Chaos is Unlikely to Underly the Irregularity of Cortical Dynamics
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1
Network Dynamics Group Associate, Mongolia
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2
Max Planck Institute for Dynamics and Self-Organization (MPIDS), Germany
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3
Bernstein Center for Computational Neuroscience (BCCN) , Germany
Local cortical circuits often exhibit spiking dynamics that is highly irregular and appears as if it was random. This irregular dynamics is commonly considered as a 'ground state' of cortical circuits. In a seminal work, van Vreeswijk and Sompolinsky [Science 1996] suggested that a “chaotic balanced state” underlies this irregular cortical activity. In such a balanced state strong inhibitory and excitatory inputs to each neuron balance on average and only the fluctuations generate spikes. Moreover, the original high-dimensional network dynamics and a slightly perturbed version of it rapidly diverge from each other, suggesting that chaos is the dynamical mechanism that induces irregularity. Here we demonstrate that irregular balanced activity with the same coarse statistical features may equally well be generated by collective dynamics that is not chaotic but stable almost everywhere in state space. Our results reveal that chaos is not necessary to generate irregular balanced activity in an entire class of spiking neural networks. Most importantly, the results also indicate that not chaos but some other dynamical mechanism actually underlies the observed irregularity.
References
1. Stable Irregular Dynamics in Complex Neural Networks S. Jahnke, R.-M. Memmesheimer, and M. Timme Phys. Rev. Lett. 100:048102 (2008).
Conference:
Bernstein Symposium 2008, Munich, Germany, 8 Oct - 10 Oct, 2008.
Presentation Type:
Oral Presentation
Topic:
All Abstracts
Citation:
Jahnke
S,
Memmesheimer
R and
Timme
M
(2008). Chaos is Unlikely to Underly the Irregularity of Cortical Dynamics.
Front. Comput. Neurosci.
Conference Abstract:
Bernstein Symposium 2008.
doi: 10.3389/conf.neuro.10.2008.01.006
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Received:
11 Nov 2008;
Published Online:
11 Nov 2008.
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Correspondence:
Marc Timme, Max Planck Institute for Dynamics and Self-Organization (MPIDS), Göttingen, Germany, timme@nld.ds.mpg.de