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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

Grid cells in the entorhinal cortex are believed to establish their regular, spatially correlated firing patterns by path integration of the animal's motion. Mechanisms for path integration, e.g. in attractor network models, predict…

Neurons and Cognition · Quantitative Biology 2018-08-07 Eli Pollock , Niral Desai , Xue-Xin Wei , Vijay Balasubramanian

Grid cells in the entorhinal cortex of mammalian brains exhibit striking hexagon grid firing patterns in their response maps as the animal (e.g., a rat) navigates in a 2D open environment. In this paper, we study the emergence of the…

Neurons and Cognition · Quantitative Biology 2024-02-21 Dehong Xu , Ruiqi Gao , Wen-Hao Zhang , Xue-Xin Wei , Ying Nian Wu

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 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

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 activity of the grid cell population in the medial entorhinal cortex (MEC) of the mammalian brain forms a vector representation of the self-position of the animal. Recurrent neural networks have been proposed to explain the properties…

Neurons and Cognition · Quantitative Biology 2022-11-08 Dehong Xu , Ruiqi Gao , Wen-Hao Zhang , Xue-Xin Wei , Ying Nian Wu

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

This paper investigates the conformal isometry hypothesis as a potential explanation for the hexagonal periodic patterns in grid cell response maps. We posit that grid cell activities form a high-dimensional vector in neural space, encoding…

Neurons and Cognition · Quantitative Biology 2025-02-28 Dehong Xu , Ruiqi Gao , Wen-Hao Zhang , Xue-Xin Wei , Ying Nian Wu

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

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

In this work, we tackle the problem of modeling the vehicle environment as dynamic occupancy grid map in complex urban scenarios using recurrent neural networks. Dynamic occupancy grid maps represent the scene in a bird's eye view, where…

Robotics · Computer Science 2022-05-06 Marcel Schreiber , Vasileios Belagiannis , Claudius Glaeser , Klaus Dietmayer

Neural circuits in the brain perform a variety of essential functions, including input classification, pattern completion, and the generation of rhythms and oscillations that support processes such as breathing and locomotion. There is also…

Neurons and Cognition · Quantitative Biology 2024-10-16 Juliana Londono Alvarez

Continuous attractor neural networks generate a set of smoothly connected attractor states. In memory systems of the brain, these attractor states may represent continuous pieces of information such as spatial locations and head directions…

Disordered Systems and Neural Networks · Physics 2019-01-16 Chi Chung Alan Fung , Tomoki Fukai

Self-sustained, elevated neuronal activity persisting on time scales of ten seconds or longer is thought to be vital for aspects of working memory, including brain representations of real space. Continuous-attractor neural networks, one of…

Neurons and Cognition · Quantitative Biology 2020-08-19 Joseph L. Natale , H. George E. Hentschel , Ilya Nemenman

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

We study the statistics of spike trains of simultaneously recorded grid cells in freely behaving rats. We evaluate pairwise correlations between these cells and, using a generalized linear model (kinetic Ising model), study their functional…

Neurons and Cognition · Quantitative Biology 2015-06-19 Benjamin Dunn , Maria Mørreaunet , 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 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

The mammalian spatial navigation system makes use of several different sensory information channels. This information is then converted into a neural code that represents the animal's current position in space by engaging place cell, grid…

Neurons and Cognition · Quantitative Biology 2015-07-16 Daniel B Poll , Khanh Nguyen , Zachary P Kilpatrick
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