Student and Faculty Publications
Publication Date
1-1-2023
Journal
Frontiers in Computational Neuroscience
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.
Keywords
grid cells, border cells, percolation, discrete complex analysis, learning and memory, hippocampo-cortical network
Included in
Bioinformatics Commons, Biomedical Informatics Commons, Neurosciences Commons, Oncology Commons
Comments
PMID: 37881247