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Statistical physics of DNA hybridization.

Carlos A Plata1,2, Stefano Marni3, Amos Maritan1

  • 1Dipartimento di Fisica "G. Galilei," INFN, Università di Padova, 35131 Padova, Italy.

Physical Review. E
|May 19, 2021
PubMed
Summary

We developed a statistical physics framework to model deoxyribonucleic acid (DNA) hybridization and melting in complex mixtures. This model analytically explains DNA melting curves, unifying self-complementary and non-self-complementary sequence behaviors.

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Area of Science:

  • Statistical Physics
  • Molecular Biology
  • Biophysics

Background:

  • Deoxyribonucleic acid (DNA) hybridization is fundamental to biological processes.
  • Theoretical modeling of DNA melting curves is crucial for extracting thermodynamic parameters.
  • Existing models sometimes require separate treatments for different sequence types.

Purpose of the Study:

  • To propose a unified statistical physics framework for DNA hybridization and melting.
  • To analytically derive partition functions for arbitrary DNA mixtures.
  • To provide a comprehensive understanding of DNA melting phenomena.

Main Methods:

  • Applying statistical physics principles.
  • Deriving closed-form expressions for system partition functions.
  • Analyzing paradigmatic cases: self-complementary and mutually complementary sequences.
  • Calculating the melting curve in the thermodynamic limit (N→∞).

Main Results:

  • Analytical derivation of partition functions for N DNA strands.
  • Explicit calculations for self-complementary and two-strand systems.
  • Unified explanation for entropic contributions in DNA melting.
  • Justification for previously observed discrepancies in modeling.

Conclusions:

  • The proposed framework offers a comprehensive view of DNA hybridization and melting.
  • It successfully unifies the description of different sequence types.
  • Provides a rigorous theoretical basis for understanding DNA thermodynamics.