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The 3-dimensional random walk with applications to overstretched DNA and the protein titin

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  • Van der Straeten, Erik
  • Naudts, Jan

Abstract

We study the three-dimensional persistent random walk with drift. Then we develop a thermodynamic model that is based on this random walk without assuming the Boltzmann–Gibbs form for the equilibrium distribution. The simplicity of the model allows us to perform all calculations in closed form. We show that, despite its simplicity, the model can be used to describe different polymer stretching experiments. We study the reversible overstretching transition of DNA and the static force-extension relation of the protein titin.

Suggested Citation

  • Van der Straeten, Erik & Naudts, Jan, 2008. "The 3-dimensional random walk with applications to overstretched DNA and the protein titin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6790-6800.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:27:p:6790-6800
    DOI: 10.1016/j.physa.2008.09.014
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    References listed on IDEAS

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    1. L. Tskhovrebova & J. Trinick & J. A. Sleep & R. M. Simmons, 1997. "Elasticity and unfolding of single molecules of the giant muscle protein titin," Nature, Nature, vol. 387(6630), pages 308-312, May.
    2. Weiss, George H, 2002. "Some applications of persistent random walks and the telegrapher's equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(3), pages 381-410.
    3. García-Pelayo, Ricardo, 2007. "Solution of the persistent, biased random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 143-149.
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