Evaluation of the oscillatory interference model of grid cell firing through analysis and measured period variance of some biological oscillators.

PLoS Computational Biology
Eric A ZilliMichael E Hasselmo

Abstract

Models of the hexagonally arrayed spatial activity pattern of grid cell firing in the literature generally fall into two main categories: continuous attractor models or oscillatory interference models. Burak and Fiete (2009, PLoS Comput Biol) recently examined noise in two continuous attractor models, but did not consider oscillatory interference models in detail. Here we analyze an oscillatory interference model to examine the effects of noise on its stability and spatial firing properties. We show analytically that the square of the drift in encoded position due to noise is proportional to time and inversely proportional to the number of oscillators. We also show there is a relatively fixed breakdown point, independent of many parameters of the model, past which noise overwhelms the spatial signal. Based on this result, we show that a pair of oscillators are expected to maintain a stable grid for approximately t = 5mu(3)/(4pisigma)(2) seconds where mu is the mean period of an oscillator in seconds and sigma(2) its variance in seconds(2). We apply this criterion to recordings of individual persistent spiking neurons in postsubiculum (dorsal presubiculum) and layers III and V of entorhinal cortex, to subthreshold membrane poten...Continue Reading

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Citations

Apr 4, 2014·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Daniel Bush, Neil Burgess
May 3, 2014·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Christopher P Burgess, Neil Burgess
Oct 15, 2010·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Eric A Zilli, Michael E Hasselmo
Sep 2, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Motoharu YoshidaMichael E Hasselmo
Nov 11, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Adam C WeldayHugh T Blair
Jun 1, 2012·Neural Systems & Circuits·Caswell Barry, Daniel Bush
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Dec 25, 2013·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Michael E Hasselmo
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Aug 7, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Michael E HasselmoEric A Zilli
Apr 21, 2016·The Journal of Physiology·Florian RaudiesMichael E Hasselmo
Jan 27, 2019·PLoS Computational Biology·Joseph D MonacoKechen Zhang
May 18, 2010·Neuron·Ila R Fiete
Aug 27, 2011·Neuron·Lisa M GiocomoEdvard I Moser

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Software Mentioned

Clampex
Clampfit
MATLAB

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