2006/10/21 by Ophir Flomenbom, Johan Hofkens, Kelly Velonia +8
Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · Mathematics · Physics and Astronomy · #Algorithm #Bin #Chemistry #Exponential function #Mass Spectrometry Techniques and Applications #Mathematical analysis #Mathematics #Molecular Junctions and Nanostructures #Molecule #Moment (physics) #Physics #Probability density function #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #State (computer science) #Statistical physics #Statistics #Trajectory #cond-mat.soft #q-bio.BM #q-bio.SC
paper · pdf · doi:10.1016/j.cplett.2006.10.060
published as Chem. Phys. Lett. 432, 371-374 (2006)
openalex publication_date 2006/10/21 · arxiv created 2007/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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, with a stretched exponent alfa and a time scale parameter tau, generates the off periods of a two-state trajectory, a reliable recovery of the input WT-PDF from the trajectory is obtained even when the bin size used to define the trajectory, dt, is much larger than the parameter tau. 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.