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A local measure of symmetry and orientation for individual spikes of grid cells

Fig 7

Visualizing and quantifying local changes in orientation of grid patterns.

a, b, c, d) From left to right: spike locations; spike locations where each spike is color-coded with its score (global Ψ score shown above); autocorrelogram of the firing pattern (ρ score shown above); spike locations where each spike is color coded with its orientation θ_k (global orientation Θ shown above); four different spatial partitionings of the arena where black lines show partition boundaries and colors of partitions show the average orientation within each partition (mean of θ_k values) using the orientation color-code. a) Generated perfect grid pattern with orientation of 10 degrees. b) Generated grid pattern with abrupt change in orientation. c) Generated grid pattern with drifting orientation. d) Experimentally recorded grid pattern with drift in orientation. e) Four further experimental examples and the average of their spike-based orientation values in west-east and south-north partitionings. f) Orientations along west-east and south-north in the partitions shown in e. Data kindly provided by Stensola et al. [10].

doi: https://doi.org/10.1371/journal.pcbi.1006804.g007