From grid cells to place cells: A mathematical model
Abstract
Anatomical connectivity and recent neurophysiological results imply that grid cells in the medial entorhinal cortex are the principal cortical inputs to place cells in the hippocampus. The authors propose a model in which place fields of hippocampal pyramidal cells are formed by linear summation of appropriately weighted inputs from entorhinal grid cells. Single confined place fields could be formed by summing input from a modest number (10-50) of grid cells with relatively similar grid phases, diverse grid orientations, and a biologically plausible range of grid spacings. When the spatial phase variation in the grid-cell input was higher, multiple, and irregularly spaced firing fields were formed. These observations point to a number of possible constraints in the organization of functional connections between grid cells and place cells.
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Grid cells were generated through constructive and destructive interference of three plane waves with unit wave vectors oriented at 60° to one another, following Solstad et al.
“We follow Solstad et al.17 and generate grid cells through constructive and destructive interference of three plane waves with unit wave vectors k_j,j=1,2,3 oriented at 60° to one another.”
From Coherently remapping toroidal cells but not Grid cells are responsible for path integration in virtual agents (2023) · cites this paper as Solstad et al.17
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“We follow Solstad et al. 17 and generate grid cells through constructive and destructive interference of three plane waves with unit wave vectors k j ; j = 1 ; 2 ; 3 oriented at 60 (cid”
BackgroundA structured scaffold underlies activity in the hippocampus
Mulders, D., Yim, M. Y., Lee, J. S., Lee, A. K., Taillefumier, T., & Fiete, I. R. (2021) · doi:10.1101/2021.11.20.469406 · Cited by 11 · see citing works
Schøyen (2022) · doi:10.1101/2022.08.18.504379 · Cited by 27 · see citing works
- Authors
- Solstad, T., Moser, E. I., & Einevoll, G. T.
- Affiliations
- Norwegian University of Science and Technology (NO)
- Norwegian University of Life Sciences (NO)
- Corresponding author
- Moser, Edvard I.
- Venue
- Hippocampus
- Publisher
- Wiley
- Published
- 2006-11-08
- Volume
- 16
- Issue
- 12
- Pages
- 1026-1031
- ISSN
- 1050-9631 (ISSN-L)
- 1098-1063
- OpenAlex
- W2067933183
- Cited by
- 477
- References
- 2
- Citations by year
- 2026: 22 · 2025: 31 · 2024: 31 · 2023: 24 · 2022: 23 · 2021: 21 · 2020: 23 · 2019: 23 · 2018: 27 · 2017: 26 · 2016: 18 · 2015: 31 · 2014: 35 · 2013: 34 · 2012: 20
- FWCI
- 9.38
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Hippocampus (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Memory and Neural Mechanisms
- Physical Sciences › Engineering › Automotive Engineering › Spatial Cognition and Navigation
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Keywords
- grid cells, place cells, medial entorhinal cortex, grid orientation, grid spacing, structural connectivity, spatial representation, mathematical model
- MeSH terms
- Animals, Hippocampus, Models, Neurological, Models, Theoretical, Neurons, Entorhinal Cortex
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