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Fluorescence correlation spectroscopy: the case of subdiffusion.

Ariel Lubelski1, Joseph Klafter

  • 1School of Chemistry, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel. lubelski@post.tau.ac.il

Biophysical Journal
|March 18, 2009
PubMed
Summary
This summary is machine-generated.

This study revisits fluorescence correlation spectroscopy for subdiffusing molecules using a fractional diffusion equation. It reveals unique properties like aging and ergodicity breaking, aiding in mechanism discrimination.

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Area of Science:

  • Physical Chemistry
  • Biophysics
  • Statistical Mechanics

Background:

  • Fluorescence Correlation Spectroscopy (FCS) is a powerful technique for studying molecular dynamics.
  • Subdiffusion, a deviation from normal Brownian motion, is common in complex biological systems.
  • Existing FCS theory primarily addresses normal diffusion, limiting its application to subdiffusive scenarios.

Purpose of the Study:

  • To adapt Fluorescence Correlation Spectroscopy (FCS) theory for subdiffusing molecules.
  • To develop new theoretical expressions for FCS based on fractional diffusion equations (FDEs).
  • To identify unique, experimentally verifiable signatures of subdiffusion within FCS data.

Main Methods:

  • Revisiting the theory of fluorescence correlation spectroscopy.
  • Formulating subdiffusion using a continuous-time random walk (CTRW) model.
  • Employing fractional diffusion equations (FDEs) to describe molecular motion.
  • Analyzing the nonstationary nature of CTRW/FDE processes.

Main Results:

  • Developed FCS expressions analogous to those for normal diffusion but incorporating FDEs.
  • Predicted a strong dependence of correlation functions on initial time (aging).
  • Observed sensitivity of correlation functions to averaging methods (ensemble vs. time averaging), indicating ergodicity breaking.
  • Found that the mean-squared displacement observable is influenced by the averaging method.

Conclusions:

  • The FDE framework provides a robust theoretical basis for FCS in subdiffusive systems.
  • Aging and ergodicity breaking are key emergent properties that can experimentally distinguish subdiffusion mechanisms.
  • This approach enhances the applicability of FCS to complex, crowded environments where subdiffusion prevails.