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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 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

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

Grid cells in the entorhinal cortex encode the position of an animal in its environment using spatially periodic tuning curves of varying periodicity. Recent experiments established that these cells are functionally organized in discrete…

Neurons and Cognition · Quantitative Biology 2016-01-13 Noga Weiss Mosheiff , Haggai Agmon , Avraham Moriel , Yoram Burak

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

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

This paper investigates whether the hexagonal structure of grid cells provides any performance benefits or if it merely represents a biologically convenient configuration. Utilizing the Vector-HaSH content addressable memory model as a…

Neurons and Cognition · Quantitative Biology 2024-10-17 Taahaa Mir , Peipei Yao , Kateri Duranceau , Isabeau Prémont-Schwarz

The hippocampus encodes space through a striking gradient of place field sizes along its dorsal-ventral axis, yet the principles generating this continuous gradient from discrete grid cell inputs remain debated. We propose a unified…

Neurons and Cognition · Quantitative Biology 2025-06-06 Shujun Zhou , Guozhang Chen

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 entorhinal-hippocampal formation is the mammalian brain's navigation system, encoding both physical and abstract spaces via grid cells. This system is well-studied in neuroscience, and its efficiency and versatility make it attractive…

Neural and Evolutionary Computing · Computer Science 2025-03-12 Sven Krausse , Emre Neftci , Friedrich T. Sommer , Alpha Renner

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

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

The entorhinal-hippocampal circuit plays a critical role in higher brain functions, especially spatial cognition. Grid cells in the medial entorhinal cortex (MEC) periodically fire with different grid spacing and orientation, which makes a…

Neurons and Cognition · Quantitative Biology 2019-10-11 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

Place cells in the hippocampus are active when an animal visits a certain location (referred to as a place field) within an environment. Grid cells in the medial entorhinal cortex (MEC) respond at multiple locations, with firing fields that…

Neurons and Cognition · Quantitative Biology 2018-05-17 David M. Schwartz , O. Ozan Koyluoglu

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

Fourier-like summation of several grid cell modules with different spatial frequencies in the medial entorhinal cortex (MEC) has long been proposed to form the contours of place firing fields. Recent experiments largely, but not completely,…

Neurons and Cognition · Quantitative Biology 2019-10-15 Taiping Zeng , XiaoLi Li , Bailu Si

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

Grid cells in the medial entorhinal cortex and place cells in the hippocampus together support spatial navigation. The two regions are reciprocally connected, and there is a chicken-and-egg problem for how both arise and reinforce each…

Neurons and Cognition · Quantitative Biology 2026-05-21 Zhaoze Wang , Genela Morris , Dori Derdikman , Pratik Chaudhari , Vijay Balasubramanian
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