Theory of rapid force spectroscopy

Area of Science:

• Biophysics
• Physical Chemistry
• Computational Biology

Background:

• Dynamic force spectroscopy (DFS) probes single (bio-)molecular bond strength.
• Kramers' theory analyzes rupture forces at low loading rates.
• High-force simulations interpret unbinding mechanically, differing from low-force theories.

Purpose of the Study:

• Develop a unified theory for molecular bond rupture dynamics.
• Provide exact expressions for rupture force distributions and mean unbinding forces.
• Bridge the gap between slow and fast loading rate analyses in DFS.

Main Methods:

• Developed a rigorous probabilistic model for bond dynamics.
• Derived exact closed-form expressions for rupture force distributions.
• Validated the theory against Brownian dynamics simulations.

Main Results:

• The unified theory accurately predicts rupture force distributions for slow, fast, and intermediate loading rates.
• Achieved excellent agreement between theoretical predictions and simulation data.
• Demonstrated the theory's applicability across a wide range of pulling forces.

Conclusions:

• The developed theory offers a systematic and accurate tool for analyzing DFS data.
• It provides a unified framework applicable to diverse experimental and simulation conditions.
• Enhances the interpretation and comparison of molecular force spectroscopy results.