How intrinsic neuronal heterogeneity shapes the cross-correlation functions between spike trains

Abstract

Event Abstract Back to Event How intrinsic neuronal heterogeneity shapes the cross-correlation functions between spike trains Man Yi Yim1*, Ad Aertsen1 and Stefan Rotter1 1 Bernstein Center Freiburg & Faculty of Biology, University of Freiburg, Germany Neurons of the same type are intrinsically heterogeneous, showing diverse output firing rates and imprecise spike timing in response to identical fluctuating input currents (Padmanabhan and Urban, 2010). These experimental observations can be reproduced in a population of leaky integrate-and-fire (LIF) model neurons. By rescaling the dynamic equations of the LIF neuron, mathematical relations between multiple neuronal parameters and input noise have been derived, and an identical input to heterogeneous neurons can be conceived as an identical noise with neuron-specific mean and variance (Yim et al., 2011). We further investigated the response relation of pairs of heterogeneous neurons receiving identical input by studying the cross-correlation function (CCF) between their spike trains. We find that the symmetry of the CCF is broken if the rescaled mean of the input to the two neurons is different. The neuron with the higher mean has a higher firing rate and tends to spike earlier than the other one. This is consistent with the previous theoretical finding that a pair of neurons with different firing statistics can exhibit an asymmetric CCF (Ostojic et al., 2009; Tchumatchenko et al., 2010). On the other hand, the symmetry of the CCF is preserved for neurons with different rescaled variances, even when their firing rates differ. This suggests, among other things, that more excitable neurons do not necessarily respond faster to common input. Acknowledgements Supported by the German Federal Ministry of Education and Research (BMBF 01GQ0420 “BCCN Freiburg” and BMBF 01GW0730 “Impulse Control”). References Padmanabhan K, Urban NN (2010). Intrinsic biophysical diversity decorrelates neuronal firing while increasing information content. Nat Neurosci 13(10), 1276–1282. Yim MY, Aertsen A, Rotter S (2011). Impact of intrinsic neuronal heterogeneity on firing rates and spike train correlations. Front Comput Neurosci Conference Abstract: BC11: Computational Neuroscience & Neurotechnology Bernstein Conference & Neurex Annual Meeting 2011. doi: 10.3389/conf.fncom.2011.53.00213. Ostojic S, Brunel N, Hakim V (2009). How connectivity, background activity, and synaptic properties shape the cross-correlation between spike trains. J Neurosci 29(33): 10234-10253. Tchumatchenko T, Malyshev A, Geisel T, Wolf F (2010). Correlations and synchrony in threshold neuron models. Phys Rev Lett 104(5): 058102. Keywords: Neuronal heterogeneity, cross-correlation function, imprecise spike timing, LIF neuron, Noise Conference: Bernstein Conference 2012, Munich, Germany, 12 Sep - 14 Sep, 2012. Presentation Type: Poster Topic: Abstracts Citation: Yim M, Aertsen A and Rotter S (2012). How intrinsic neuronal heterogeneity shapes the cross-correlation functions between spike trains. Front. Comput. Neurosci. Conference Abstract: Bernstein Conference 2012. doi: 10.3389/conf.fncom.2012.55.00030 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: 06 Jun 2012; Published Online: 12 Sep 2012. * Correspondence: Dr. Man Yi Yim, Bernstein Center Freiburg & Faculty of Biology, University of Freiburg, Freiburg, 79104, Germany, yim@bcf.uni-freiburg.de 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 Man Yi Yim Ad Aertsen Stefan Rotter Google Man Yi Yim Ad Aertsen Stefan Rotter Google Scholar Man Yi Yim Ad Aertsen Stefan Rotter PubMed Man Yi Yim Ad Aertsen 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.