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Concerted motion of protons in hydrogen bonds of DNA-type molecules

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Abstract

We study the dynamical behavior of proton transfer in hydrogen bonds in the base pairs of double helices of the DNA type. Under the assumption that the elastic and tunnelling degrees of freedom may be coupled, we derive a nonlinear and nonlocal Schrödinger equation (NLNLS) that describes the concerted motion of the proton tunnelling. Rough estimates of the solutions to the NLNLS show an intimate interplay between the concerted tunnelling of protons and the symmetry of the double helix.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, Vorob’evy gory, Moscow, 119899, Russia

    V. L. Golo

  2. Laue-Langevin Institute, F-38042, Grenoble, France

    E. I. Kats

  3. Lab. Phys. ENS Lyon, 69364, Lyon, Cedex 07, France

    V. L. Golo & M. Peyrard

  4. Landau Institute for Theoretical Physics, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117940, Russia

    E. I. Kats

Authors
  1. V. L. Golo
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  2. E. I. Kats
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  3. M. Peyrard
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 4, 2001, pp. 225–229.

Original English Text Copyright © 2001 by Golo, Kats, Peyrard.

This article was submitted by the authors in English.

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Golo, V.L., Kats, E.I. & Peyrard, M. Concerted motion of protons in hydrogen bonds of DNA-type molecules. Jetp Lett. 73, 202–206 (2001). https://doi.org/10.1134/1.1368715

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  • DOI: https://doi.org/10.1134/1.1368715

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