ArticleNature communications2023
The reaction-diffusion basis of animated patterns in eukaryotic flagella.
Article in Nature communications, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed.
- Embodied behavioural complexity in a ciliated microorganism.Nature communications · 2026Article
- Nonreciprocal buckling makes active filaments polyfunctional.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- The Emergence of Turing Instability and Pattern Formation in a Nonlinear Stochastic Spatiotemporal Epidemic Model with Reinfections.Acta biotheoretica · 2026Article
- The wavelength of the ciliary beat in Chlamydomonas saturates at long ciliary lengths.Biophysical journal · 2025Article
- Form and function in biological filaments: a physicist's review.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2025Review
- Modelling motility of Trypanosoma brucei.PLoS computational biology · 2025Article
- Swimming by Spinning: Spinning-Top Type Rotations Regularize Sperm Swimming Into Persistently Progressive Paths in 3D.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- The ancient and helical architecture of Elasmobranchii's spermatozoa enables progressive motility in viscous environments.PloS one · 2025Article
- Robust undulatory locomotion through neuromechanical adjustments in a dissipative medium.Journal of the Royal Society, Interface · 2025Article
- Active fluctuations of axoneme oscillations scale with number of dynein motors.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- The reaction-diffusion basis of animated patterns in eukaryotic flagella.Nature communications · 2023Article
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2 authors.
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No grant is acknowledged in the PubMed record.
Abstract
The flagellar beat of bull spermatozoa and C. Reinhardtii are modelled by a minimal, geometrically exact, reaction-diffusion system. Spatio-temporal animated patterns describe flagellar waves, analogous to chemical-patterns from classical reaction-diffusion systems, with sliding-controlled molecular motor reaction-kinetics. The reaction-diffusion system is derived from first principles as a consequence of the high-internal dissipation by the flagellum relative to the external hydrodynamic dissipation. Quantitative comparison with nonlinear, large-amplitude simulations shows that animated reaction-diffusion patterns account for the experimental beating of both bull sperm and C. Reinhardtii. Our results suggest that a unified mechanism may exist for motors controlled by sliding, without requiring curvature-sensing, and uninfluenced by hydrodynamics. High-internal dissipation instigates autonomous travelling waves independently of the external fluid, enabling progressive swimming, otherwise not possible, in low viscosity environments, potentially critical for external fertilizers and aquatic microorganisms. The reaction-diffusion system may prove a powerful tool for studying pattern formation of movement on animated structures.
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