Calculation on fluorescence resonance energy transfer on surfaces

Area of Science:

• Biochemistry
• Biophysics
• Physical Chemistry

Background:

• Fluorescence resonance energy transfer (FRET) is crucial for studying molecular interactions.
• Estimating FRET between distributions of molecules on surfaces presents analytical challenges.
• Existing methods may lack general applicability or precise error quantification.

Purpose of the Study:

• To develop a general method for quantifying FRET between donor and acceptor distributions on surfaces.
• To provide analytic equations and error bounds for FRET analysis in complex systems.
• To validate the method using established models relevant to membrane biochemistry.

Main Methods:

• Utilized continued fraction approximants derived from power series expansions.
• Expanded the analysis based on changes in quantum yield, fluorescent lifetimes, and steady-state fluorescence.
• Derived specific approximants for five distinct geometric models.

Main Results:

• Developed analytic equations for estimating surface FRET across various models.
• Established error bounds for the derived approximants, enhancing analytical reliability.
• Successfully applied the method to analyze existing experimental FRET data from literature.

Conclusions:

• The presented method offers a versatile and accurate approach for FRET analysis on surfaces.
• The derived equations are applicable to diverse membrane biochemistry scenarios.
• This work provides a robust framework for interpreting FRET experiments involving molecular distributions.