Background <p>Confocal burst single-molecule FRET (smFRET) is a valuable technique for studying biomolecular dynamics over various timescales. Photon-by-photon recording and analysis approaches, such as multiparameter Hidden Markov analysis (mpH<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM), exploit the full time resolution of the data and allow disentangling FRET-related signal changes from fluctuations caused by dye-related phenomena, such as blinking. However, the influence of blinking dynamics on quantitative mpH<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM analysis has not been explored in detail.</p> Methods <p>Using simulated smFRET data, we characterized the impact of blinking dynamics on quantitative mpH<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM analysis. We developed an mpH<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM-guided approach to remove the subset of bursts affected by blinking. We systematically validated our approach with simulations and applied it to experimental confocal burst smFRET data of DNA hairpins.</p> Results <p>We demonstrated that standard-processed smFRET data from a dynamic DNA hairpin contain dye-blinking states. Since the true parameters in experimental data are unknown, we used simulations with different severities of blinking to characterize the impact of dye-blinking dynamics on mpH<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM analysis. We showed that blinking causes mpH<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM to systematically underestimate FRET state exchange rates and shift the <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq9.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(E-S\)</EquationSource> </InlineEquation> histogram. We applied our proposed mpH<InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM-cleaning approach to simulated data with various degrees of blinking dynamics. Removing blinking-affected bursts corrected the blinking-induced bias in the <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq9.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(E-S\)</EquationSource> </InlineEquation> plot and mitigated the blinking bias of mpH<InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM analysis. Finally, we demonstrated the effect of the filtering approach on experimental smFRET data of a dynamic DNA hairpin and observed similar effects to those in simulated data.</p> Discussion <p>We propose a method to minimize the impact of dye blinking on dynamic smFRET analysis by using the ability of mpH<InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM to identify short-lived dye blinking states. Removing blinking-affected bursts improved the accuracy of dynamic smFRET analysis and enabled accurate recovery of state exchange rates by subsequent mpH<InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44330_2025_39_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(^2\)</EquationSource> </InlineEquation>MM analysis, though at the cost of losing affected bursts. Our findings highlight the importance of considering dye blinking effects in qualitative and quantitative smFRET analysis and the critical need to combine alternating-excitation smFRET with photon-by-photon analysis.</p>

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H\(^2\)MM-guided removal of dye blinking effects from single-molecule FRET burst data

  • Tom Kache,
  • Jelle Hendrix

摘要

Background

Confocal burst single-molecule FRET (smFRET) is a valuable technique for studying biomolecular dynamics over various timescales. Photon-by-photon recording and analysis approaches, such as multiparameter Hidden Markov analysis (mpH \(^2\) MM), exploit the full time resolution of the data and allow disentangling FRET-related signal changes from fluctuations caused by dye-related phenomena, such as blinking. However, the influence of blinking dynamics on quantitative mpH \(^2\) MM analysis has not been explored in detail.

Methods

Using simulated smFRET data, we characterized the impact of blinking dynamics on quantitative mpH \(^2\) MM analysis. We developed an mpH \(^2\) MM-guided approach to remove the subset of bursts affected by blinking. We systematically validated our approach with simulations and applied it to experimental confocal burst smFRET data of DNA hairpins.

Results

We demonstrated that standard-processed smFRET data from a dynamic DNA hairpin contain dye-blinking states. Since the true parameters in experimental data are unknown, we used simulations with different severities of blinking to characterize the impact of dye-blinking dynamics on mpH \(^2\) MM analysis. We showed that blinking causes mpH \(^2\) MM to systematically underestimate FRET state exchange rates and shift the \(E-S\) histogram. We applied our proposed mpH \(^2\) MM-cleaning approach to simulated data with various degrees of blinking dynamics. Removing blinking-affected bursts corrected the blinking-induced bias in the \(E-S\) plot and mitigated the blinking bias of mpH \(^2\) MM analysis. Finally, we demonstrated the effect of the filtering approach on experimental smFRET data of a dynamic DNA hairpin and observed similar effects to those in simulated data.

Discussion

We propose a method to minimize the impact of dye blinking on dynamic smFRET analysis by using the ability of mpH \(^2\) MM to identify short-lived dye blinking states. Removing blinking-affected bursts improved the accuracy of dynamic smFRET analysis and enabled accurate recovery of state exchange rates by subsequent mpH \(^2\) MM analysis, though at the cost of losing affected bursts. Our findings highlight the importance of considering dye blinking effects in qualitative and quantitative smFRET analysis and the critical need to combine alternating-excitation smFRET with photon-by-photon analysis.