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Distribution functions for filaments under tension.

David A Kessler1, Yitzhak Rabin

  • 1Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.

The Journal of Chemical Physics
|July 21, 2004
PubMed
Summary
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We developed a biased Monte Carlo simulation to study fluctuating filaments under force. Our method reveals non-Gaussian distributions for nearly rigid filaments due to orientational fluctuations and wall effects.

Area of Science:

  • Physics
  • Polymer Physics
  • Computational Physics

Background:

  • Fluctuating filaments are ubiquitous in biological systems and materials science.
  • Understanding their mechanical properties under external forces is crucial.
  • Existing models often face limitations with varying filament rigidity and external constraints.

Purpose of the Study:

  • To develop a versatile simulation technique for analyzing fluctuating filaments under external forces.
  • To investigate the impact of filament rigidity, external forces, and steric constraints on distribution functions.
  • To validate simulation results against analytical models.

Main Methods:

  • A biased Monte Carlo simulation technique was developed.
  • The method explicitly accounts for length-scale dependence of effective elastic moduli.

Related Experiment Videos

  • It is applicable to arbitrary persistence length to contour length ratios, forces, and steric constraints (e.g., walls).

    • Main Results:

    • The simulation accurately measures distribution functions for filament extension and end-to-end distance.
    • Non-Gaussian distributions were observed for nearly rigid filaments in the small to intermediate force regime.
    • These deviations are attributed to orientational fluctuations and wall effects.

    Conclusions:

    • The developed biased Monte Carlo method provides a robust tool for studying filament mechanics.
    • Orientational fluctuations and confinement significantly alter filament behavior, leading to non-Gaussian distributions.
    • Simulation results align with analytical predictions for force-extension curves in various stiffness regimes.