topological data analysis
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Space wrapped onto a grid cell torus
Entorhinal grid cells, so-called because of their hexagonally tiled spatial receptive fields, are organized in modules which, collectively, are believed to form a population code for the animal’s position. Here, we apply topological data analysis to simultaneous recordings of hundreds of grid cells and show that joint activity of grid cells within a module lies on a toroidal manifold. Each position of the animal in its physical environment corresponds to a single location on the torus, and each grid cell is preferentially active within a single “field” on the torus. Toroidal firing positions persist between environments, and between wakefulness and sleep, in agreement with continuous attractor models of grid cells.
Topological data analysis of cortical word representations in health and schizophrenia
FENS Forum 2024
Topological data analysis reveals brain connectivity differences between schizophrenia subjects and healthy controls
FENS Forum 2024
topological data analysis coverage
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