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Collapse and hybridization of RNA: View from replica technique approach

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Abstract

The replica technique method is applied to investigate the kinetic behavior of the coarse-grained model for the RNA molecule. A non-equilibrium phase transition of second order between the glassy phase and the ensemble of freely fluctuating structures has been observed. The non-equilibrium steady state is investigated as well and the thermodynamic characteristics of the system have been evaluated. The non-equilibrium behavior of the specific heat is discussed. Based on our analysis, we point out the state in the kinetic pathway in which the RNA molecule is most prone to hybridization.

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References

  1. T.G. Drummond, M.G. Gill, Nat. Biotechnol. 21, 1192 (2003).

    Article  Google Scholar 

  2. J.M.S. Bartlett, D. Stirling in PCR Protocols edited by J.M.S. Bartlett, D. Stirling (Humana Press, Totowa, 2003) p. 545.

  3. L. Jin, R.V. Lloyd, J. Clin. Lab. Anal. 11, 2 (1997).

    Article  Google Scholar 

  4. I. Tinoco Jr., C. Bustamante, J. Mol. Biol. 293, 271 (1999).

    Article  Google Scholar 

  5. D.K. Treiber, J.R. Williamson, Curr. Opin. Struct. Biol. 9, 339 (1999).

    Article  Google Scholar 

  6. X. Zhuang, H. Kim, M.J. Pereira, H.P. Babcock, N.G. Walter, S. Chu, Science 296, 1473 (2002).

    Article  ADS  Google Scholar 

  7. S. Wood, A.R. Ferre-DAmare, D. Rueda, ACS Chem. Biol. 7, 920 (2012).

    Article  Google Scholar 

  8. E.I. Shakhnovich, A.M. Gutin, Nature 346, 773 (1990).

    Article  ADS  Google Scholar 

  9. T. Garel, H. Orland, Europhys. Lett. 6, 597 (1988).

    Article  ADS  Google Scholar 

  10. P.G. Wolynes, J.N. Onuchik, D. Thirumalai, Science 267, 1619 (1995).

    Article  ADS  Google Scholar 

  11. E.I. Shakhnovich, A.M. Gutin, Biophys. Chem. 34, 187 (1989).

    Article  Google Scholar 

  12. V.S. Pande, A.Yu. Grosberg, T. Tanaka, Rev. Mod. Phys. 72, 259 (2000).

    Article  ADS  Google Scholar 

  13. T. Garel, H. Orland, E. Pitard, in Spin Glasses and Random Fields, edited by A.P. Young (World Scientific, Singapore, 1998) p. 443.

  14. Y.Sh. Mamasakhlisov, Sh. Hayryan, C.-K. Hu, J. Chem. Phys. 126, 145103 (2007).

    Article  ADS  Google Scholar 

  15. D. Poland, H.A. Scheraga, J. Chem. Phys. 45, 1464 (1966).

    Article  ADS  Google Scholar 

  16. D. Cule, T. Hwa, Phys. Rev. Lett. 79, 2375 (1997).

    Article  ADS  Google Scholar 

  17. Y. Kafri, D. Mukamel, L. Peliti, Phys. Rev. Lett. 85, 4988 (2000).

    Article  ADS  Google Scholar 

  18. G.N. Hayrapetyan et al., J. Phys. A 46, 035001 (2013).

    Article  MathSciNet  ADS  Google Scholar 

  19. R. Bundschuh, T. Hwa, Phys. Rev. E 65, 031903 (2002).

    Article  ADS  Google Scholar 

  20. F. Krzakala, M. Mézard, M. Müller, Europhys. Lett. 57, 752 (2002).

    Article  ADS  Google Scholar 

  21. M. Lassig, K.J. Wiese, Phys. Rev. Lett. 96, 228101 (2006).

    Article  ADS  Google Scholar 

  22. M. Bon, G. Vernizzi, H. Orland, A. Zee, J. Mol. Biol. 379, 900 (2008).

    Article  Google Scholar 

  23. T.R. Einert, P. Naeger, H. Orland, R.R. Netz, Phys. Rev. Lett. 101, 048103 (2008).

    Article  ADS  Google Scholar 

  24. M. Bon, C. Micheletti, H. Orland, Nucl. Acids Res. 41, 1895 (2013).

    Article  Google Scholar 

  25. Y.Sh. Mamasakhlisov, Sh. Hayryan, V.F. Morozov, C.-K. Hu, Phys. Rev. E 75, 061907 (2007).

    Article  ADS  Google Scholar 

  26. A. Siber, R. Podgornik, Phys. Rev. E 78, 051915 (2008).

    Article  ADS  Google Scholar 

  27. C.E. Hajdin et al., RNA 16, 1340 (2010).

    Article  Google Scholar 

  28. A.M. Gutin, A.Yu. Grosberg, E.I. Shakhnovich, J. Phys. A: Math. Gen. 26, 1037 (1993).

    Article  MathSciNet  ADS  Google Scholar 

  29. D. Schwab, R.F. Bruinsma, J. Phys. Chem. B 113, 3880 (2009).

    Article  Google Scholar 

  30. P.G. de Gennes, Biopolymers 6, 715 (1968).

    Article  Google Scholar 

  31. Y.Sh. Mamasakhlisov, Sh. Hayryan, V.F. Morozov, C.-K. Hu, EPL 106, 48007 (2014).

    Article  ADS  Google Scholar 

  32. A.R. Shultz, P.J. Flory, J. Am. Chem. Soc 74, 4760 (1952).

    Article  Google Scholar 

  33. R. Shiman, D.E. Draper, J. Mol. Biol. 302, 79 (2000).

    Article  Google Scholar 

  34. R. Das et al., J. Mol. Biol. 332, 311 (2003).

    Article  Google Scholar 

  35. W. Zhang, S.-J. Chen, Proc. Natl. Acad. Sci. U.S.A. 99, 1931 (2002).

    Article  ADS  Google Scholar 

  36. V. Dotsenko, S. Franz, M. Mézard, J. Phys. A: Math. Gen. 27, 2351 (1994).

    Article  MATH  ADS  Google Scholar 

  37. M. Mézard, G. Parisi, M. Virasoro, Spin Glass Theory And Beyond (World Scientific, Singapore, 1987) p. 302.

  38. M. Mézard, G. Parisi, J. Phys. (Paris) 1, 809 (1991).

    Google Scholar 

  39. V. Dotsenko, Introduction to the Replica Theory of Disordered Statistical Systems (Cambridge University Press, Cambridge, 2001) p. 220.

  40. A.E. Allahverdyan, K.G. Petrosyan, Phys. Rev. Lett. 96, 065701 (2006).

    Article  ADS  Google Scholar 

  41. G. Parisi, Phys. Rev. Lett. 50, 192 (1983).

    Article  Google Scholar 

  42. M. Mézard, G. Parisi, N. Sourlas, G. Toulouse, M. Virasoro, Phys. Rev. Lett. 52, 1156 (1984).

    Article  ADS  Google Scholar 

  43. T. Temesvari, C. De Dominicis, I.R. Pimentel, Eur. Phys. J. B 25, 361 (2002).

    Article  ADS  Google Scholar 

  44. R.K.P. Zia, E.L. Praestgaard, O.G. Mouritsen, Am. J. Phys. 70, 384 (2002).

    Article  ADS  Google Scholar 

  45. T. Tao, T. Odagaki, A. Yoshimori, J. Chem. Phys. 122, 044505 (2005).

    Article  ADS  Google Scholar 

  46. J. Bisquert, Am. J. Phys. 73, 735 (2005).

    Article  ADS  Google Scholar 

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Correspondence to Chin-Kun Hu.

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Mamasakhlisov, Y.S., Bellucci, S., Hayryan, S. et al. Collapse and hybridization of RNA: View from replica technique approach. Eur. Phys. J. E 38, 100 (2015). https://doi.org/10.1140/epje/i2015-15100-x

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  • DOI: https://doi.org/10.1140/epje/i2015-15100-x

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