Twirling and whirling: viscous dynamics of rotating elastic filaments.

Motivated by diverse phenomena in cellular biophysics, including bacterial flagellar motion and DNA transcription and replication, we study the overdamped nonlinear dynamics of a rotationally forced filament with twist and bend elasticity. Competition between twist injection, twist diffusion, and writhing instabilities is described by coupled PDEs for twist and bend evolution. Analytical and numerical methods elucidate the twist/bend coupling and reveal two regimes separated by a Hopf bifurcation: (i) diffusion-dominated axial rotation, or twirling, and (ii) steady-state crankshafting motion, or whirling. The consequences of these phenomena for self-propulsion are investigated, and experimental tests proposed.

• Publication year

  1999

• Venue

  Physical Review Letters

• Publication date

  1999-12-20

• Fields of study

  Biology, Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.84.1623arXiv cond-mat/9912360PMID 11017583
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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