Title: Structural motifs and correlation dynamics in networks of spiking neurons
Abstract: Event Abstract Back to Event Structural motifs and correlation dynamics in networks of spiking neurons Volker Pernice1*, Benjamin Staude1 and Stefan Rotter1 1 Albert-Ludwig University, Bernstein Center Freiburg & Faculty of Biology, Germany The dynamics of random recurrent networks has been analyzed in detail, but the influence of non-random connectivity patterns [1] on activity dynamics is not well understood. Here we study the effect of certain structural motifs on pairwise correlations in spiking networks of excitatory and inhibitory neurons in a balanced asynchronous-irregular state. For analytical tractability, spike trains are conceived as linearly interacting stochastic point processes. In this case, firing rates and correlation functions are fully determined by the matrix of linear response kernels. Simple analytic expressions have been derived in [2]. We find that the matrix of integrated cross-covariance functions can be written as a power series of the underlying network’s connectivity matrix. In terms of network structure, higher matrix powers of this series expansion can be interpreted as contributions of motifs of increasing complexity. Generally, such higher order motifs can strongly affect correlations. Their impact can be estimated from the spectral radius of the connectivity matrix. Using numerical simulations, we demonstrate that not only differences in average in-degree and common input but also in higher order motif distributions can lead to dramatic effects regarding pairwise correlations.To illustrate the influence of network structure in more detail, we study connectivity matrices with certain symmetry properties. Specifically we focus on distance dependent connectivity profiles. The distance dependence of correlations can then be determined from the connectivity profile, and the influence of higher order contributions can be understood analytically. References [1] Song S., Per S., Reigl M., Nelson S., Chklovskii D. (2005). Highly nonrandom features of synaptic connectivity in local cortical circuits. PLoS Biol 3: e68 [2] Hawkes, A. G. (1971). Point spectra of some mutually exciting point processes. Journal of the Royal Statistical Society (London) B, 33, 438443 Keywords: computational neuroscience Conference: Bernstein Conference on Computational Neuroscience, Berlin, Germany, 27 Sep - 1 Oct, 2010. Presentation Type: Poster Abstract Topic: Bernstein Conference on Computational Neuroscience Citation: Pernice V, Staude B and Rotter S (2010). Structural motifs and correlation dynamics in networks of spiking neurons. Front. Comput. Neurosci. Conference Abstract: Bernstein Conference on Computational Neuroscience. doi: 10.3389/conf.fncom.2010.51.00073 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: 15 Sep 2010; Published Online: 23 Sep 2010. * Correspondence: Dr. Volker Pernice, Albert-Ludwig University, Bernstein Center Freiburg & Faculty of Biology, Freiburg, Germany, [email protected] 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 Volker Pernice Benjamin Staude Stefan Rotter Google Volker Pernice Benjamin Staude Stefan Rotter Google Scholar Volker Pernice Benjamin Staude Stefan Rotter PubMed Volker Pernice Benjamin Staude Stefan Rotter 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.