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Intramolecular relaxation in dynamic force spectroscopy

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Abstract

In dynamic force spectroscopy, bond breaking is induced by external dynamic loading. Model parameters of the molecular energy landscape are then inferred from the measured rupture force statistics. Here we discuss a systematic unified theory that captures both previously separate limits of slow and fast loading, corresponding to the diverse conditions applied in experiments and computer simulations, respectively. Our approach is based on an exact evaluation of the time-dependent probability flux across an absorbing boundary. Already its leading-order analytical predictions supersede previous results. We give an outlook on the inclusion of memory effects, illustrated by the example of semiflexible linker relaxation.

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References

  1. W.J. Greenleaf, M.T. Woodside, S.M. Block, Ann. Rev. Biophys. Biomol. Struct. 36, 171 (2007)

    Article  Google Scholar 

  2. F. Rico, L. Gonzalez, I. Casuso, M. Puig-Vidal, S. Scheuring, Science 342, 741 (2013)

    Article  ADS  Google Scholar 

  3. H. Grubmüller, B. Heymann, P. Tavan, Science 271, 997 (1996)

    Article  ADS  Google Scholar 

  4. M. Rief, H. Grubmüller, Chem. Phys. Chem. 3, 255 (2002)

    Google Scholar 

  5. J.T. Bullerjahn, S. Sturm, K. Kroy, Nat. Commun. 5, 4463 (2014)

    Article  ADS  Google Scholar 

  6. H.A. Kramers, Physica 7, 284 (1940)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  7. P. Hänggi, P. Talkner, M. Borkovec, Rev. Mod. Phys. 62, 251 (1990)

    Article  ADS  Google Scholar 

  8. C. Bustamante, Y.R. Chemla, N.R. Forde, D. Izhaky, Annu. Rev. Biochem. 73, 705 (2004)

    Article  Google Scholar 

  9. G.I. Bell, Science 200, 618 (1978)

    Article  ADS  Google Scholar 

  10. E. Evans, K. Ritchie, Biophys. J. 72, 1541 (1997)

    Article  Google Scholar 

  11. A. Garg, Phys. Rev. B 51, 15592 (1995)

    Article  ADS  Google Scholar 

  12. C. Gergely, J.C. Voegel, P. Schaaf, B. Senger, M. Maaloum, J.K.H. Hörber, J. Hemmerlé, Proc. Natl. Acad. Sci. USA 97, 10802 (2000)

    Article  ADS  Google Scholar 

  13. G. Hummer, A. Szabo, Biophys. J. 85, 5 (2003)

    Article  ADS  Google Scholar 

  14. O.K. Dudko, A.E. Filippov, J. Klafter, M. Urbakh, Proc. Natl. Acad. Sci. USA 100, 11378 (2003)

    Article  ADS  Google Scholar 

  15. O.K. Dudko, G. Hummer, A. Szabo, Phys. Rev. Lett. 96, 108101 (2006)

    Article  ADS  Google Scholar 

  16. O.K. Dudko, G. Hummer, A. Szabo, Proc. Natl. Acad. Sci. USA 105, 15755 (2008)

    Article  ADS  Google Scholar 

  17. L.B. Freund, Proc. Natl. Acad. Sci. USA 106, 8818 (2009)

    Article  ADS  Google Scholar 

  18. A. Maitra, G. Arya, Phys. Rev. Lett. 104, 108301 (2010)

    Article  ADS  Google Scholar 

  19. R.W. Friddle, A. Noy, J.J. De Yoreo, Proc. Natl. Acad. Sci. USA 109, 13573 (2012)

    Article  ADS  Google Scholar 

  20. S. Izrailev, S. Stepaniants, M. Balsera, Y. Oono, K. Schulten, Biophys. J. 72, 1568 (1997)

    Article  Google Scholar 

  21. E.H. Lee, J. Hsin, M. Sotomayor, G. Comellas, K. Schulten, Structure 17, 1295 (2009)

    Article  Google Scholar 

  22. A.J.F. Siegert, Phys. Rev. 81, 617 (1951)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  23. A. Buonocore, A.G. Nobile, L.M. Ricciardi, Adv. Appl. Probab. 19, 784 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  24. C. Ray, J.R. Brown, B.B. Akhremitchev, J. Phys. Chem. B 110, 17578 (2006)

    Article  Google Scholar 

  25. M. Rief, M. Gautel, F. Oesterhelt, J.M. Fernández, H.E. Gaub, Science 276, 1109 (1997)

    Article  Google Scholar 

  26. A. Noy, R.W. Friddle, Methods 60, 142 (2013)

    Article  Google Scholar 

  27. J.F. Marko, E.D. Siggia, Macromolecules 28, 8759 (1995)

    Article  ADS  Google Scholar 

  28. C. Ray, J.R. Brown, B.B. Akhremitchev, J. Phys. Chem. B 111, 1963 (2007)

    Article  Google Scholar 

  29. S. Fugmann, I.M. Sokolov, Phys. Rev. E 79, 021803 (2009)

    Article  ADS  Google Scholar 

  30. O. Hallatschek, E. Frey, K. Kroy, Phys. Rev. E 75, 031905 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  31. B. Obermayer, O. Hallatschek, E. Frey, K. Kroy, Eur. Phys. J. E 23, 375 (2007)

    Article  Google Scholar 

  32. B. Obermayer, W. Möbius, O. Hallatschek, E. Frey, K. Kroy, Phys. Rev. E 79, 021804 (2009)

    Article  ADS  Google Scholar 

  33. O. Otto, S. Sturm, N. Laohakunakorn, U.F. Keyser, K. Kroy, Nat. Commun. 4, 1780 (2013)

    Article  ADS  Google Scholar 

  34. O. Hallatschek, E. Frey, K. Kroy, Phys. Rev. E 75, 031906 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  35. G.K. Batchelor, J. Fluid Mech. 44, 419 (1970)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  36. F. Brochard-Wyart, A. Buguin, P.G. de Gennes, EPL 47, 171 (1999)

    Article  ADS  Google Scholar 

  37. R.F. Grote, J.T. Hynes, J. Chem. Phys. 73, 2715 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  38. D. Hennig, S. Fugmann, L. Schimansky-Geier, P. Hänggi, Phys. Rev. E 76, 041110 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  39. Y. Zheng, P. Li, N. Zhao, Z. Hou, J. Chem. Phys. 138, 204102 (2013)

    Article  ADS  Google Scholar 

  40. P. Hänggi, F. Mojtabai, Phys. Rev. A 26, 1168 (1982)

    Article  ADS  Google Scholar 

  41. S. Chaudhury, D. Chatterjee, B.J. Cherayil, J. Chem. Phys. 129, 075104 (2008)

    Article  ADS  Google Scholar 

  42. C. Kappel, N. Dölker, R. Kumar, M. Zink, U. Zachariae, H. Grubmüller, Phys. Rev. Lett. 109, 118304 (2012)

    Article  ADS  Google Scholar 

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Sturm, S., Bullerjahn, J.T. & Kroy, K. Intramolecular relaxation in dynamic force spectroscopy. Eur. Phys. J. Spec. Top. 223, 3129–3144 (2014). https://doi.org/10.1140/epjst/e2014-02323-7

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  • DOI: https://doi.org/10.1140/epjst/e2014-02323-7

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