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Shape Mode Analysis Exposes Movement Patterns in Biology: Flagella and Flatworms as Case Studies

We illustrate shape mode analysis as a simple, yet powerful technique to concisely describe complex biological shapes and their dynamics. We characterize undulatory bending waves of beating flagella and reconstruct a limit cycle of flagellar oscillations, paying particular attention to the periodici...

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Detalles Bibliográficos
Autores principales: Werner, Steffen, Rink, Jochen C., Riedel-Kruse, Ingmar H., Friedrich, Benjamin M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4245084/
https://www.ncbi.nlm.nih.gov/pubmed/25426857
http://dx.doi.org/10.1371/journal.pone.0113083
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author Werner, Steffen
Rink, Jochen C.
Riedel-Kruse, Ingmar H.
Friedrich, Benjamin M.
author_facet Werner, Steffen
Rink, Jochen C.
Riedel-Kruse, Ingmar H.
Friedrich, Benjamin M.
author_sort Werner, Steffen
collection PubMed
description We illustrate shape mode analysis as a simple, yet powerful technique to concisely describe complex biological shapes and their dynamics. We characterize undulatory bending waves of beating flagella and reconstruct a limit cycle of flagellar oscillations, paying particular attention to the periodicity of angular data. As a second example, we analyze non-convex boundary outlines of gliding flatworms, which allows us to expose stereotypic body postures that can be related to two different locomotion mechanisms. Further, shape mode analysis based on principal component analysis allows to discriminate different flatworm species, despite large motion-associated shape variability. Thus, complex shape dynamics is characterized by a small number of shape scores that change in time. We present this method using descriptive examples, explaining abstract mathematics in a graphic way.
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spelling pubmed-42450842014-12-05 Shape Mode Analysis Exposes Movement Patterns in Biology: Flagella and Flatworms as Case Studies Werner, Steffen Rink, Jochen C. Riedel-Kruse, Ingmar H. Friedrich, Benjamin M. PLoS One Research Article We illustrate shape mode analysis as a simple, yet powerful technique to concisely describe complex biological shapes and their dynamics. We characterize undulatory bending waves of beating flagella and reconstruct a limit cycle of flagellar oscillations, paying particular attention to the periodicity of angular data. As a second example, we analyze non-convex boundary outlines of gliding flatworms, which allows us to expose stereotypic body postures that can be related to two different locomotion mechanisms. Further, shape mode analysis based on principal component analysis allows to discriminate different flatworm species, despite large motion-associated shape variability. Thus, complex shape dynamics is characterized by a small number of shape scores that change in time. We present this method using descriptive examples, explaining abstract mathematics in a graphic way. Public Library of Science 2014-11-26 /pmc/articles/PMC4245084/ /pubmed/25426857 http://dx.doi.org/10.1371/journal.pone.0113083 Text en © 2014 Werner et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Werner, Steffen
Rink, Jochen C.
Riedel-Kruse, Ingmar H.
Friedrich, Benjamin M.
Shape Mode Analysis Exposes Movement Patterns in Biology: Flagella and Flatworms as Case Studies
title Shape Mode Analysis Exposes Movement Patterns in Biology: Flagella and Flatworms as Case Studies
title_full Shape Mode Analysis Exposes Movement Patterns in Biology: Flagella and Flatworms as Case Studies
title_fullStr Shape Mode Analysis Exposes Movement Patterns in Biology: Flagella and Flatworms as Case Studies
title_full_unstemmed Shape Mode Analysis Exposes Movement Patterns in Biology: Flagella and Flatworms as Case Studies
title_short Shape Mode Analysis Exposes Movement Patterns in Biology: Flagella and Flatworms as Case Studies
title_sort shape mode analysis exposes movement patterns in biology: flagella and flatworms as case studies
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4245084/
https://www.ncbi.nlm.nih.gov/pubmed/25426857
http://dx.doi.org/10.1371/journal.pone.0113083
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