Place-cell capacity and volatility with grid-like inputs
Abstract
What factors constrain the arrangement of the multiple fields of a place cell? By modeling place cells as perceptrons that act on multiscale periodic grid-cell inputs, we analytically enumerate a place cell’s repertoire – how many field arrangements it can realize without external cues while its grid inputs are unique – and derive its capacity – the spatial range over which it can achieve any field arrangement. We show that the repertoire is very large and relatively noise-robust. However, the repertoire is a vanishing fraction of all arrangements, while capacity scales only as the sum of the grid periods so field arrangements are constrained over larger distances. Thus, grid-driven place field arrangements define a large response scaffold that is strongly constrained by its structured inputs. Finally, we show that altering grid-place weights to generate an arbitrary new place field strongly affects existing arrangements, which could explain the volatility of the place code.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 24, 2021
- Source ID
- 10.7554/elife.62702
Entities
People
- Ila R Fiete
- Lorenzo Sadun
- Man Yi Yim
- Thibaud Taillefumier
Organizations
- Alfred P. Sloan Foundation
- Howard Hughes Medical Institute
- Massachusetts Institute of Technology
- Office of Naval Research
- Simons Foundation
- University of Texas at Austin