Grid cells, border cells, and discrete complex analysis

Autor: Yuri Dabaghian
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Frontiers in Computational Neuroscience, Vol 17 (2023)
Druh dokumentu: article
ISSN: 1662-5188
DOI: 10.3389/fncom.2023.1242300
Popis: 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.
Databáze: Directory of Open Access Journals