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...

Full description

Bibliographic Details
Main Authors: Bennett, R, Golestanian, R
Format: Journal article
Published: 2013
_version_ 1797092496141975552
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