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- W4387499338 abstract "We propose a mechanism enabling the appearance of border cells—neurons firing at the boundaries of the navigated enclosures. The approach is based on the recent discovery of discrete complex analysis on a triangular lattice, which allows constructing discrete epitomes of complex-analytic functions and making use of their inherent ability to attain maximal values at the boundaries of generic lattice domains. As it turns out, certain elements of the discrete-complex framework readily appear in the oscillatory models of grid cells. We demonstrate that these models can extend further, producing cells that increase their activity toward the frontiers of the navigated environments. We also construct a network model of neurons with border-bound firing that conforms with the oscillatory models." @default.
- W4387499338 created "2023-10-11" @default.
- W4387499338 creator A5004461267 @default.
- W4387499338 date "2023-10-10" @default.
- W4387499338 modified "2023-10-12" @default.
- W4387499338 title "Grid cells, border cells, and discrete complex analysis" @default.
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