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Synthetic Condensates and Cell-Like Architectures from Amphiphilic DNA Nanostructures
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DNA stretching and multivalent-cation-induced condensation.

Yevgeni Sh Mamasakhlisov1, Brian A Todd, Artem V Badasyan

  • 1Department of Molecular Physics, Yerevan State University, 1 Al Manougian Str, Yerevan 375025, Armenia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
PubMed
Summary
This summary is machine-generated.

We developed a statistical model for polymer compaction under tension, explaining how DNA condenses with multivalent cations. This model predicts a first-order transition for long polymers and a broader transition for shorter or varied chains.

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Area of Science:

  • Statistical mechanics
  • Polymer physics
  • Biophysics

Background:

  • Measurements on stretched double-stranded DNA (dsDNA) in the presence of multivalent cations provide experimental motivation.
  • Semiflexible polymers exhibit complex behavior under tension and in solution.

Purpose of the Study:

  • To develop a statistical mechanical model for the compaction of insoluble semiflexible polymers under tension.
  • To determine the order of the extended-to-compact transition.
  • To interpret the magnitude and tension interval of polymer compaction.

Main Methods:

  • A mean-field approach is employed to model polymer behavior.
  • The model analyzes the transition from an extended to a compact state.
  • Statistical mechanics principles are applied to understand polymer condensation.

Main Results:

  • Compaction is a first-order transition for infinitely long homogeneous polymers, occurring at a specific tension.
  • For finite-length or heterogeneous polymers, the compaction transition occurs over an interval of tension.
  • The model provides interpretations for experimental results in terms of microscopic parameters.

Conclusions:

  • The developed statistical mechanical model accurately describes polymer compaction under tension.
  • The model elucidates the role of polymer length and heterogeneity in the compaction transition.
  • It offers a theoretical framework to link single-molecule experiments to fundamental polymer properties.