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Bistable helices.

R E Goldstein1, A Goriely, G Huber

  • 1Department of Physics, University of Arizona, Tucson, Arizona 85721, USA.

Physical Review Letters
|October 4, 2000
PubMed
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We developed a new theory for filaments with competing helical structures, like bacterial flagella. This model explains how these structures interact and move, offering insights into cellular biology and front propagation.

Area of Science:

  • Physics
  • Biophysics
  • Mechanics of Materials

Background:

  • Filamentous structures, such as bacterial flagella, are crucial in cellular biology.
  • Understanding the mechanics of these structures is essential for explaining motility and biological processes.
  • Existing elasticity theories may not fully capture the complexities of systems with opposing chiral helices.

Purpose of the Study:

  • To extend the theory of filament elasticity to include systems with competing helical structures of opposite chirality.
  • To develop a general, intrinsic formulation for the dynamics of bend and twist in such systems.
  • To analyze phenomena like front propagation observed in biological filaments.

Main Methods:

  • Developed a fully intrinsic formulation of filament dynamics using the natural frame of space curves.

Related Experiment Videos

  • Incorporated degrees of freedom for bend and twist.
  • Considered a range of physical regimes, from inviscid to viscously overdamped.

    • Main Results:

    • Presented a generalized framework for analyzing the mechanics of filaments with opposing chiral helices.
    • The formulation is applicable across different dynamic regimes, including those relevant to cellular biology.
    • The model provides a basis for discussing front propagation dynamics.

    Conclusions:

    • The extended elasticity theory successfully models complex helical systems like bacterial flagella.
    • The intrinsic formulation offers a versatile tool for studying filament dynamics in various physical and biological contexts.
    • This work enhances our understanding of motility mechanisms and pattern formation in biological systems.