The role of oscillations in grid cells’ toroidal topology
Fig 6
Toroidality has a sigmoidal dependence on temporal jitter magnitude over a range in which hexagonality is maintained.
(A) Effect of jittering spike times on the degree of toroidal topology of module (
on the left and
on the right) is sigmoidal. The star shows the value of
(see Methods Estimating time scales for details) and the inset shows the slope at the inflection point. (B) Subset of 5 (out of 149) rate maps (left) and the barcode (right) relative to the entire population for a value of jitter smaller than
(
ms) showing toroidal topology. (C) Subset of 5 (out of 149) rate maps (left) and the barcode (right) relative to the entire population for a value of jitter larger than
(
ms) which is inconsistent with toroidal topology. (D) Grid scores of the jittered spike trains show little change compared to the unperturbed ones. (E) Same as (A)-(D) for module
. (F) Same as (A)-(D) and (E) for module
.