Integrated analysis of cell shape and movement in moving frame.
Cell movement
Cell shape
Integrated analysis
Moving frame
Spherical harmonics
Journal
Biology open
ISSN: 2046-6390
Titre abrégé: Biol Open
Pays: England
ID NLM: 101578018
Informations de publication
Date de publication:
26 03 2021
26 03 2021
Historique:
pubmed:
6
3
2021
medline:
20
1
2022
entrez:
5
3
2021
Statut:
epublish
Résumé
The cell's movement and morphological change are two interrelated cellular processes. An integrated analysis is needed to explore the relationship between them. However, it has been challenging to investigate them as a whole. The cell's trajectory can be described by its speed, curvature, and torsion. On the other hand, the three-dimensional (3D) cell shape can be studied by using a shape descriptor such as spherical harmonic (SH) descriptor, which is an extension of a Fourier transform in 3D space. We propose a novel method using parallel-transport (PT) to integrate these shape-movement data by using moving frames as the 3D-shape coordinate system. This moving frame is purely determined by the velocity vector. On this moving frame, the movement change will influence the coordinate system for shape analysis. By analyzing the change of the SH coefficients over time in the moving frame, we can observe the relationship between shape and movement. We illustrate the application of our approach using simulated and real datasets in this paper.
Identifiants
pubmed: 33664097
pii: bio.058512
doi: 10.1242/bio.058512
pmc: PMC8015248
pii:
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Informations de copyright
© 2021. Published by The Company of Biologists Ltd.
Déclaration de conflit d'intérêts
Competing interestsThe authors declare no competing or financial interests.
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