Phase-dependent forcing and synchronization in the three-sphere model of Chlamydomonas

The green alga 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 Chlamydomonas with a phase-dependent driving force that can produce run-and-tumble behaviour when intrinsic noise is added, due to the nonlinear 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. The phase-dependent forcing allows this simple model of Chlamydomonas to produce a rich variety of behaviours.

• Publication year

  2013

• Venue

  New Journal of Physics

• Publication date

  2013-04-10

• Fields of study

  Biology, Physics

• Identifiers
  DOI 10.1088/1367-2630/15/7/075028arXiv 1304.2956
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Soft Matter

  2014cited by this paper
• Hydrodynamic synchronization between objects with cyclic rigid trajectories

  2012cited by this paper
• Hydrodynamic synchronization of light driven microrotors.

  2012cited by this paper
• Driving potential and noise level determine the synchronization state of hydrodynamically coupled oscillators.

  2012cited by this paper
• Collective synchronization states in arrays of driven colloidal oscillators

  2012cited by this paper
• Cell membrane-inspired phospholipid polymers for developing medical devices with excellent biointerfaces

  2012cited by this paper
• Emergent run-and-tumble behavior in a simple model of Chlamydomonas with intrinsic noise.

  2012cited by this paper
• Flagellar synchronization independent of hydrodynamic interactions.

  2012cited by this paper
• A three-sphere swimmer for flagellar synchronization

  2012cited by this paper
• Finding the ciliary beating pattern with optimal efficiency

  2011cited by this paper
• Hydrodynamic synchronization at low Reynolds number

  2011cited by this paper
• Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport

  2011cited by this paper
• Metachronal waves in a chain of rowers with hydrodynamic interactions

  2010cited by this paper
• Generic conditions for hydrodynamic synchronization.

  2010cited by this paper
• Hydrodynamic synchronization of colloidal oscillators

  2010cited by this paper
• Synchronization in a carpet of hydrodynamically coupled rotors with random intrinsic frequency

  2010cited by this paper
• Synchronization and collective dynamics in a carpet of microfluidic rotors.

  2009cited by this paper
• Hydrodynamic phase locking of swimming microorganisms.

  2009cited by this paper
• Chlamydomonas Swims with Two “Gears” in a Eukaryotic Version of Run-and-Tumble Locomotion

  2009cited by this paper
• Noise and synchronization in pairs of beating eukaryotic flagella.

  2009cited by this paper
• Minimal model for synchronization induced by hydrodynamic interactions.

  2009cited by this paper
• Controlled swimming in confined fluids of magnetically actuated colloidal rotors.

  2008cited by this paper
• Synchronization, phase locking, and metachronal wave formation in ciliary chains.

  2008cited by this paper
• A basic swimmer at low Reynolds number

  2008cited by this paper
• Life at Low Reynolds Number

  2008cited by this paper
• The hydrodynamics of swimming microorganisms

  2008cited by this paper
• Spontaneous creation of macroscopic flow and metachronal waves in an array of cilia.

  2006cited by this paper
• Pumping fluids with periodically beating grafted elastic filaments.

  2006cited by this paper
• Collective effects in ciliar arrays

  2006cited by this paper
• De Novo Formation of Left–Right Asymmetry by Posterior Tilt of Nodal Cilia

  2005cited by this paper
• Purcell’s “rotator”: mechanical rotation at low Reynolds number

  2005cited by this paper
• Hydrodynamic flow patterns and synchronization of beating cilia.

  2005cited by this paper
• Pushmepullyou: an efficient micro-swimmer

  2005cited by this paper
• Microscopic artificial swimmers

  2005cited by this paper
• IL-13受体α2降低血吸虫病肉芽肿的炎症反应并延长宿主存活时间[英]/Mentink-Kane MM,Cheever AW，Thompson RW，et al//Proc Natl Acad Sci U S A

  2005influential reference
• Hydrodynamic interactions between rotating helices.

  2004cited by this paper
• Simple swimmer at low Reynolds number: three linked spheres.

  2004cited by this paper
• Synchronization of rotating helices by hydrodynamic interactions

  2004cited by this paper
• On self-propulsion of micro-machines at low Reynolds number: Purcell's three-link swimmer

  2003cited by this paper
• E. coli in Motion

  2003cited by this paper
• Metachronal waves for deterministic switching two-state oscillators with hydrodynamic interaction.

  2003cited by this paper
• A macroscopic scale model of bacterial flagellar bundling

  2003cited by this paper
• Multifaceted physiological response allows yeast to adapt to the loss of the signal recognition particle-dependent protein-targeting pathway.

  2001influential reference
• Rowers coupled hydrodynamically. Modeling possible mechanisms for the cooperation of cilia

  2001cited by this paper
• Energetic considerations of ciliary beating and the advantage of metachronal coordination.

  1999cited by this paper
• Flagellar coordination in Chlamydomonas cells held on micropipettes.

  1998cited by this paper
• Self-propulsion at low Reynolds number.

  1987cited by this paper
• High‐speed cinematographic analysis of the movement of Chlamydomonas

  1985cited by this paper
• Mechanics of swimming and flying: Frontmatter

  1977cited by this paper
• MECHANICS OF CILIARY LOCOMOTION

  1974cited by this paper
• FLAGELLAR MOTION AND FINE STRUCTURE OF THE FLAGELLAR APPARATUS IN CHLAMYDOMONAS

  1967cited by this paper
• Low Reynolds number hydrodynamics

  1965cited by this paper
• On the squirming motion of nearly spherical deformable bodies through liquids at very small reynolds numbers

  1952cited by this paper
• Analysis of the swimming of microscopic organisms

  1951cited by this paper
• Ciliary Movement

  1929influential reference
• Neuere Methoden und Ergebnisse in der Hydrodynamik

  1928cited by this paper

• Reinforcement learning of a biflagellate model microswimmer

  2025influential citation
• Near-field hydrodynamic interactions determine travelling wave directions of collectively beating cilia

  2024cites this paper
• Thermal fluctuations for a three-beads swimmer

  2024cites this paper
• Elastohydrodynamic Synchronization of Rotating Bacterial Flagella.

  2022cites this paper
• Active XY model on a substrate: Density fluctuations and phase ordering.

  2021cites this paper
• Mobility-induced order in active XY spins on a substrate.

  2021cites this paper
• Can mobility induce orders in active XY spins on a substrate?

  2021cites this paper
• Energetics of synchronization for model flagella and cilia.

  2021cites this paper
• Hydrodynamic Synchronisation

  2020cites this paper
• Diffusion and Noisy Swimming

  2020cites this paper
• References

  2020cites this paper
• Locomotion and Transport in Complex Fluids

  2020cites this paper
• Preface

  2020cites this paper
• Hydrodynamics of Collective Locomotion

  2020cites this paper
• Rotation of Bacterial Flagellar Filaments

  2020cites this paper
• Flagella and the Physics of Viscous Propulsion

  2020cites this paper
• Flows and Stresses Induced by Cells

  2020cites this paper
• Cellular Locomotion

  2020cites this paper
• Waving of Eukaryotic Flagella

  2020cites this paper
• Hydrodynamics of Slender Filaments

  2020cites this paper
• Index

  2020cites this paper
• The Fluid Dynamics of Microscopic Locomotion

  2020cites this paper
• The Waving Sheet Model

  2020cites this paper
• Biological Background

  2020cites this paper
• Control of Helical Navigation by Three-Dimensional Flagellar Beating

  2020cites this paper
• The Fluid Dynamics of Cell Motility

  2020cites this paper
• Swimming Cells in Flows

  2020cites this paper
• The Squirmer Model

  2020cites this paper
• Self-Propulsion and Surfaces

  2020cites this paper
• Hydrodynamic Synchronization of Spontaneously Beating Filaments.

  2019cites this paper
• Interactions

  2019cites this paper
• Control of synchronization in models of hydrodynamically coupled motile cilia

  2018cites this paper
• Synchronization and Collective Dynamics of Flagella and Cilia as Hydrodynamically Coupled Oscillators

  2017cites this paper
• Hydrodynamics of micro-swimmers in complex fluids and environments

  2016cites this paper
• Energetics of synchronization in coupled oscillators rotating on circular trajectories.

  2016cites this paper
• Species-dependent hydrodynamics of flagellum-tethered bacteria in early biofilm development

  2016cites this paper
• Physics of microorganism behaviour: motility, synchronisation, run-and-tumble, phototaxis.

  2015cites this paper
• Focus on soft mesoscopics: physics for biology at a mesoscopic scale

  2015cites this paper
• Ciliary metachronal wave propagation on the compliant surface of Paramecium cells

  2015cites this paper
• Realizing the physics of motile cilia synchronization with driven colloids

  2015cites this paper
• A steering mechanism for phototaxis in Chlamydomonas

  2014cites this paper
• Physics of microswimmers—single particle motion and collective behavior: a review

  2014influential citation
• Effects of thermal fluctuations and fluid compressibility on hydrodynamic synchronization of microrotors at finite oscillatory Reynolds number: a multiparticle collision dynamics simulation study.

  2014cites this paper
• FUNDAMENTALS

  2001cites this paper