Volume 12 Supplement 1

Twentieth Annual Computational Neuroscience Meeting: CNS*2011

Open Access

Scaling of temporal correlations in densely connected networks of LIF neurons

  • Jesús Manrique1Email author,
  • Alfonso Renart2,
  • Jaime de la Rocha3 and
  • Néstor Parga1
BMC Neuroscience201112(Suppl 1):P249

DOI: 10.1186/1471-2202-12-S1-P249

Published: 18 July 2011

It has been experimentally reported that neurons in cerebral cortex can fire in a decorrelated fashion despite presumably sharing a non-negligible fraction of their inputs[1, 2]. Performing a scaling analysis where the synaptic strengths decrease as 1/sqrt(N), being N the number of neurons in the network, it has been analytically shown [1]that randomly connected networks of binary excitatory (E) ad inhibitory (I) neurons show average correlation coefficient of the activity which decreases as 1/N while correlations of the synaptic current components remain O(1). The above applies to densely connected networks in which the connection-probability does not depend on N[1], in contrast to sparse networks where it is the number of connections of a neuron which is kept constant[3]. Here we present a numerical study of the dynamics of random and densely connected EI networks of current-based leaky-integrate-and-fire neurons. Preliminary results show the existence of two regimes depending on the magnitude of the external drive onto the network: one in which average correlations do not systematically decrease with N (regime obtained with large external currents) and one in which average correlation of voltages (Fig. 1) and spike counts decrease with N (regime obtained with small external current). Preliminary data indicates that the latter regime occurs in the presence of strong correlations of the current components. The lag between excitatory and inhibitory spikes also decays with the network size. These results suggest that a mechanism of active decorrelation of synaptic inputs similar to the one previously found for binary networks, also exists in networks of integrate-and-fire neurons.
https://static-content.springer.com/image/art%3A10.1186%2F1471-2202-12-S1-P249/MediaObjects/12868_2011_Article_2267_Fig1_HTML.jpg
Figure 1

Average correlation coefficient of the membrane potentials for EE pairs.

Authors’ Affiliations

(1)
Dpto. Física Teórica, Universidad Autónoma de Madrid
(2)
Champalimaud Centre for the Unknown
(3)
Institut d'Investigacions Biomèdiques August Pi i Sunyer(IDIBAPS)

References

  1. Renart A, de la Rocha J, Bartho P, Hollender L, Parga N, Reyes A, Harris K: The Asynchronous State in Cortical Circuits. Science. 2010, 327: 587-590. 10.1126/science.1179850.PubMed CentralView ArticlePubMedGoogle Scholar
  2. Ecker A, Berens P, Keliris G, Bethge M, Logothetis N, Tolias A: Decorrelated Neuronal Firing in Cortical Microcircuits. Science. 2010, 327: 584-587. 10.1126/science.1179867.View ArticlePubMedGoogle Scholar
  3. van Vreeswijk C, Sompolinsky H: Chaos in Neural Networks with Balanced Excitatory and Inhibitory activity. Science. 1996, 274: 1724-1726. 10.1126/science.274.5293.1724.View ArticlePubMedGoogle Scholar

Copyright

© Manrique et al; licensee BioMed Central Ltd. 2011

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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