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Biophys. J. BioFAST: First Published March 11, 2005. doi:10.1529/biophysj.104.055905
© 2005 by the Biophysical Society.

A more recent version of this article appeared on June 1, 2005.
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Joseph Klafter
Attila Szabo
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BIOPHYSICAL THEORY AND MODELING

What can one learn from two-state single molecule trajectories?

Ophir Flomenbom 1*, Joseph Klafter 1 and Attila Szabo 2

1 Tel -Aviv University
2 NIDDK, National Institutes of Health

* To whom correspondence should be addressed. E-mail: flomenbo{at}post.tau.ac.il.

Submitted on November 8, 2004
Revised on February 7, 2005
Accepted on 3 March 2005


  Abstract
A time trajectory of an observable that fluctuates between two values (say, on and off), stemming from some unknown multi-substate kinetic scheme, is the output of many single molecule experiments. Here we show that when all successive waiting times along the trajectory are uncorrelated the on and the off waiting time probability density functions (PDFs) contain all the information. By relating the lack of correlation in the trajectory to the topology of kinetic schemes, we can immediately specify those kinetic schemes that are equally consistent with experiment, and cannot be differentiated by any sophisticated analyses of the trajectory. Correlated trajectories, however, contain additional information about the underlying kinetic scheme, and we consider the strategy that one should use to extract it.

Key Words: Kinetic schemes, Single-molecule, Two-state trajectories




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Copyright © 2005 by the Biophysical Society.