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

Ophir Flomenbom; Joseph Klafter

doi:10.1117/12.610133

23 May 2005 Stretched exponential decay and correlations from two-state single molecule trajectories (Invited Paper)

Ophir Flomenbom, Joseph Klafter

Proceedings Volume 5845, Noise in Complex Systems and Stochastic Dynamics III; (2005) https://doi.org/10.1117/12.610133
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

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-correlaiton 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.

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Ophir Flomenbom and Joseph Klafter "Stretched exponential decay and correlations from two-state single molecule trajectories (Invited Paper)", Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); https://doi.org/10.1117/12.610133

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