Phase Dependent Forcing and Synchronization in the three-sphere model of Chlamydomonas
The green alga {\it Chlamydomonas} swims with synchronized beating of its two flagella, and is experimentally observed to exhibit run-and-tumble behaviour similar to bacteria. Recently we studied a simple hydrodynamic three-sphere model of {\it Chlamydomonas} with a phase dependent driving force whi...
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Format: | Journal article |
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2013
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author | Bennett, R Golestanian, R |
author_facet | Bennett, R Golestanian, R |
author_sort | Bennett, R |
collection | OXFORD |
description | The green alga {\it Chlamydomonas} swims with synchronized beating of its two flagella, and is experimentally observed to exhibit run-and-tumble behaviour similar to bacteria. Recently we studied a simple hydrodynamic three-sphere model of {\it Chlamydomonas} with a phase dependent driving force which can produce run-and-tumble behaviour when intrinsic noise is added, due to the non-linear mechanics of the system. Here, we consider the noiseless case and explore numerically the parameter space in the driving force profiles, which determine whether or not the synchronized state evolves from a given initial condition, as well as the stability of the synchronized state. We find that phase dependent forcing, or a beat pattern, is necessary for stable synchronization in the geometry we work with. |
first_indexed | 2024-03-07T03:46:43Z |
format | Journal article |
id | oxford-uuid:bfbaccdb-cd9a-4f07-a5c4-b52dd59e5e0c |
institution | University of Oxford |
last_indexed | 2024-03-07T03:46:43Z |
publishDate | 2013 |
record_format | dspace |
spelling | oxford-uuid:bfbaccdb-cd9a-4f07-a5c4-b52dd59e5e0c2022-03-27T05:49:39ZPhase Dependent Forcing and Synchronization in the three-sphere model of ChlamydomonasJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bfbaccdb-cd9a-4f07-a5c4-b52dd59e5e0cSymplectic Elements at Oxford2013Bennett, RGolestanian, RThe green alga {\it Chlamydomonas} swims with synchronized beating of its two flagella, and is experimentally observed to exhibit run-and-tumble behaviour similar to bacteria. Recently we studied a simple hydrodynamic three-sphere model of {\it Chlamydomonas} with a phase dependent driving force which can produce run-and-tumble behaviour when intrinsic noise is added, due to the non-linear mechanics of the system. Here, we consider the noiseless case and explore numerically the parameter space in the driving force profiles, which determine whether or not the synchronized state evolves from a given initial condition, as well as the stability of the synchronized state. We find that phase dependent forcing, or a beat pattern, is necessary for stable synchronization in the geometry we work with. |
spellingShingle | Bennett, R Golestanian, R Phase Dependent Forcing and Synchronization in the three-sphere model of Chlamydomonas |
title | Phase Dependent Forcing and Synchronization in the three-sphere model of
Chlamydomonas |
title_full | Phase Dependent Forcing and Synchronization in the three-sphere model of
Chlamydomonas |
title_fullStr | Phase Dependent Forcing and Synchronization in the three-sphere model of
Chlamydomonas |
title_full_unstemmed | Phase Dependent Forcing and Synchronization in the three-sphere model of
Chlamydomonas |
title_short | Phase Dependent Forcing and Synchronization in the three-sphere model of
Chlamydomonas |
title_sort | phase dependent forcing and synchronization in the three sphere model of chlamydomonas |
work_keys_str_mv | AT bennettr phasedependentforcingandsynchronizationinthethreespheremodelofchlamydomonas AT golestanianr phasedependentforcingandsynchronizationinthethreespheremodelofchlamydomonas |