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Long-range interactions and wave patterns in a DNA model

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Abstract.

We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent base pairs. We show that the model equation is a modified sine-Gordon equation. We perform the linear stability analysis of a plane wave, which predicts high-amplitude and extended oscillating waves for high values of the long-range parameter. This is confirmed numerically and biological implications of the obtained patterns are suggested.

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References

  1. S.W. Englander et al., Proc. Natl. Acad. Sci. U.S.A. 77, 7222 (1980)

    Article  ADS  Google Scholar 

  2. S. Yomosa, Phys. Rev. A 27, 2120 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  3. S. Yomosa, Phys. Rev. A 30, 474 (1984)

    Article  ADS  Google Scholar 

  4. S. Takeno, S. Homma, Prog. Theor. Phys. 70, 308 (1983)

    Article  ADS  Google Scholar 

  5. S. Homma, S. Takeno, Prog. Theor. Phys. 72, 679 (1984)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. M. Daniel, V. Vasumathi, Phys. Rev. E 79, 012901 (2009)

    Article  ADS  Google Scholar 

  7. C.B. Tabi, A. Mohamadou, T.C. Kofane, Chaos 19, 043101 (2009)

    Article  ADS  Google Scholar 

  8. G.A. Baker jr., Phys. Rev. 122, 1477 (1961)

    Article  MathSciNet  ADS  Google Scholar 

  9. M. Kac, E. Helfand, J. Math. Phys. 4, 1078 (1963)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. C. Calladine, Understanding DNA, 3rd edition (Academic Press, London, 2004)

  11. N.N. Shafranovskaya et al., Pis'ma. Zh. Eksp. Teor. Fiz. 15, 404 (1972)

    Google Scholar 

  12. D.C. Rau, V.A. Parsegian, Biophys. J. 61, 246 (1992)

    Article  Google Scholar 

  13. A.K. Mazur, Phys. Rev. E 80, 010901(R) (2009)

    Article  ADS  Google Scholar 

  14. J. Leon, M. Manna, J. Phys. A: Math. Gen. 32, 2845 (1999)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. J. Leon, M. Manna, Phys. Rev. Lett. 83, 2324 (1999)

    Article  ADS  Google Scholar 

  16. C.B. Tabi, A. Mohamadou, T.C. Kofane, Eur. Phys. J. D 50, 307 (2008)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon

    C. B. Tabi

  2. The African Institute for Mathematical Sciences, 6-8 Melrose Rd, 7945, Muizenberg, South Africa

    C. B. Tabi

  3. Condensed Matter Laboratory, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Cameroon

    A. Mohamadou

  4. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon

    A. Mohamadou & T. C. Kofané

Authors
  1. C. B. Tabi
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  2. A. Mohamadou
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  3. T. C. Kofané
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Correspondence to C. B. Tabi.

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Tabi, C.B., Mohamadou, A. & Kofané, T.C. Long-range interactions and wave patterns in a DNA model. Eur. Phys. J. E 32, 327–332 (2010). https://doi.org/10.1140/epje/i2010-10627-x

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  • DOI: https://doi.org/10.1140/epje/i2010-10627-x

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