Information theoretical approach to single-molecule experimental design and interpretation

Area of Science:

• Physical chemistry
• Spectroscopy
• Single-molecule biophysics

Background:

• Single-molecule experiments are crucial for understanding complex systems.
• Quantifying the information obtainable from these experiments is challenging.
• Experimental imperfections like background noise limit measurement accuracy.

Purpose of the Study:

• To develop a predictive theory for single-molecule experiment success using information theory.
• To quantify the impact of experimental imperfections on measurement precision.
• To establish a framework for optimizing experimental design.

Main Methods:

• Application of Shannon's information definition to photon-counting experiments.
• Modeling spectral fluctuations of solvatochromic dyes.
• Analysis of azimuthal dipole angle assignment.
• Calculation of distances using Förster's resonance energy transfer (FRET).

Main Results:

• Developed a quantitative relationship between information content and measurement accuracy.
• Demonstrated how background noise and other imperfections reduce obtainable information.
• Provided a theoretical basis for predicting the performance of various single-molecule techniques.

Conclusions:

• Shannon information provides a robust framework for evaluating single-molecule experiments.
• The theory can guide experimentalists in optimizing conditions for maximum information gain.
• This approach enhances the reliability and predictive power of single-molecule measurements.