---
_id: '6796'
abstract:
- lang: eng
  text: Nearby grid cells have been observed to express a remarkable degree of long-rangeorder,
    which is often idealized as extending potentially to infinity. Yet their strict
    peri-odic firing and ensemble coherence are theoretically possible only in flat
    environments, much unlike the burrows which rodents usually live in. Are the symmetrical,
    coherent grid maps inferred in the lab relevant to chart their way in their natural
    habitat? We consider spheres as simple models of curved environments and waiting
    for the appropriate experiments to be performed, we use our adaptation model to
    predict what grid maps would emerge in a network with the same type of recurrent
    connections, which on the plane produce coherence among the units. We find that
    on the sphere such connections distort the maps that single grid units would express
    on their own, and aggregate them into clusters. When remapping to a different
    spherical environment, units in each cluster maintain only partial coherence,
    similar to what is observed in disordered materials, such as spin glasses.
article_processing_charge: No
article_type: original
author:
- first_name: Federico
  full_name: Stella, Federico
  id: 39AF1E74-F248-11E8-B48F-1D18A9856A87
  last_name: Stella
  orcid: 0000-0001-9439-3148
- first_name: Eugenio
  full_name: Urdapilleta, Eugenio
  last_name: Urdapilleta
- first_name: Yifan
  full_name: Luo, Yifan
  last_name: Luo
- first_name: Alessandro
  full_name: Treves, Alessandro
  last_name: Treves
citation:
  ama: Stella F, Urdapilleta E, Luo Y, Treves A. Partial coherence and frustration
    in self-organizing spherical grids. <i>Hippocampus</i>. 2020;30(4):302-313. doi:<a
    href="https://doi.org/10.1002/hipo.23144">10.1002/hipo.23144</a>
  apa: Stella, F., Urdapilleta, E., Luo, Y., &#38; Treves, A. (2020). Partial coherence
    and frustration in self-organizing spherical grids. <i>Hippocampus</i>. Wiley.
    <a href="https://doi.org/10.1002/hipo.23144">https://doi.org/10.1002/hipo.23144</a>
  chicago: Stella, Federico, Eugenio Urdapilleta, Yifan Luo, and Alessandro Treves.
    “Partial Coherence and Frustration in Self-Organizing Spherical Grids.” <i>Hippocampus</i>.
    Wiley, 2020. <a href="https://doi.org/10.1002/hipo.23144">https://doi.org/10.1002/hipo.23144</a>.
  ieee: F. Stella, E. Urdapilleta, Y. Luo, and A. Treves, “Partial coherence and frustration
    in self-organizing spherical grids,” <i>Hippocampus</i>, vol. 30, no. 4. Wiley,
    pp. 302–313, 2020.
  ista: Stella F, Urdapilleta E, Luo Y, Treves A. 2020. Partial coherence and frustration
    in self-organizing spherical grids. Hippocampus. 30(4), 302–313.
  mla: Stella, Federico, et al. “Partial Coherence and Frustration in Self-Organizing
    Spherical Grids.” <i>Hippocampus</i>, vol. 30, no. 4, Wiley, 2020, pp. 302–13,
    doi:<a href="https://doi.org/10.1002/hipo.23144">10.1002/hipo.23144</a>.
  short: F. Stella, E. Urdapilleta, Y. Luo, A. Treves, Hippocampus 30 (2020) 302–313.
date_created: 2019-08-11T21:59:24Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2023-08-17T13:53:14Z
day: '01'
ddc:
- '570'
department:
- _id: JoCs
doi: 10.1002/hipo.23144
external_id:
  isi:
  - '000477299600001'
  pmid:
  - '31339190'
file:
- access_level: open_access
  checksum: 7b54d22bfbfc0d1188a9ea24d985bfb2
  content_type: application/pdf
  creator: dernst
  date_created: 2019-08-12T07:53:33Z
  date_updated: 2020-07-14T12:47:40Z
  file_id: '6800'
  file_name: 2019_Hippocampus_Stella.pdf
  file_size: 2370658
  relation: main_file
file_date_updated: 2020-07-14T12:47:40Z
has_accepted_license: '1'
intvolume: '        30'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 302-313
pmid: 1
publication: Hippocampus
publication_identifier:
  eissn:
  - '10981063'
  issn:
  - '10509631'
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Partial coherence and frustration in self-organizing spherical grids
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 30
year: '2020'
...