Time Estimation of Polymer Translocation through Nano-Membrane

Area of Science:

• Biophysics
• Polymer Physics
• Nanotechnology

Background:

• Biological membranes contain nanopores crucial for molecular transport.
• Understanding polymer dynamics through these pores is key to biological processes and nanotechnology applications.

Purpose of the Study:

• To study the charged polymer escapement phenomenon through nano-metric holes in biological membranes.
• To present a model for the transport process of an ideal polymer across a membrane with a free energy barrier.
• To derive a general formula for translocation time and estimate the probability of polymer passage.

Main Methods:

• Theoretical modeling of polymer translocation through a nanopore.
• Development of a formula for estimating translocation time (cis to trans transition).
• Optimization of a model to calculate the probability P(x, t) of a polymer chain of length x passing through a nanopore in time t.

Main Results:

• A general formula for polymer translocation time across a membrane was derived.
• The optimized model estimates the longest likely escape time for a polymer chain to be 330 μs.
• The model's predictions show good agreement with existing literature data.

Conclusions:

• The developed model provides accurate estimations for charged polymer translocation through nanopores.
• The study contributes to understanding polymer dynamics in confined biological environments.
• Findings have implications for nanopore-based technologies and biomimetic devices.