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We show that the flagellar beat of bull spermatozoa and Chlamydomonas Reinhardtii can be modelled by a minimal, geometrically nonlinear reaction-diffusion system. Model solutions are spatio-temporally animated patterns describing flagellar…

Biological Physics · Physics 2023-10-09 James F. Cass , Hermes Bloomfield-Gadelha

Active matter comprises individually driven units that convert locally stored energy into mechanical motion. Interactions between driven units lead to a variety of non-equilibrium collective phenomena in active matter. One of such phenomena…

Soft Condensed Matter · Physics 2021-06-15 Mingji Huang , Wensi Hu , Siyuan Yang , Quan-Xing Liu , H. P. Zhang

Swimming eukaryotic microorganisms such as spermatozoa, algae and ciliates self-propel in viscous fluids using travelling wave-like deformations of slender appendages called flagella. Waves are predominant because Purcell's scallop theorem…

Fluid Dynamics · Physics 2020-11-18 Eric Lauga

Using multiparticle collision dynamics simulations, we investigate the swimming dynamics, orientational behavior, and hydrodynamic interactions of a model swimmer designed to mimic the isolated flagellar apparatus ($FA$) of Chlamydomonas…

Biological Physics · Physics 2025-07-01 Sai Venkata Ramana Ambadipudi , Albert Bae , Azam Gholami

The hydrodynamic interactions among bacterial cell bodies, flagella, and surrounding boundaries are essential for understanding bacterial motility in complex environments. In this study, we demonstrate that each slender flagellum can be…

Soft Condensed Matter · Physics 2025-01-07 Baopi Liu , Lu Chen , Ji Zhang

Flagella allow eukaryotic cells to move and pump fluid. We present the first three-dimensional, time-resolved imaging of the flagellar waveform of Chlamydomonas reinhardtii, a model alga found in fresh water. During the power stroke, we…

Biological Physics · Physics 2022-10-18 Laurence G. Wilson , Martin A. Bees

Locomotion and transport of microorganisms in fluids is an essential aspect of life. Search for food, orientation toward light, spreading of off-spring, and the formation of colonies are only possible due to locomotion. Swimming at the…

Biological Physics · Physics 2015-05-26 Jens Elgeti , Roland G. Winkler , Gerhard Gompper

Eukaryotes swim with coordinated flagellar (ciliary) beating and steer by fine-tuning the coordination. The model organism for studying flagellate motility, C. reinhardtii (CR), employs synchronous, breast-stroke-like flagellar beating to…

Biological Physics · Physics 2024-06-12 Da Wei , Greta Quaranta , Marie-Eve Aubin-Tam , Daniel S. W. Tam

Many biological microswimmers can modulate their swimming gait to achieve directional control of motility, especially when performing steering towards specific directional cues. This can be achieved without the need for obvious…

Synchronization of actively oscillating organelles such as cilia and flagella facilitates self-propulsion of cells and pumping fluid in low Reynolds number environments. To understand the key mechanism behind synchronization induced by…

Soft Condensed Matter · Physics 2015-05-20 Nariya Uchida , Ramin Golestanian

When swimming in close proximity, some microorganisms such as spermatozoa synchronize their flagella. Previous work on swimming sheets showed that such synchronization requires a geometrical asymmetry in the flagellar waveforms. Here we…

Fluid Dynamics · Physics 2011-08-31 Gwynn J. Elfring , Eric Lauga

Trajectories and conformations of uni- and multiflagellar bacteria are studied with a coarse-grained model of a cell comprised of elastic flagella connected to a cell body. The elasticities of both the hook protein (connecting cell body and…

Biological Physics · Physics 2018-11-07 Frank T. M. Nguyen , Michael D. Graham

We present a simplified theory for semiflexible flagella under the action of a traveling-wave perturbation that emulates the organized active forces generated by molecular motors, capable of inducing beating patterns to the filament. By…

Soft Condensed Matter · Physics 2025-07-16 Fabio Cecconi , Dario Lucente , Andrea Puglisi , Massimiliano Viale

Motile cilia are a striking example of functional cellular organelle, conserved across all the eukaryotic species. Motile cilia allow swimming of cells and small organisms and transport of liquids across epithelial tissues. Whilst the…

Tissues and Organs · Quantitative Biology 2020-01-13 Pietro Cicuta

Despite evidence for a hydrodynamic origin of flagellar synchronization between different eukaryotic cells, recent experiments have shown that in single multi-flagellated organisms, coordination hinges instead on direct basal body…

Biological Physics · Physics 2018-10-12 Yujie Liu , Rory Claydon , Marco Polin , Douglas R. Brumley

Cellular locomotion often involves the motion of thin, elastic filaments, such as cilia and flagella, in viscous environments. The manuscript serves as a general introduction to the topic of modelling microscale elastohydrodynamics. We…

Soft Condensed Matter · Physics 2024-10-15 Maciej Lisicki

Cilia and flagella exhibit regular bending waves that perform mechanical work on the surrounding fluid, to propel cellular swimmers and pump fluids inside organisms. Here, we quantify a force-velocity relationship of the beating flagellum,…

Cell Behavior · Quantitative Biology 2016-12-21 Gary S. Klindt , Christian Ruloff , Christian Wanger , Benjamin M. Friedrich

E. coli bacteria swim following a run and tumble pattern. In the run state all flagella join in a single helical bundle that propels the cell body along approximately straight paths. When one or more flagellar motors reverse direction the…

Soft Condensed Matter · Physics 2015-07-01 S. Bianchi , F. Saglimbeni , A. Lepore , R. Di Leonardo

Synchronisation is often observed in the swimming of flagellated cells, either for multiple appendages on the same organism or between the flagella of nearby cells. Beating cilia are also seen to synchronise their dynamics. In 1951, Taylor…

Biological Physics · Physics 2021-04-28 Weida Liao , Eric Lauga

Biological systems are robust to perturbations at both the genetic and environmental levels. Yet, these same perturbations can elicit variation in behavior. The interplay between functional robustness and behavioral variability is…

Biological Physics · Physics 2021-06-03 Veikko Geyer , Jonathon Howard , Pablo Sartori