Controlling Phase Noise in Oscillatory Interference Models of Grid Cell Firing

Christopher Burgess, Neil Burgess

    Research output: Contribution to journalArticlepeer-review

    13 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)6224-6232
    Number of pages9
    JournalJournal of Neuroscience
    Issue number18
    Publication statusPublished - 2014


    • Entorhinal cortex
    • Grid cells
    • Hippocampus
    • Noise
    • Oscillatory interference
    • Velocity controlled oscillator


    Dive into the research topics of 'Controlling Phase Noise in Oscillatory Interference Models of Grid Cell Firing'. Together they form a unique fingerprint.

    Cite this