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Controlling Phase Noise in Oscillatory Interference Models of Grid Cell Firing.

Burgess, CP; Burgess, N; (2014) Controlling Phase Noise in Oscillatory Interference Models of Grid Cell Firing. J Neurosci , 34 (18) 6224 - 6232. 10.1523/JNEUROSCI.2540-12.2014. Green open access

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Abstract

Oscillatory interference models account for the spatial firing properties of grid cells in terms of neuronal oscillators with frequencies modulated by the animal's movement velocity. The phase of such a "velocity-controlled oscillator" (VCO) relative to a baseline (theta-band) oscillation tracks displacement along a preferred direction. Input from multiple VCOs with appropriate preferred directions causes a grid cell's grid-like firing pattern. However, accumulating phase noise causes the firing pattern to drift and become corrupted. Here we show how multiple redundant VCOs can automatically compensate for phase noise. By entraining the baseline frequency to the mean VCO frequency, VCO phases remain consistent, ensuring a coherent grid pattern and reducing its spatial drift. We show how the spatial stability of grid firing depends on the variability in VCO phases, e.g., a phase SD of 3 ms per 125 ms cycle results in stable grids for 1 min. Finally, coupling N VCOs with similar preferred directions as a ring attractor, so that their relative phases remain constant, produces grid cells with consistently offset grids, and reduces VCO phase variability of the order square root of N. The results suggest a viable functional organization of the grid cell network, and highlight the benefit of integrating displacement along multiple redundant directions for the purpose of path integration.

Type: Article
Title: Controlling Phase Noise in Oscillatory Interference Models of Grid Cell Firing.
Open access status: An open access version is available from UCL Discovery
DOI: 10.1523/JNEUROSCI.2540-12.2014
Publisher version: http://dx.doi.org/10.1523/JNEUROSCI.2540-12.2014
Additional information: Copyright © 2014 Burgess and Burgess. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution and reproduction in any medium provided that the original work is properly attributed.
Keywords: entorhinal cortex, grid cells, hippocampus, noise, oscillatory interference, velocity controlled oscillator
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences > UCL Queen Square Institute of Neurology
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences > UCL Queen Square Institute of Neurology > Clinical and Experimental Epilepsy
URI: https://discovery.ucl.ac.uk/id/eprint/1429000
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