Optimal feeding and swimming gaits of biflagellated organisms

Locomotion is widely observed in life at micrometric scales and is exhibited by many eukaryotic unicellular organisms. Motility of such organisms can be achieved through periodic deformations of a tail-like projection called the eukaryotic flagellum. Although the mechanism allowing the flagellum to...

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Main Authors: Tam, Daniel See Wai, Hosoi, Anette E
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: National Academy of Sciences (U.S.) 2018
Online Access:http://hdl.handle.net/1721.1/116447
https://orcid.org/0000-0003-4940-7496
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author Tam, Daniel See Wai
Hosoi, Anette E
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Tam, Daniel See Wai
Hosoi, Anette E
author_sort Tam, Daniel See Wai
collection MIT
description Locomotion is widely observed in life at micrometric scales and is exhibited by many eukaryotic unicellular organisms. Motility of such organisms can be achieved through periodic deformations of a tail-like projection called the eukaryotic flagellum. Although the mechanism allowing the flagellum to deform is largely understood, questions related to the functional significance of the observed beating patterns remain unresolved. Here, we focus our attention on the stroke patterns of biflagellated phytoplanktons resembling the green alga Chlamydomonas. Such organisms have been widely observed to beat their flagella in two different ways - a breast-stroke and an undulatory stroke-both of which are prototypical of general beating patterns observed in eukaryotes. We develop a general optimization procedure to determine the existence of optimal swimming gaits and investigate their functional significance with respect to locomotion and nutrient uptake. Both the undulatory and the breaststroke represent local optima for efficient swimming. With respect to the generation of feeding currents, we found the breaststroke to be optimal and to enhance nutrient uptake significantly, particularly when the organism is immersed in a gradient of nutrients. Keywords: optimization; stroke kinematics; low Reynolds number; efficiency
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spelling mit-1721.1/1164472022-10-01T21:58:29Z Optimal feeding and swimming gaits of biflagellated organisms Tam, Daniel See Wai Hosoi, Anette E Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Mechanical Engineering Tam, Daniel See Wai Hosoi, Anette E Locomotion is widely observed in life at micrometric scales and is exhibited by many eukaryotic unicellular organisms. Motility of such organisms can be achieved through periodic deformations of a tail-like projection called the eukaryotic flagellum. Although the mechanism allowing the flagellum to deform is largely understood, questions related to the functional significance of the observed beating patterns remain unresolved. Here, we focus our attention on the stroke patterns of biflagellated phytoplanktons resembling the green alga Chlamydomonas. Such organisms have been widely observed to beat their flagella in two different ways - a breast-stroke and an undulatory stroke-both of which are prototypical of general beating patterns observed in eukaryotes. We develop a general optimization procedure to determine the existence of optimal swimming gaits and investigate their functional significance with respect to locomotion and nutrient uptake. Both the undulatory and the breaststroke represent local optima for efficient swimming. With respect to the generation of feeding currents, we found the breaststroke to be optimal and to enhance nutrient uptake significantly, particularly when the organism is immersed in a gradient of nutrients. Keywords: optimization; stroke kinematics; low Reynolds number; efficiency National Science Foundation (U.S.) (Grant CCF-0323672) National Science Foundation (U.S.) (Grant CTS-0624830) 2018-06-20T13:55:42Z 2018-06-20T13:55:42Z 2011-01 2010-07 2018-06-18T18:45:48Z Article http://purl.org/eprint/type/JournalArticle 0027-8424 1091-6490 http://hdl.handle.net/1721.1/116447 Tam, D., and A. E. Hosoi. “Optimal Feeding and Swimming Gaits of Biflagellated Organisms.” Proceedings of the National Academy of Sciences 108, 3 (January 2011): 1001–1006 © 2011 The Authors https://orcid.org/0000-0003-4940-7496 http://dx.doi.org/10.1073/pnas.1011185108 Proceedings of the National Academy of Sciences Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf National Academy of Sciences (U.S.) PNAS
spellingShingle Tam, Daniel See Wai
Hosoi, Anette E
Optimal feeding and swimming gaits of biflagellated organisms
title Optimal feeding and swimming gaits of biflagellated organisms
title_full Optimal feeding and swimming gaits of biflagellated organisms
title_fullStr Optimal feeding and swimming gaits of biflagellated organisms
title_full_unstemmed Optimal feeding and swimming gaits of biflagellated organisms
title_short Optimal feeding and swimming gaits of biflagellated organisms
title_sort optimal feeding and swimming gaits of biflagellated organisms
url http://hdl.handle.net/1721.1/116447
https://orcid.org/0000-0003-4940-7496
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