Crossref journal-article
Proceedings of the National Academy of Sciences
Proceedings of the National Academy of Sciences (341)
Abstract

Logarithmic oscillations superimposed on the temporal relaxation patterns of complex systems are considered from the standpoint of their hierarchical origin. We propose that a closer examination of experimental data should reveal logarithmic oscillations in systems that are characterized by a hierarchical structure of their dynamical degrees of freedom. On that footing, a new methodology of data analysis is proposed that may prove important for the dynamics of protein folding and of conformational fluctuations in proteins in which the relevant time scales of the dynamical evolution underlying the relaxation kinetics can be deduced from these oscillations.

Bibliography

Metzler, R., Klafter, J., & Jortner, J. (1999). Hierarchies and logarithmic oscillations in the temporal relaxation patterns of proteins and other complex systems. Proceedings of the National Academy of Sciences, 96(20), 11085–11089.

Authors 3
  1. Ralf Metzler (first)
  2. Joseph Klafter (additional)
  3. Joshua Jortner (additional)
References 52 Referenced 56
  1. 10.1126/science.284.5411.87
  2. F Guerra, L Peliti, A Vulpiani Measures of Complexity, eds L Peliti, A Vulpiani (Springer, Berlin, 1988). / Measures of Complexity by Guerra F (1988)
  3. 10.1016/S0009-2614(98)00758-1
  4. M Reiner Rheologie in Elementarer Darstellung (VEB Fachbuchverlag, Leipzig, 1969). / Rheologie in Elementarer Darstellung by Reiner M (1969)
  5. 10.1103/PhysRevB.20.2475
  6. 10.1073/pnas.83.4.848
  7. T F Nonnenmacher, R Metzler Applications of Fractional Calculus in Physics, ed R Hilfer (World Scientific, Singapore, 1998). / Applications of Fractional Calculus in Physics by Nonnenmacher T F (1998)
  8. 10.1007/BF00366960
  9. 10.1113/jphysiol.1986.sp016212
  10. 10.1103/PhysRevLett.62.1916
  11. 10.1103/PhysRevLett.53.958
  12. 10.1103/PhysRevLett.52.1156
  13. 10.1088/0305-4470/18/6/013
  14. 10.1103/PhysRevLett.55.1634
  15. 10.1063/1.450721
  16. 10.1002/bbpc.19860901123
  17. 10.1016/0038-1098(86)90926-9
  18. , ed T F Creighton (Freeman, New York Protein Folding, 1992). / Protein Folding by Creighton T F (1992)
  19. 10.1146/annurev.physchem.48.1.545
  20. 10.1038/369248a0
  21. 10.1073/pnas.89.1.20
  22. 10.1073/pnas.92.21.9801
  23. 10.1073/pnas.84.21.7524
  24. 10.1209/0295-5075/9/6/013
  25. 10.1126/science.1749933
  26. 10.1073/pnas.94.18.9520
  27. 10.1073/pnas.93.5.2008
  28. P G Wolynes Physics of Biological Systems, eds H Flyvbjerg, J Hertz, M H Jensen, O G Mouritsen, K Sneppen (Springer, Berlin, (1998). (1998). / Physics of Biological Systems by Wolynes P G (1998)
  29. J Wang, S S Plotkin, P G Wolynes J Phys (Paris) 7, 395–421 (1997). / J Phys (Paris) by Wang J (1997)
  30. 10.1063/1.473355
  31. 10.1021/j100356a007
  32. 10.1073/pnas.95.11.5921
  33. 10.1063/1.476825
  34. 10.1073/pnas.92.8.3626
  35. 10.1063/1.473299
  36. 10.1021/bi00695a021
  37. B D Hughes Random Walks and Random Environments (Oxford Univ. Press, Oxford) 1 (1995). (10.1093/oso/9780198537885.001.0001) / Random Walks and Random Environments by Hughes B D (1995)
  38. 10.1073/pnas.82.15.5000
  39. 10.1038/280558a0
  40. 10.1126/science.4012322
  41. 10.1063/1.881414
  42. H Frauenfelder Physics of Biological Systems, eds H Flyvbjerg, J Hertz, M H Jensen, O G Mouritsen, K Sneppen (Springer, Berlin, 1998). / Physics of Biological Systems by Frauenfelder H (1998)
  43. Ervin J. Sabelko J. & Gruebele M. (1999) Proc. Natl. Acad. Sci. USA in press.
  44. 10.1088/0305-4470/24/20/016
  45. 10.1103/PhysRevLett.67.2106
  46. 10.1007/978-1-4757-4352-4
  47. G Zumofen, J Klafter, M F Shlesinger Anomalous Diffusion, From Basics to Applications, eds A Pekalski, K Sznajd-Weron (Springer, Berlin, 1999). / Anomalous Diffusion, From Basics to Applications by Zumofen G (1999)
  48. 10.1016/S0378-4371(98)00433-6
  49. 10.1007/978-1-4615-7858-1_2
  50. 10.1016/0375-9601(89)90628-2
  51. W G Glöckle, T F Nonnenmacher Fractals in Biology and Medicine, eds T F Nonnenmacher, G A Losa, E R Weibl (Birkhäuser, Basel, 1993). / Fractals in Biology and Medicine by Glöckle W G (1993)
  52. P M Morse, H Feshbach Methods of Theoretical Physics (McGraw–Hill, New York, 1953). / Methods of Theoretical Physics by Morse P M (1953)
Dates
Type When
Created 23 years, 1 month ago (July 26, 2002, 10:32 a.m.)
Deposited 1 year, 7 months ago (Jan. 3, 2024, 11:45 p.m.)
Indexed 1 year ago (Aug. 27, 2024, 3:03 p.m.)
Issued 25 years, 11 months ago (Sept. 28, 1999)
Published 25 years, 11 months ago (Sept. 28, 1999)
Published Online 25 years, 11 months ago (Sept. 28, 1999)
Published Print 25 years, 11 months ago (Sept. 28, 1999)
Funders 0

None

@article{Metzler_1999, title={Hierarchies and logarithmic oscillations in the temporal relaxation patterns of proteins and other complex systems}, volume={96}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.96.20.11085}, DOI={10.1073/pnas.96.20.11085}, number={20}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Metzler, Ralf and Klafter, Joseph and Jortner, Joshua}, year={1999}, month=sep, pages={11085–11089} }