ArticleRoyal Society open science2017
Nonlinear amplitude dynamics in flagellar beating.
Article in Royal Society open science, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
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Who cites it
20 citing papers in PubMed, 57 citations in OpenAlex.
- Quantification of flagellar gait changes with combined shape mode analysis and swimming simulations.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2025Article
- Designing optimal elastic filaments for viscous propulsion.Soft matter · 2025Article
- Swimming by Spinning: Spinning-Top Type Rotations Regularize Sperm Swimming Into Persistently Progressive Paths in 3D.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Magnetic control of soft microrobots near step-out frequency: Characterization and analysis.Computational and structural biotechnology journal · 2024Article
- Human sperm rotate with a conserved direction during free swimming in four dimensions.Journal of cell science · 2023Article
- The reaction-diffusion basis of animated patterns in eukaryotic flagella.Nature communications · 2023Article
- The three-dimensional coarse-graining formulation of interacting elastohydrodynamic filaments and multi-body microhydrodynamics.Journal of the Royal Society, Interface · 2023Article
- Flagella-like beating of actin bundles driven by self-organized myosin waves.Nature physics · 2022Article
- A multiscale biophysical model gives quantized metachronal waves in a lattice of beating cilia.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Internal friction controls active ciliary oscillations near the instability threshold.Science advances · 2020Article
- RETRACTED: Human sperm uses asymmetric and anisotropic flagellar controls to regulate swimming symmetry and cell steering.Science advances · 2020Article
- Cilia oscillations.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2020Article
- Review
- Article
- Coordination of eukaryotic cilia and flagella.Essays in biochemistry · 2018Review
- Hydrodynamic Clustering of Human Sperm in Viscoelastic Fluids.Scientific reports · 2018Article
- Time Irreversibility and Criticality in the Motility of a Flagellate Microorganism.Physical review letters · 2018Article
- The asymptotic coarse-graining formulation of slender-rods, bio-filaments and flagella.Journal of the Royal Society, Interface · 2018Article
- The counterbend dynamics of cross-linked filament bundles and flagella.Journal of the Royal Society, Interface · 2017Article
- Nonlinear amplitude dynamics in flagellar beating.Royal Society open science · 2017Article
Corrections and comments
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The physical basis of flagellar and ciliary beating is a major problem in biology which is still far from completely understood. The fundamental cytoskeleton structure of cilia and flagella is the axoneme, a cylindrical array of microtubule doublets connected by passive cross-linkers and dynein motor proteins. The complex interplay of these elements leads to the generation of self-organized bending waves. Although many mathematical models have been proposed to understand this process, few attempts have been made to assess the role of dyneins on the nonlinear nature of the axoneme. Here, we investigate the nonlinear dynamics of flagella by considering an axonemal sliding control mechanism for dynein activity. This approach unveils the nonlinear selection of the oscillation amplitudes, which are typically either missed or prescribed in mathematical models. The explicit set of nonlinear equations are derived and solved numerically. Our analysis reveals the spatio-temporal dynamics of dynein populations and flagellum shape for different regimes of motor activity, medium viscosity and flagellum elasticity. Unstable modes saturate via the coupling of dynein kinetics and flagellum shape without the need of invoking a nonlinear axonemal response. Hence, our work reveals a novel mechanism for the saturation of unstable modes in axonemal beating.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.