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The role of oscillations in grid cells’ toroidal topology

Fig 9

Barcodes for the simulated population with oscillations are similar to data.

Barcodes from experimental data (A), simulation with oscillatory modulation (B) and simulation without (C). The barcodes from simulations with oscillations (B) look very similar to the data barcode (A), as quantified by . The parameters of the oscillations are as described in Methods. When oscillations are removed (C), toroidal topology can still be present, but the barcodes are far from the data. (D) The histogram shows that the difference between the death radius of the longest bar in H₁ and the birth radius of the longest bar in H₂ takes a large positive value in the data and in the simulation with oscillations, while it is much closer to zero in the simulation without oscillations. The long bar in H₂ is consistently born at the same time as the longest bars in H₁ die. The histogram is from 20 realizations in each case.

doi: https://doi.org/10.1371/journal.pcbi.1012776.g009