Stretched exponential decay and correlations from two-state single molecule trajectories

Ophir Flomenbom*, Joseph Klafter

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


Single molecule techniques offer a unique tool studying the dynamical behaviour of individual molecules, and provide the possibility to construct distributions from individual events rather than from a signal stemming from an ensemble of molecules. Observing the activity of individual lipase molecules for extended periods of time (hours), we get long trajectories, made of "on-state" and "off-state" events. The waiting time probability density function (PDF) of the off-state and the state-correlation function fit stretched exponentials, independent of the substrate concentration in a certain range. The data analysis unravels correlations between off-state events. These findings imply that the fluctuating enzyme model, which involves a spectrum of enzymatic conformations that interconvert on the timescale of the catalytic activity, best describes the observed enzymatic activity. This contribution summarizes some of our recent published results.

Original languageEnglish
Article number22
Pages (from-to)156-163
Number of pages8
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2005
EventNoise in Complex Systems and Stochastic Dynamics III - Austin, TX, United States
Duration: 24 May 200526 May 2005


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