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Entropy 2018, 20(2), 102; https://doi.org/10.3390/e20020102

Mutual Information and Information Gating in Synfire Chains

1,†
,
2,3,†
,
4,5,* and 2,6,*
1
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
2
Center for Bioinformatics, National Laboratory of Protein Engineering and Plant Genetic Engineering, School of Life Sciences, Peking University, Beijing 100871, China
3
Yuanpei School, Peking University, Beijing 100871, China
4
Information Sciences, CCS-3, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
5
Department of Mathematics, University of California, Davis, CA 95616, USA
6
Center for Quantitative Biology, Peking University, Beijing 100871, China
These authors contributed equally to this work.
*
Authors to whom correspondence should be addressed.
Received: 22 December 2017 / Revised: 29 January 2018 / Accepted: 30 January 2018 / Published: 1 February 2018
(This article belongs to the Special Issue Information Theory in Neuroscience)
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Abstract

Coherent neuronal activity is believed to underlie the transfer and processing of information in the brain. Coherent activity in the form of synchronous firing and oscillations has been measured in many brain regions and has been correlated with enhanced feature processing and other sensory and cognitive functions. In the theoretical context, synfire chains and the transfer of transient activity packets in feedforward networks have been appealed to in order to describe coherent spiking and information transfer. Recently, it has been demonstrated that the classical synfire chain architecture, with the addition of suitably timed gating currents, can support the graded transfer of mean firing rates in feedforward networks (called synfire-gated synfire chains—SGSCs). Here we study information propagation in SGSCs by examining mutual information as a function of layer number in a feedforward network. We explore the effects of gating and noise on information transfer in synfire chains and demonstrate that asymptotically, two main regions exist in parameter space where information may be propagated and its propagation is controlled by pulse-gating: a large region where binary codes may be propagated, and a smaller region near a cusp in parameter space that supports graded propagation across many layers. View Full-Text
Keywords: pulse-gating; channel capacity; neural coding; feedforward networks; neural information propagation pulse-gating; channel capacity; neural coding; feedforward networks; neural information propagation
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Xiao, Z.; Wang, B.; Sornborger, A.T.; Tao, L. Mutual Information and Information Gating in Synfire Chains. Entropy 2018, 20, 102.

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