Interplay between finite resources and a local defect in an asymmetric simple exclusion process

Area of Science:

• Physics
• Biophysics
• Statistical Mechanics

Background:

• Particle flux is often regulated by multiple factors, including particle supply and transport rates.
• Understanding dominant regimes in particle transport is crucial for biological processes.
• Cellular transport involves finite particle pools and non-uniform movement rates due to biochemical kinetics.

Purpose of the Study:

• To investigate the interplay between a controlled entrance and a local defect site in particle transport.
• To extend the totally asymmetric simple exclusion model for cellular transport phenomena.
• To identify dominant regimes in particle flux regulation.

Main Methods:

• Utilizing simulations based on an extended totally asymmetric simple exclusion model.
• Employing a domain wall approach with mean-field approximation for theoretical grounding.
• Analyzing steady-state current and density profiles.

Main Results:

• Identified regions where particle current remains constant despite increased particle supply.
• Observed particle redistribution within the system under specific conditions.
• Provided a theoretical framework for the observed phenomena using domain wall approach and mean-field approximation.

Conclusions:

• The study provides quantitative insights into the regulation of transcription and translation in bacterial protein synthesis.
• Demonstrated how controlled entrance and local defects influence particle flux.
• Established a theoretical basis for understanding complex particle transport dynamics in biological systems.