COCIS: Markov processes in single molecule fluorescence

Area of Science:

• Biophysics
• Physical Chemistry
• Statistical Mechanics

Background:

• Single molecule fluorescence studies often employ Markov processes to model molecular dynamics.
• A key assumption is that first-passage time (FPT) distributions are exponentially distributed.

Purpose of the Study:

• To review the application and limitations of Markov processes in single molecule fluorescence.
• To highlight the implications of non-Markovian dynamics observed in experimental data.

Main Methods:

• Analysis of theoretical frameworks for Markov processes in dynamic systems.
• Review of experimental evidence for non-exponential FPT distributions in single molecule fluorescence.

Main Results:

• Common observation of non-exponential FPT distributions in single molecule experiments.
• Evidence suggests that simple exponential laws may not fully capture molecular dynamics.

Conclusions:

• Non-Markovian dynamics are prevalent and offer insights beyond basic Markovian assumptions.
• Expanding Markov models to incorporate new states or dynamics can enhance the understanding of complex molecular systems.