Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Spherical Coordinates01:23

Spherical Coordinates

14.9K
Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
14.9K
Spherical and Cylindrical Capacitor01:26

Spherical and Cylindrical Capacitor

6.7K
A spherical capacitor consists of two concentric conducting spherical shells of radii R1 (inner shell) and R2 (outer shell). The shells have  equal and opposite charges of +Q and −Q, respectively. For an isolated conducting spherical capacitor, the radius of the outer shell can be considered to be infinite.
Conventionally, considering the  symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field,...
6.7K
Gravity between Spherical Bodies01:27

Gravity between Spherical Bodies

9.3K
Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
This assumption can be proved easily by showing that the expression for gravitational potential energy between a hollow sphere of mass (M) and a point mass (m) is the same as it would be for a pair of extended...
9.3K
Frustration and Conflict: Approach-Approach, Approach-Avoidance01:20

Frustration and Conflict: Approach-Approach, Approach-Avoidance

491
Frustration occurs when people are obstructed or prevented from achieving a desired goal or fulfilling a perceived need. For example, when someone's input is ignored in a discussion, it can lead to feelings of frustration. Conflict, however, arises from opposing interests, goals, or actions. Conflicts can take various forms based on the nature of these opposing desires or goals.
One common type of conflict is the Approach–Approach Conflict. In this case, a person faces two desirable...
491
Gravitation Between Spherically Symmetric Masses01:14

Gravitation Between Spherically Symmetric Masses

1.3K
The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.
1.3K
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

9.1K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
9.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Distinct neural dynamics in the ventral hippocampus and medial prefrontal cortex during social information processing.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

Continuous Quasi-Attractors dissolve with too much - or too little - variability.

PNAS nexus·2024
Same author

Taking time to compose thoughts with prefrontal schemata.

Experimental brain research·2024
Same author

In poetry, if meter has to help memory, it takes its time.

Open research Europe·2023
Same author

Assessments of dentate gyrus function: discoveries and debates.

Nature reviews. Neuroscience·2023
Same author

Narratives need not end well; nor say it all.

The Behavioral and brain sciences·2023

Related Experiment Video

Updated: Jan 21, 2026

Author Spotlight: Enhancing Cryo-EM Sample Preparation with Streptavidin-Biotin Approach
04:51

Author Spotlight: Enhancing Cryo-EM Sample Preparation with Streptavidin-Biotin Approach

Published on: December 29, 2023

6.8K

Partial coherence and frustration in self-organizing spherical grids.

Federico Stella1, Eugenio Urdapilleta2,3, Yifan Luo3

  • 1Institute of Science and Technology Austria, Klosterneuburg, Austria.

Hippocampus
|July 25, 2019
PubMed
Summary

Rodent grid cells, crucial for navigation, show distorted, clustered firing patterns on curved surfaces, unlike flat environments. This suggests lab findings may not fully represent natural navigation in complex terrains.

Keywords:
continuous attractorcurved environmentensemble coherencegrid cellsremapping

More Related Videos

Partial Hepatectomy in Adult Zebrafish
06:06

Partial Hepatectomy in Adult Zebrafish

Published on: April 4, 2021

4.5K
Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
08:42

Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method

Published on: September 3, 2021

3.5K

Related Experiment Videos

Last Updated: Jan 21, 2026

Author Spotlight: Enhancing Cryo-EM Sample Preparation with Streptavidin-Biotin Approach
04:51

Author Spotlight: Enhancing Cryo-EM Sample Preparation with Streptavidin-Biotin Approach

Published on: December 29, 2023

6.8K
Partial Hepatectomy in Adult Zebrafish
06:06

Partial Hepatectomy in Adult Zebrafish

Published on: April 4, 2021

4.5K
Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
08:42

Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method

Published on: September 3, 2021

3.5K

Area of Science:

  • Neuroscience
  • Computational Neuroscience
  • Animal Behavior

Background:

  • Grid cells in the rodent brain exhibit remarkable long-range order and coherence in flat environments.
  • This periodic firing is theoretically linked to flat spatial manifolds, contrasting with natural rodent habitats like burrows.

Purpose of the Study:

  • To investigate how grid cell network dynamics adapt to curved environments, using spheres as a model.
  • To predict the emergent properties of grid maps in non-flat terrains and assess their ecological relevance.

Main Methods:

  • Utilized an adaptation model of recurrent neural networks known to produce coherent grid maps on a plane.
  • Simulated network activity on spherical environments to observe changes in grid cell firing patterns.

Main Results:

  • Recurrent connections that induce coherence on a plane distort individual grid cell maps on a sphere.
  • Grid cells aggregate into clusters on spherical surfaces, losing their uniform long-range order.

Conclusions:

  • Grid cell network organization differs significantly between flat laboratory conditions and curved natural environments.
  • The observed clustering and partial coherence on spheres resemble disordered systems like spin glasses, impacting navigational relevance.