ArticlePhilosophical transactions of the Royal Society of London. Series B, Biological sciences2014
An isomorphic mapping hypothesis of the grid representation.
Article in Philosophical transactions of the Royal Society of London. Series B, Biological sciences, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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11 citing papers in PubMed, 20 citations in OpenAlex.
- Spatially structured inhibition defined by polarized parvalbumin interneuron axons promotes head direction tuning.Science advances · 2021Article
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- Episodic Memories: How do the Hippocampus and the Entorhinal Ring Attractors Cooperate to Create Them?Frontiers in systems neuroscience · 2020Article
- Inferring circuit mechanisms from sparse neural recording and global perturbation in grid cells.eLife · 2018Article
- Complementary Modular Microcircuits of the Rat Medial Entorhinal Cortex.Frontiers in systems neuroscience · 2017Article
- Cell Type-Specific Differences in Spike Timing and Spike Shape in the Rat Parasubiculum and Superficial Medial Entorhinal Cortex.Cell reports · 2016Article
- Article
- Conserved size and periodicity of pyramidal patches in layer 2 of medial/caudal entorhinal cortex.The Journal of comparative neurology · 2016Article
- Pyramidal and stellate cell specificity of grid and border representations in layer 2 of medial entorhinal cortex.Neuron · 2014Article
- Juxtacellular recording and morphological identification of single neurons in freely moving rats.Nature protocols · 2014Article
- Space in the brain: how the hippocampal formation supports spatial cognition.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2014Review
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Authors and funding
6 authors at 2 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We introduce a grid cell microcircuit hypothesis. We propose the 'grid in the world' (evident in grid cell discharges) is generated by a 'grid in the cortex'. This cortical grid is formed by patches of calbindin-positive pyramidal neurons in layer 2 of medial entorhinal cortex (MEC). Our isomorphic mapping hypothesis assumes three types of isomorphism: (i) metric correspondence of neural space (the two-dimensional cortical sheet) and the external two-dimensional space within patches; (ii) isomorphism between cellular connectivity matrix and firing field; (iii) isomorphism between single cell and population activity. Each patch is a grid cell lattice arranged in a two-dimensional map of space with a neural : external scale of approximately 1 : 2000 in the dorsal part of rat MEC. The lattice behaves like an excitable medium with neighbouring grid cells exciting each other. Spatial scale is implemented as an intrinsic scaling factor for neural propagation speed. This factor varies along the dorsoventral cortical axis. A connectivity scheme of the grid system is described. Head direction input specifies the direction of activity propagation. We extend the theory to neurons between grid patches and predict a rare discharge pattern (inverted grid cells) and the relative location and proportion of grid cells and spatial band cells.
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