Integrated analysis of cell shape and movement in moving frame
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,...
Main Authors: | , , , , , |
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Format: | Article |
Language: | English |
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The Company of Biologists
2021-03-01
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Series: | Biology Open |
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Online Access: | http://bio.biologists.org/content/10/3/bio058512 |
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author | Yusri Dwi Heryanto Chin-Yi Cheng Yutaka Uchida Kazushi Mimura Masaru Ishii Ryo Yamada |
author_facet | Yusri Dwi Heryanto Chin-Yi Cheng Yutaka Uchida Kazushi Mimura Masaru Ishii Ryo Yamada |
author_sort | Yusri Dwi Heryanto |
collection | DOAJ |
description | 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. |
first_indexed | 2024-12-21T17:04:38Z |
format | Article |
id | doaj.art-f5434419e31a48f9979e275b89bbf3e9 |
institution | Directory Open Access Journal |
issn | 2046-6390 |
language | English |
last_indexed | 2024-12-21T17:04:38Z |
publishDate | 2021-03-01 |
publisher | The Company of Biologists |
record_format | Article |
series | Biology Open |
spelling | doaj.art-f5434419e31a48f9979e275b89bbf3e92022-12-21T18:56:33ZengThe Company of BiologistsBiology Open2046-63902021-03-0110310.1242/bio.058512058512Integrated analysis of cell shape and movement in moving frameYusri Dwi Heryanto0Chin-Yi Cheng1Yutaka Uchida2Kazushi Mimura3Masaru Ishii4Ryo Yamada5 Unit of Statistical Genetics, Center for Genomic Medicine, Graduate School of Medicine Kyoto University, Kyoto, 606-8507, Japan Unit of Statistical Genetics, Center for Genomic Medicine, Graduate School of Medicine Kyoto University, Kyoto, 606-8507, Japan Department of Immunology and Cell Biology, Graduate School of Medicine and Frontier Biosciences, Osaka University, Osaka, 565-0871, Japan Department of Intelligent Systems, Graduate School of Information Sciences, Hiroshima City University, Hiroshima, 731-3194 Japan Department of Immunology and Cell Biology, Graduate School of Medicine and Frontier Biosciences, Osaka University, Osaka, 565-0871, Japan Unit of Statistical Genetics, Center for Genomic Medicine, Graduate School of Medicine Kyoto University, Kyoto, 606-8507, Japan 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.http://bio.biologists.org/content/10/3/bio058512cell shapecell movementmoving framespherical harmonicsintegrated analysis |
spellingShingle | Yusri Dwi Heryanto Chin-Yi Cheng Yutaka Uchida Kazushi Mimura Masaru Ishii Ryo Yamada Integrated analysis of cell shape and movement in moving frame Biology Open cell shape cell movement moving frame spherical harmonics integrated analysis |
title | Integrated analysis of cell shape and movement in moving frame |
title_full | Integrated analysis of cell shape and movement in moving frame |
title_fullStr | Integrated analysis of cell shape and movement in moving frame |
title_full_unstemmed | Integrated analysis of cell shape and movement in moving frame |
title_short | Integrated analysis of cell shape and movement in moving frame |
title_sort | integrated analysis of cell shape and movement in moving frame |
topic | cell shape cell movement moving frame spherical harmonics integrated analysis |
url | http://bio.biologists.org/content/10/3/bio058512 |
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