Recovery of stimuli encoded with a hodgkin-huxley neuron using conditional PRCs

Anmo Kim, Aurel A. Lazar

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

6 Scopus citations

Abstract

Understanding neural encoding/decoding mechanisms is one of the most fundamental problems in the field of sensory neuroscience. The Hodgkin-Huxley equations provide an explicit description of an encoding mechanism. However, the daunting complexity of the Hodgkin-Huxley equations makes the task of recovery of stimuli encoded with a Hodgkin-Huxley neuron particularly challenging. A highly effective strategy calls for reducing the Hodgkin-Huxley neuron to a project-integrate-and-fire (PIF) neuron. Using the reduced PIF model, we present three different recovery algorithms for stimuli encoded with a Hodgkin-Huxley neuron. All algorithms reconstruct the stimuli from the neuron's output spike train. The first algorithm is based on the assumption that the Hodgkin-Huxley neuron has a known PRC. The second algorithm assumes that the PRC is conditionally known on each interspike time interval. Finally, the third algorithm operates under the assumption that the conditional PRC is unknown and has to be estimated. We establish an estimate of the conditional PRC based upon the readily observable inter-spike time interval. We compare the performance of these algorithms for a wide range of input stimuli.

Original languageEnglish
Title of host publicationPhase Response Curves in Neuroscience
Subtitle of host publicationTheory, Experiment, and Analysis
PublisherSpringer New York
Pages257-277
Number of pages21
ISBN (Electronic)9781461407393
ISBN (Print)9781461407386
DOIs
StatePublished - 2012 Jan 1

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