Hierarchies and logarithmic oscillations in the temporal relaxation patterns of proteins and other complex systems

Ralf Metzler, Joseph Klafter, Joshua Jortner*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

63 Scopus citations

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.

Original languageEnglish
Pages (from-to)11085-11089
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Volume96
Issue number20
DOIs
StatePublished - 28 Sep 1999

Keywords

  • Dynamics of complex systems
  • Hierarchically constrained dynamics
  • Logarithmic temporal oscillations
  • Protein folding
  • Ultrametric spaces

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