to functionally feedforward dynamics in cortical network models. Edward Wallace1*, Marc Benayoun2, Wim Van Drongelen3 and Jack Cowan1 1 University of Chicago, Dept. of Mathematics, United States 2 University of Chicago, CNS Graduate Program, United States 3 University of Chicago, Pediatric Neurology, United States Networks with closely balanced inhibition and excitation exhibit dynamics of particular interest to computational neuroscientists. They may respond quickly to sudden changes in afferent input, or presented with slow changes in input they may move between synchronous and asynchronous dynamics. This has been attributed to a hidden functionally feedforward structure in the network, meaning that a co-ordinate change to the dynamical variables reveals an underlying unidirectional flow of activity. It is therefore of interest to determine which combinations of feedforward structure and input obtainable under physiological constraints produce which network dynamics, and what this means for information processing. We generate random sparse matrices with strong hidden feedforward structure, by adjusting the spectral properties of sub-blocks of the connectivity matrix. This may be achieved by fixing the mean values of the sub-blocks of the matrix. Less intuitively, it may also be achieved by adjusting their variances. Then, the interplay between the connectivity matrix and the input, depending on their mutual correlations, causes the network to move between dynamical regimes. A special case of this in a stochastic spiking network is a transition from asynchronous firing to aperiodic synchronous firing, with spikes grouped into so-called neuronal avalanches. The spectral properties necessary for functionally feedforward dynamics may hold in networks with a variety of connection topologies. In particular, we show how to generate networks with small-world connectivity and underlying feedforward dynamics. This is relevant to the problem of inferring a network’s connectivity from its dynamics: experimental measurements of the dynamical repertoire obtainable from functionally feedforward networks are not enough to show that the network under observation does or does not have small-world topology. Conference: Computational and Systems Neuroscience 2010, Salt Lake City, UT, United States, 25 Feb - 2 Mar, 2010. Presentation Type: Poster Presentation Topic: Poster session III Citation: Wallace E, Benayoun M, Drongelen W and Cowan J (2010). Multiple routes to functionally feedforward dynamics in cortical network models.. Front. Neurosci. Conference Abstract: Computational and Systems Neuroscience 2010. doi: 10.3389/conf.fnins.2010.03.00160 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 02 Mar 2010; Published Online: 02 Mar 2010. * Correspondence: Edward Wallace, University of Chicago, Dept. of Mathematics, Chicago, United States, ewjwallace@gmail.com Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Edward Wallace Marc Benayoun Wim Van Drongelen Jack Cowan Google Edward Wallace Marc Benayoun Wim Van Drongelen Jack Cowan Google Scholar Edward Wallace Marc Benayoun Wim Van Drongelen Jack Cowan PubMed Edward Wallace Marc Benayoun Wim Van Drongelen Jack Cowan Related Article in Frontiers Google Scholar PubMed Abstract Close Back to top Javascript is disabled. Please enable Javascript in your browser settings in order to see all the content on this page.