X. Michalet edited fitting_2.tex  almost 8 years ago

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Unfortunately, the method is not of straightforward application for   freely-diffusing data as it requires a special selection   criterion for filtering bursts with quasi-Poisson rates.  Santoso~\cite{santoso_probing_2009} Santoso et al.~\cite{santoso_probing_2009}  and Kalinin~\cite{Kalinin2010} Kalinin et al.~\cite{Kalinin2010}  extended the PDA approach to estimate conversion rates between different  states by comparing FRET histograms as a function of the time-bin size.  In addition, Gopich and Szabo~\cite{Gopich2009, gopich_theory_2011} developed 

In case of measurement including lifetime, the multiparameter fluorescence  detection (MFD) method allows to identify dynamics from the deviation   from the linear relation between lifetime and E~\cite{sisamakis_accurate_2010}.  Hoffman~\cite{hoffmann_quantifying_2011} Hoffman et al.~\cite{hoffmann_quantifying_2011}  proposed a method called RASP (recurrence analysis of single particles) to extend   the timescale of detectable kinetics.  Hoffman computes et al. compute  the probability that two nearby bursts are due to the same molecule and therefore allows setting a time-threshold  for considering consecutive bursts as the same single-molecule event. 

Finally, two related methods for discriminating between static heterogeneity  and sub-millisecond dynamics are Burst Variance Analysis  (BVA) proposed by Torella~\cite{Torella_2011} Torella et al.~\cite{Torella_2011}  and two-channel kernel density estimator (2CDE) proposed by   Tomov~\cite{Tomov_2012}. Tomov et al.~\cite{Tomov_2012}.  The BVA method is described in the next section. The 2CDE method, which has been implemented in FRETBursts, computes local  photon rates from timestamps within bursts using  Kernel Density Estimation (KDE)