ArticleeLife2015
A principle of economy predicts the functional architecture of grid cells.
Article in eLife, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 33 papers.
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Who cites it
33 citing papers in PubMed.
- A simple model of co-emergence of grid and place fields.bioRxiv : the preprint server for biology · 2026Article
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- REMI: Reconstructing Episodic Memory During Internally Driven Path Planning.bioRxiv : the preprint server for biology · 2025Article
- A unifying theory of receptive field heterogeneity predicts hippocampal spatial tuning.bioRxiv : the preprint server for biology · 2025Article
- Spatial periodicity in grid cell firing is explained by a neural sequence code of 2-D trajectories.eLife · 2025Article
- Article
- Article
- Robust variability of grid cell properties within individual grid modules enhances encoding of local space.eLife · 2025Article
- Trading Place for Space: Increasing Location Resolution Reduces Contextual Capacity in Hippocampal Codes.bioRxiv : the preprint server for biology · 2025Article
- Robust variability of grid cell properties within individual grid modules enhances encoding of local space.bioRxiv : the preprint server for biology · 2024Article
- Determinantal point process attention over grid cell code supports out of distribution generalization.eLife · 2024Article
- Slow and steady: auditory features for discriminating animal vocalizations.bioRxiv : the preprint server for biology · 2024Article
- A Continuous Attractor Model with Realistic Neural and Synaptic Properties Quantitatively Reproduces Grid Cell Physiology.International journal of molecular sciences · 2024Article
- A Continuous Attractor Model with Realistic Neural and Synaptic Properties Quantitatively Reproduces Grid Cell Physiology.bioRxiv : the preprint server for biology · 2024Article
- Binding in hippocampal-entorhinal circuits enables compositionality in cognitive maps.Advances in neural information processing systems · 2024Article
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- Article
- Article
- Multiple bumps can enhance robustness to noise in continuous attractor networks.PLoS computational biology · 2022Article
- Efficient processing of natural scenes in visual cortex.Frontiers in cellular neuroscience · 2022Review
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Grid cells in the brain respond when an animal occupies a periodic lattice of 'grid fields' during navigation. Grids are organized in modules with different periodicity. We propose that the grid system implements a hierarchical code for space that economizes the number of neurons required to encode location with a given resolution across a range equal to the largest period. This theory predicts that (i) grid fields should lie on a triangular lattice, (ii) grid scales should follow a geometric progression, (iii) the ratio between adjacent grid scales should be √e for idealized neurons, and lie between 1.4 and 1.7 for realistic neurons, (iv) the scale ratio should vary modestly within and between animals. These results explain the measured grid structure in rodents. We also predict optimal organization in one and three dimensions, the number of modules, and, with added assumptions, the ratio between grid periods and field widths.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.