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Discrete instability in the DNA double helix.

Conrad Bertrand Tabi1, Alidou Mohamadou, Timoléon Crépin Kofané

  • 1Department of Physics, Laboratory of Mechanics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon. contab408@hotmail.com

Chaos (Woodbury, N.Y.)
|January 12, 2010
PubMed
Summary

Modulational instability in DNA dynamics is explored using a modified discrete sine-Gordon equation. This reveals pulse generation and energy localization influenced by helicoidal coupling.

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Area of Science:

  • Biophysics
  • Nonlinear Dynamics
  • Computational Biology

Background:

  • DNA dynamics can be modeled using spin models.
  • Modulational instability (MI) is a key phenomenon in nonlinear systems.
  • Helicoidal coupling influences DNA structural behavior.

Purpose of the Study:

  • To investigate modulational instability (MI) within the base-rotor model of DNA dynamics.
  • To analyze the impact of helicoidal coupling on DNA dynamics and MI.
  • To explore energy localization phenomena driven by MI.

Main Methods:

  • Utilizing the base-rotor model for DNA dynamics.
  • Reducing the system to a modified discrete sine-Gordon (sG) equation.
  • Performing numerical simulations to observe pulse generation and energy localization.

Main Results:

  • Helicoidal coupling modifies the MI criterion, introducing unique features.
  • Simulations show train of pulses generated under MI, consistent with analytical results.
  • Competitive effects of longitudinal and helicoidal constants on system dynamics are identified.
  • Modulational instability leads to significant energy localization, especially with higher helicoidal coupling.

Conclusions:

  • The modified discrete sG equation effectively describes DNA dynamics under MI.
  • Helicoidal coupling plays a crucial role in modulating instability and energy localization in DNA.
  • Understanding these dynamics is vital for comprehending DNA mechanical properties and function.