Grid Cell Responses in 1D Environments Assessed as Slices through a 2D Lattice.

TitleGrid Cell Responses in 1D Environments Assessed as Slices through a 2D Lattice.
Publication TypeJournal Article
Year of Publication2016
AuthorsYoon, KJ, Lewallen, S, Kinkhabwala, AA, Tank, DW, Fiete, IR
Date Published2016 03 02
KeywordsAnimals, Fourier Analysis, Humans, Mathematics, Membrane Potentials, Models, Neurological, Neurons, Population Dynamics, Space Perception

Grid cells, defined by their striking periodic spatial responses in open 2D arenas, appear to respond differently on 1D tracks: the multiple response fields are not periodically arranged, peak amplitudes vary across fields, and the mean spacing between fields is larger than in 2D environments. We ask whether such 1D responses are consistent with the system's 2D dynamics. Combining analytical and numerical methods, we show that the 1D responses of grid cells with stable 1D fields are consistent with a linear slice through a 2D triangular lattice. Further, the 1D responses of comodular cells are well described by parallel slices, and the offsets in the starting points of the 1D slices can predict the measured 2D relative spatial phase between the cells. From these results, we conclude that the 2D dynamics of these cells is preserved in 1D, suggesting a common computation during both types of navigation behavior.

Alternate JournalNeuron
PubMed ID26898777
Grant ListT32 MH065214 / MH / NIMH NIH HHS / United States
5R37NS081242-04 / NS / NINDS NIH HHS / United States
5T32MH065214-13 / MH / NIMH NIH HHS / United States