In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling
We present a theory of flagellar synchronization in the green alga Chlamydomonas , using full treatment of flagellar hydrodynamics and measured beat patterns. We find that two recently proposed synchronization mechanisms, flagellar waveform compliance and basal coupling, stabilize anti-phase synchro...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa9031 |
| _version_ | 1797750579696500736 |
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| author | Gary S Klindt Christian Ruloff Christian Wagner Benjamin M Friedrich |
| author_facet | Gary S Klindt Christian Ruloff Christian Wagner Benjamin M Friedrich |
| author_sort | Gary S Klindt |
| collection | DOAJ |
| description | We present a theory of flagellar synchronization in the green alga Chlamydomonas , using full treatment of flagellar hydrodynamics and measured beat patterns. We find that two recently proposed synchronization mechanisms, flagellar waveform compliance and basal coupling, stabilize anti-phase synchronization (AP) if operative in isolation. Their nonlinear superposition, however, can stabilize in-phase synchronization (IP) for suitable parameter choices, matching experimental observations. Our theory is based on a description of the flagellar beat as a limit-cycle oscillator, which was introduced and calibrated by experimental data in a recent letter (Klindt et al 2016 Phys. Rev. Lett. 117 258101). Using a minimal model of basal coupling, we identify regimes of IP, AP and even out-of-phase synchronization with spontaneous symmetry-breaking in this system of two identical coupled oscillators as a function of an effective strength of basal coupling. From our theory, we quantitatively predict different synchronization dynamics in fluids of increased viscosity or external flow, suggesting a non-invasive way to control synchronization by hydrodynamic coupling. |
| first_indexed | 2024-03-12T16:34:50Z |
| format | Article |
| id | doaj.art-c385a892bb634906ad7c61f9697cd16b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:34:50Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-c385a892bb634906ad7c61f9697cd16b2023-08-08T14:56:45ZengIOP PublishingNew Journal of Physics1367-26302017-01-01191111305210.1088/1367-2630/aa9031In-phase and anti-phase flagellar synchronization by waveform compliance and basal couplingGary S Klindt0Christian Ruloff1Christian Wagner2Benjamin M Friedrich3https://orcid.org/0000-0002-9742-6555Max Planck Institute for the Physics of Complex Systems , D-01187 Dresden, GermanyExperimental Physics, Saarland University , D-66041 Saarbrücken, GermanyExperimental Physics, Saarland University , D-66041 Saarbrücken, Germany; Physics and Materials Science Research Unit, University of Luxembourg , 1511 Luxembourg, Luxembourgcfaed, TU Dresden, D-01062 Dresden, GermanyWe present a theory of flagellar synchronization in the green alga Chlamydomonas , using full treatment of flagellar hydrodynamics and measured beat patterns. We find that two recently proposed synchronization mechanisms, flagellar waveform compliance and basal coupling, stabilize anti-phase synchronization (AP) if operative in isolation. Their nonlinear superposition, however, can stabilize in-phase synchronization (IP) for suitable parameter choices, matching experimental observations. Our theory is based on a description of the flagellar beat as a limit-cycle oscillator, which was introduced and calibrated by experimental data in a recent letter (Klindt et al 2016 Phys. Rev. Lett. 117 258101). Using a minimal model of basal coupling, we identify regimes of IP, AP and even out-of-phase synchronization with spontaneous symmetry-breaking in this system of two identical coupled oscillators as a function of an effective strength of basal coupling. From our theory, we quantitatively predict different synchronization dynamics in fluids of increased viscosity or external flow, suggesting a non-invasive way to control synchronization by hydrodynamic coupling.https://doi.org/10.1088/1367-2630/aa9031ciliumflagellumsynchronizationhydrodynamic interactionlow Reynolds number87.16.Qp |
| spellingShingle | Gary S Klindt Christian Ruloff Christian Wagner Benjamin M Friedrich In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling New Journal of Physics cilium flagellum synchronization hydrodynamic interaction low Reynolds number 87.16.Qp |
| title | In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling |
| title_full | In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling |
| title_fullStr | In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling |
| title_full_unstemmed | In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling |
| title_short | In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling |
| title_sort | in phase and anti phase flagellar synchronization by waveform compliance and basal coupling |
| topic | cilium flagellum synchronization hydrodynamic interaction low Reynolds number 87.16.Qp |
| url | https://doi.org/10.1088/1367-2630/aa9031 |
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