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Different fluorescence-based techniques are used to study the protein dynamics in living cells. These techniques include FRAP, FRET, and PET.
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High Precision FRET at Single-molecule Level for Biomolecule Structure Determination
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Propagation of time-resolved fluorescence in a diffuse medium: complex analytical derivation.

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    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |May 14, 2020
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    Complex analysis of fluorescence in diffusive media reveals distinct signal components. This method enables direct measurement of fluorescence lifetimes shorter than optical diffusion timescales, advancing turbid medium characterization.

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    Area of Science:

    • Biomedical Optics
    • Complex Analysis
    • Fluorescence Spectroscopy

    Background:

    • Understanding fluorescence dynamics in optically diffusive media is crucial for applications like biomedical imaging.
    • Existing methods face challenges in resolving fluorescence lifetimes shorter than the medium's diffusion timescale.
    • Ultrashort laser pulse excitation is a key technique for probing rapid fluorescence phenomena.

    Purpose of the Study:

    • To develop and validate a complex analytical method for evaluating spatiotemporal fluorescence evolution.
    • To differentiate between diffusive and fluorescence decay terms based on their unique spatiotemporal behaviors.
    • To enable direct measurement of short fluorescence lifetimes in turbid media.

    Main Methods:

    • Application of complex analytical methods, including Cauchy's integral theorem, to Fourier integrals of fluorescence signals.
    • Calculation of time-resolved fluorescence signals for various fluorescence lifetimes and source/detector configurations.
    • Validation of analytical expressions against numerically computed full time-resolved fluorescence signals.

    Main Results:

    • The integrand of the time-resolved diffuse fluorescence exhibits singularities (branch points and simple poles) in the complex-frequency plane.
    • Complex analysis separates the fluorescence signal into a spatially broadening diffusive term and a time-independent decay term.
    • Analytical results accurately match numerical computations, confirming the method's validity.

    Conclusions:

    • The distinct spatiotemporal characteristics of the diffusive and fluorescence terms allow for direct lifetime measurements.
    • This approach overcomes limitations in measuring fluorescence lifetimes shorter than optical diffusion timescales.
    • The developed complex analytical framework offers a novel tool for characterizing turbid media.