The role of oscillations in grid cells' toroidal topology.

ABSTRACT: Persistent homology applied to the activity of grid cells in the Medial Entorhinal Cortex suggests that this activity lies on a toroidal manifold. By analyzing real data and a simple model, we show that neural oscillations play a key role in the appearance of this toroidal topology. To quantitatively monitor how changes in spike trains influence the topology of the data, we first define a robust measure for the degree of toroidality of a dataset. Using this measure, we find that small perturbations ([Formula: see text]100 ms) of spike times have little influence on both the toroidality and the hexagonality of the ratemaps. Jittering spikes by [Formula: see text]100-500 ms, however, destroys the toroidal topology, while still having little impact on grid scores. These critical jittering tim

SUBMITTER: di Sarra G 

PROVIDER: S-EPMC12165393 | biostudies-literature | 2025 Jan

REPOSITORIES: biostudies-literature