NDLI: Structured chaos shapes spike-response noise entropy in balanced neural networks

Content Provider	PubMed Central
Author	Lajoie, Guillaume Thivierge, Jean-philippe Eric, Shea-brown
Copyright Year	2014
Abstract	Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. For many models of these networks, a striking feature is that their dynamics are chaotic and thus, are sensitive to small perturbations. How does this chaos manifest in the neural code? Specifically, how variable are the spike patterns that such a network produces in response to an input signal? To answer this, we derive a bound for a general measure of variability—spike-train entropy. This leads to important insights on the variability of multi-cell spike pattern distributions in large recurrent networks of spiking neurons responding to fluctuating inputs. The analysis is based on results from random dynamical systems theory and is complemented by detailed numerical simulations. We find that the spike pattern entropy is an order of magnitude lower than what would be extrapolated from single cells. This holds despite the fact that network coupling becomes vanishingly sparse as network size grows—a phenomenon that depends on “extensive chaos,” as previously discovered for balanced networks without stimulus drive. Moreover, we show how spike pattern entropy is controlled by temporal features of the inputs. Our findings provide insight into how neural networks may encode stimuli in the presence of inherently chaotic dynamics.
Related Links	http://dx.doi.org/10.3389/fncom.2014.00123
Starting Page	123
File Format	PDF
ISSN	16625188
e-ISSN	16625188
Journal	Frontiers in Computational Neuroscience
Volume Number	8
Language	English
Publisher	Frontiers Media S.A.
Publisher Date	2014-10-01
Access Restriction	Open
Rights Holder	Frontiers Media S.A.
Subject Keyword	Cellular and Molecular Neuroscience Neuroscience (miscellaneous) Research in Higher Education
Content Type	Text
Resource Type	Article
Subject	Cellular and Molecular Neuroscience

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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