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Spiking Statistics of Excitatory Neuron with Feedback

Spiking Statistics of Excitatory Neuron with Feedback

Alexander Vidybida, Kseniia Kravchuk
Copyright: © 2012 |Volume: 3 |Issue: 2 |Pages: 42
ISSN: 1947-9344|EISSN: 1947-9352|EISBN13: 9781466613867|DOI: 10.4018/joci.2012040101
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MLA

Vidybida, Alexander, and Kseniia Kravchuk. "Spiking Statistics of Excitatory Neuron with Feedback." IJOCI vol.3, no.2 2012: pp.1-42. http://doi.org/10.4018/joci.2012040101

APA

Vidybida, A. & Kravchuk, K. (2012). Spiking Statistics of Excitatory Neuron with Feedback. International Journal of Organizational and Collective Intelligence (IJOCI), 3(2), 1-42. http://doi.org/10.4018/joci.2012040101

Chicago

Vidybida, Alexander, and Kseniia Kravchuk. "Spiking Statistics of Excitatory Neuron with Feedback," International Journal of Organizational and Collective Intelligence (IJOCI) 3, no.2: 1-42. http://doi.org/10.4018/joci.2012040101

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Abstract

Firing statistics of excitatory binding neuron (BN) is considered. The neuron is driven externally by a Poisson stream. Influence of feedback, which conveys every output impulse to the input with time delay , on the statistics of output spikes is studied. The resulting output stream is not Poissonian, and the authors obtain its inter-spike intervals (ISI) distribution for the case of BN, BN with instantaneous, , and delayed, , feedback. Output statistics of neuron with delayed feedback differs essentially from that found for the case of no feedback as well as from the case of instantaneous feedback. ISI distributions, found for delayed feedback, are characterized with jumps, derivative discontinuities and include -function type singularity. Also, for non-zero refractory time, the authors obtain multiple-ISI conditional probability density and prove, that delayed feedback presence results in non-Markovian statistics of neuronal firing. It is concluded, that delayed feedback presence can radically change neuronal firing statistics.

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