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Compressing a rigid filament: buckling and cyclization.

N-K Lee1, A Johner, S-C Hong

  • 1Institute of Fundamental Physics, Department of Physics, Sejong University, 143-743, Seoul, South Korea. lee@sejong.ac.kr

The European Physical Journal. E, Soft Matter
|November 10, 2007
PubMed
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This study explores the elastic properties of rigid filaments, focusing on force-length profiles and buckling behavior. Findings are relevant to various biological and synthetic filament systems.

Area of Science:

  • Physics
  • Materials Science
  • Biophysics

Background:

  • Rigid filaments exhibit weak fluctuations around their optimal shape.
  • Low-order expansions (quadratic or quartic) describe deviations from optimal shape.
  • Understanding elastic properties is crucial for self-assembled and synthetic filament systems.

Purpose of the Study:

  • Investigate the elastic properties of rigid filaments.
  • Analyze force-displacement relationships and buckling phenomena.
  • Provide insights relevant to experimental systems like microtubules and carbon nanotubes.

Main Methods:

  • Modeling rigid filaments as stiff chains.
  • Utilizing low-order expansions to describe shape deviations.
  • Analyzing force vs. projected filament length, closure probability, and buckling.

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Main Results:

  • Characterization of force-length profiles for rigid filaments.
  • Quantification of closure probability in filament configurations.
  • Identification of weakly buckled states and their characteristics.

Conclusions:

  • The study provides a theoretical framework for understanding the mechanical behavior of rigid filaments.
  • Results offer valuable predictions for experiments involving biological and synthetic filaments.
  • The models are applicable to diverse systems including microtubules, actin filaments, and carbon nanotubes.