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DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
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Published on: October 25, 2017

Semiflexible chains in confined spaces.

Greg Morrison1, D Thirumalai

  • 1Biophysics Program, Institute For Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

We developed a new theory to study wormlike chains in confined spaces like spheres. This method accurately predicts chain behavior and properties under tension and encapsulation, crucial for understanding DNA packaging.

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Area of Science:

  • Polymer Physics
  • Statistical Mechanics
  • Biophysics

Background:

  • Studying polymer behavior in confined geometries is essential for understanding biological systems like DNA packaging.
  • Existing methods struggle to accurately model wormlike chains (WLCs) under confinement.
  • Single-molecule experiments often involve polymers under tension within constrained environments.

Purpose of the Study:

  • To develop a tractable analytical method for studying noninteracting wormlike chains (WLCs) in confined geometries.
  • To model WLCs on spherical surfaces and within spherical confinement.
  • To investigate the effects of external tension on surface-confined WLCs and encapsulated WLCs.

Main Methods:

  • Developed a mean-field-like theory that approximates rigid confinement with average constraints.
  • Applied the theory to WLCs on a sphere's surface and fully encapsulated within a sphere.
  • Validated the theory by comparing its predictions with exact correlation functions and Langevin simulations.

Main Results:

  • The theory accurately reproduces exact correlation functions for WLCs on a sphere and calculates free energy coefficients.
  • Surface-confined WLCs under tension exhibit spatial oscillations in force-extension curves, with extension scaling as f(-1) at high forces.
  • The theory shows excellent agreement with simulations for encapsulated WLCs, revealing structured chain conformations and predicting system pressure.

Conclusions:

  • The developed mean-field theory provides an effective and tractable approach for analyzing WLCs in confined geometries.
  • The model accurately describes WLC behavior relevant to histone-DNA complexes and viral DNA encapsulation.
  • Confined chains exhibit distinct structural properties and mechanical responses compared to unconfined chains.