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,...

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Main Authors: Yusri Dwi Heryanto, Chin-Yi Cheng, Yutaka Uchida, Kazushi Mimura, Masaru Ishii, Ryo Yamada
Format: Article
Language:English
Published: The Company of Biologists 2021-03-01
Series:Biology Open
Subjects:
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.
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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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AT yutakauchida integratedanalysisofcellshapeandmovementinmovingframe
AT kazushimimura integratedanalysisofcellshapeandmovementinmovingframe
AT masaruishii integratedanalysisofcellshapeandmovementinmovingframe
AT ryoyamada integratedanalysisofcellshapeandmovementinmovingframe