The medial entorhinal cortex (MEC) creates a neural representation of space through a set
of functionally dedicated cell types: grid cells, border cells, head direction cells, and speed …

The world has a complex, three-dimensional (3-D) spatial structure, but until recently the
neural representation of space was studied primarily in planar horizontal environments …

Daily experience suggests that we perceive distances near us linearly. However, the actual
geometry of spatial representation in the brain is unknown. Here we report that neurons in …

The article presents the author's results of studying hidden rules of structural organizations
of long DNA sequences in eukaryotic and prokaryotic genomes. The results concern some …

Do we expect periodic grid cells to emerge in bats, or perhaps dolphins, exploring a three-
dimensional environment? How long will it take? Our self-organizing model, based on ring …

A unique topographical representation of space is found in the concerted activity of grid cells
in the rodent medial entorhinal cortex. Many among the principal cells in this region exhibit a …

The way grid cells represent space in the rodent brain has been a striking discovery, with
theoretical implications still unclear. Unlike hippocampal place cells, which are known to …

The article is devoted to the new results of the author, which add his previously published
ones, of studying hidden rules and symmetries in structures of long single-stranded DNA …

Nearby grid cells have been observed to express a remarkable degree of long‐range order,
which is often idealized as extending potentially to infinity. Yet their strict periodic firing and …

Grid cells in the entorhinal cortex, together with head direction, place, speed and border
cells, are major contributors to the organization of spatial representations in the brain. In this …