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Antonino Ingargiola Fix BVA section
about 8 years ago
Commit id: 6f67aae2ffa95a3812a93341a35efcabffc2d402
deletions | additions
diff --git a/Burst_Variance_Analysis.tex b/Burst_Variance_Analysis.tex
index 0e5aa2f..2ca7479 100644
--- a/Burst_Variance_Analysis.tex
+++ b/Burst_Variance_Analysis.tex
...
The basic idea behind BVA is to subdivide bursts into contiguous burst chunks (sub-bursts)
comprising a fixed number $n$ of photons,
and to compare the empirical variance of acceptor counts
across of all sub-bursts in a
burst burst,
with the theoretical shot-noise-limited
variance, as expected from a binomial distribution. variance.
An empirical variance of sub-bursts larger than the shot-noise limited value indicates
the presence of dynamics. Since the estimation of the sub-bursts variance is affected
by uncertainty, BVA analysis provides and indication of an higher or lower probability
...
In a FRET (sub-)population originating from a single static FRET efficiency,
the sub-bursts acceptor counts $n_a$ can be modeled as a binomial-distributed random variable
$N_a \sim \operatorname{B}(n, E_p)$, where $n$ is the number of photons in each sub-burst and
$E_p$ is the estimated population
proximity-ratio. proximity-ratio (PR).
Note that we can use the PR because, regardless of the molecular FRET efficiency,
the detected counts are partitioned between donor and acceptor channels according to
a binomial distribution with success probability equal to the PR.