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Uncorrelated Two-State Single Molecule Trajectories from Reducible Kinetic Schemes[PACS numbers: 82.20.-w, 02.50.-r]

Abstract

Trajectories of on-off events are the output of many single molecule experiments. Usually, one assumes that the underlying mechanism that generates the trajectory can be described by a kinetic scheme, and by analyzing the trajectory aims at deducing this scheme. In a previous work (O. Flomenbom, J. Klafter and A. Szabo, Biophys. J., in press) we showed that when successive events along a trajectory are uncorrelated, all the information in the trajectory is contained in two basic functions, which are the waiting time probability density functions (PDFs) of the on state and off state. The kinetic schemes that lead to such uncorrelated trajectories were termed reducible. The topologies of reducible kinetic schemes were then given. Here, we provide the mathematical steps that were used to find theses topologies. (author)
Authors:
Flomenbom, O; Klafter, J [1] 
  1. School of Chemistry, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv (Israel)
Publication Date:
May 01, 2005
Product Type:
Journal Article
Resource Relation:
Journal Name: Acta Physica Polonica. Series B; Journal Volume: B36; Journal Issue: 5; Conference: 17. Marian Smoluchowski Symposium on Statistical Physics, Zakopane (Poland), 4-9 Sep 2004; Other Information: 45 refs., 2 figs; PBD: May 2005
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHEMICAL REACTION KINETICS; CORRELATIONS; MATHEMATICAL MODELS; MOLECULES; TIME DEPENDENCE; TOPOLOGY; TRAJECTORIES
OSTI ID:
20617159
Country of Origin:
Poland
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0587-4254; APOBBB; TRN: PL0500850060388
Availability:
Also available at http://th-www.if.uj.edu.pl/acta/;INIS
Submitting Site:
INIS
Size:
page(s) 1527-1535
Announcement Date:
Aug 21, 2005

Citation Formats

Flomenbom, O, and Klafter, J. Uncorrelated Two-State Single Molecule Trajectories from Reducible Kinetic Schemes[PACS numbers: 82.20.-w, 02.50.-r]. Poland: N. p., 2005. Web.
Flomenbom, O, & Klafter, J. Uncorrelated Two-State Single Molecule Trajectories from Reducible Kinetic Schemes[PACS numbers: 82.20.-w, 02.50.-r]. Poland.
Flomenbom, O, and Klafter, J. 2005. "Uncorrelated Two-State Single Molecule Trajectories from Reducible Kinetic Schemes[PACS numbers: 82.20.-w, 02.50.-r]." Poland.
@misc{etde_20617159,
title = {Uncorrelated Two-State Single Molecule Trajectories from Reducible Kinetic Schemes[PACS numbers: 82.20.-w, 02.50.-r]}
author = {Flomenbom, O, and Klafter, J}
abstractNote = {Trajectories of on-off events are the output of many single molecule experiments. Usually, one assumes that the underlying mechanism that generates the trajectory can be described by a kinetic scheme, and by analyzing the trajectory aims at deducing this scheme. In a previous work (O. Flomenbom, J. Klafter and A. Szabo, Biophys. J., in press) we showed that when successive events along a trajectory are uncorrelated, all the information in the trajectory is contained in two basic functions, which are the waiting time probability density functions (PDFs) of the on state and off state. The kinetic schemes that lead to such uncorrelated trajectories were termed reducible. The topologies of reducible kinetic schemes were then given. Here, we provide the mathematical steps that were used to find theses topologies. (author)}
journal = []
issue = {5}
volume = {B36}
journal type = {AC}
place = {Poland}
year = {2005}
month = {May}
}