Time and Length Scales of Incomplete Translocation through Nanopores.

Area of Science:

• Biophysics
• Nanotechnology
• Statistical Mechanics

Background:

• Cellular processes like mitochondrial import and protein degradation involve polymer translocation.
• Nanotechnology utilizes polymer translocation for sensing and sequencing applications.
• Distinguishing between successful and failed translocation events is experimentally advancing.

Purpose of the Study:

• To analyze failed polymer translocation events, focusing on the dynamics of polymers returning from a nanopore.
• To derive analytical expressions for the span and duration of incomplete translocation events.
• To provide a theoretical framework for understanding polymer behavior in nanopore systems.

Main Methods:

• Modeling polymer translocation as one-dimensional diffusive dynamics.
• Employing an effective potential to describe the polymer's movement.
• Using radiation boundary conditions to model polymer escape into the bulk.
• Deriving analytical expressions for event span and temporal duration.

Main Results:

• Analytical expressions for the distribution of the 'span' of incomplete translocation events were derived.
• Formulas for the average temporal duration of failed translocation events were obtained.
• Both unconditional and span-conditional durations of failed events were analyzed.

Conclusions:

• The study provides a theoretical framework for understanding failed polymer translocation events.
• The derived analytical expressions can aid in the interpretation of experimental data.
• This work contributes to the broader understanding of polymer dynamics in confined geometries and nanotechnologies.