Correctly validating results from single molecule data: The case of stretched exponential decay in the catalytic activity of single lipase B molecules

Ophir Flomenbom, Johan Hofkens, Kelly Velonia, Frans C. de Schryver, Alan E. Rowan, Roeland J.M. Nolte, Joseph Klafter, Robert J. Silbey

Research output: Contribution to journalArticlepeer-review

Abstract

The question of how to validate and interpret correctly the waiting time probability density functions (WT-PDFs) from single molecule data is addressed. It is shown by simulation that when a stretched exponential WT-PDF, φ{symbol}off (t) = φ{symbol}0 e- (t / τα, generates the off periods of a two-state trajectory, a reliable recovery of the input φ{symbol}off(t) from the trajectory is obtained even when the bin size used to define the trajectory, dt, is much larger than the parameter τ. This holds true as long as the first moment of the WT-PDF is much larger than dt. Our results validate the results in an earlier study of the activity of single lipase B molecules and disprove recent related critique.

Original languageEnglish
Pages (from-to)371-374
Number of pages4
JournalChemical Physics Letters
Volume432
Issue number1-3
DOIs
StatePublished - 4 Dec 2006

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