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SangYoon Chung edited Burst_Variance_Analysis.tex
about 8 years ago
Commit id: 680f7fe3db6c55f279ad9f6f5f4713783a95bd24
deletions | additions
diff --git a/Burst_Variance_Analysis.tex b/Burst_Variance_Analysis.tex
index 91a87c4..22e1fe7 100644
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N_a \sim \operatorname{Binom} \{n, E\}
\end{equation}
\begin{equation}
\label{eq:binom_std}
\operatorname{Std(E)} = {\sqrt{\frac{E(1 - E)}{n}}}
\end{equation}
BVA analysis consists of four steps: 1) slicing bursts into sub-bursts containing \textit{n} consecutive photons, 2) computing FRET efficiencies of each sub-burst, 3) calculating the empirical standard deviation ($s_E$) of sub-burst FRET efficiencies over the whole burst, and 4) comparing $s_E$ to an expected standard deviation based on shot noise limited distribution~\cite{Torella_2011}.