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The grid firing patterns are thought to provide an efficient intrinsic metric capable of supporting universal spatial metric for mammalian spatial navigation in all environments. However, whether spatial representations of grid cells in the…

Neurons and Cognition · Quantitative Biology 2019-10-14 Taiping Zeng , XiaoLi Li , Bailu Si

About a decade ago grid cells were discovered in the medial entorhinal cortex of rat. Their peculiar firing patterns, which correlate with periodic locations in the environment, led to early hypothesis that grid cells may provide some form…

Neurons and Cognition · Quantitative Biology 2018-10-18 Jochen Kerdels , Gabriele Peters

The spatial responses of many of the cells recorded in all layers of rodent medial entorhinal cortex (mEC) show a triangular grid pattern, and once established might be based in part on path-integration mechanisms. Grid axes are tightly…

Neurons and Cognition · Quantitative Biology 2012-03-20 Bailu Si , Emilio Kropff , Alessandro Treves

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…

Neurons and Cognition · Quantitative Biology 2023-05-09 Y. Dabaghian

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 work we introduce a novel theoretical and…

Neurons and Cognition · Quantitative Biology 2019-07-25 Fabio Anselmi , Micah M. Murray , Benedetta Franceschiello

Grid cells enable the brain to model the physical space of the world and navigate effectively via path integration, updating self-position using information from self-movement. Recent proposals suggest that the brain might use similar…

Artificial Intelligence · Computer Science 2021-02-19 Niels Leadholm , Marcus Lewis , Subutai Ahmad

Grid cells in the rodent entorhinal cortex display strikingly regular firing responses to the animal's position in 2-D space, and have been hypothesized to form the neural substrate for dead-reckoning. However, in previous models suggested…

Neurons and Cognition · Quantitative Biology 2009-02-20 Yoram Burak , Ila R. Fiete

Research on network mechanisms and coding properties of grid cells assume that the firing rate of a grid cell in each of its fields is the same. Furthermore, proposed network models predict spatial regularities in the firing of inhibitory…

Neurons and Cognition · Quantitative Biology 2017-01-19 Benjamin Dunn , Daniel Wennberg , Ziwei Huang , Yasser Roudi

The grid cells (GCs) of the medial entorhinal cortex (MEC) and place cells (PCs) of the hippocampus are key elements of the brain network for the metric representation of space. Currently, any of the existing theoretical models can explain…

Neurons and Cognition · Quantitative Biology 2015-07-01 Andrey Stepanyuk

Grid cells in the medial entorhinal cortex (MEC) of the mammalian brain exhibit a strikingly regular hexagonal firing field over space. These cells are learned after birth and are thought to support spatial navigation but also more abstract…

Neurons and Cognition · Quantitative Biology 2024-10-07 Mufeng Tang , Helen Barron , Rafal Bogacz

Decades of research on the neural code underlying spatial navigation have revealed a diverse set of neural response properties. The Entorhinal Cortex (EC) of the mammalian brain contains a rich set of spatial correlates, including grid…

Neurons and Cognition · Quantitative Biology 2018-05-11 Christopher J. Cueva , Xue-Xin Wei

Grid cells in the medial entorhinal cortex (MEC) respond when an animal occupies a periodic lattice of "grid fields" in the environment. The grids are organized in modules with spatial periods, or scales, clustered around discrete values…

Neurons and Cognition · Quantitative Biology 2019-03-13 Louis Kang , Vijay Balasubramanian

Since their Nobel Prize winning discovery in 2005, grid cells have been studied extensively by neuroscientists. Their multi-scale periodic firing rates tiling the environment as the animal moves around has been shown as critical for path…

Neurons and Cognition · Quantitative Biology 2022-10-24 Jason Toy

Grid cells, discovered more than a decade ago [5], are neurons in the brain of mammals that fire when the animal is located near certain specific points in its familiar terrain. Intriguingly, these points form, for a single cell, a…

Neurons and Cognition · Quantitative Biology 2016-06-16 Christos H. Papadimitriou

Grid cells in the brain respond when an animal occupies a periodic lattice of "grid fields" during spatial navigation. The grid scale varies along the dorso-ventral axis of the entorhinal cortex. We propose that the grid system minimizes…

Neurons and Cognition · Quantitative Biology 2018-05-14 Xue-Xin Wei , Jason Prentice , Vijay Balasubramanian

Work on deep learning-based models of grid cells suggests that grid cells generically and robustly arise from optimizing networks to path integrate, i.e., track one's spatial position by integrating self-velocity signals. In previous work,…

Neurons and Cognition · Quantitative Biology 2023-12-19 Rylan Schaeffer , Mikail Khona , Sanmi Koyejo , Ila Rani Fiete

Grid cells play a principal role in enabling mammalian cognitive representations of ambient environments. The key property of these cells -- the regular arrangement of their firing fields -- is commonly viewed as means for establishing…

Neurons and Cognition · Quantitative Biology 2022-08-30 Yuri Dabaghian

High-dimensional neural activity often reside in a low-dimensional subspace, referred to as neural manifolds. Grid cells in the medial entorhinal cortex provide a periodic spatial code that are organized near a toroidal manifold,…

Neurons and Cognition · Quantitative Biology 2025-10-22 Yuxing Jared Yao , Iris H. R. Yoon

Grid cells in medial entorhinal cortex are believed to play a key role in path integration. However, the relation between path integration and the grid-like arrangement of their firing field remains unclear. We provide theoretical evidence…

Neural and Evolutionary Computing · Computer Science 2016-06-06 Reza Moazzezi

Grid cells in the entorhinal cortex fire when animals that are exploring a certain region of space occupy the vertices of a triangular grid that spans the environment. Different neurons feature triangular grids that differ in their…

Neurons and Cognition · Quantitative Biology 2017-01-04 Alessandro Sanzeni , Vijay Balasubramanian , Guido Tiana , Massimo Vergassola
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