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Bidirectional transport in a multispecies totally asymmetric exclusion-process model
Sudipto Muhuri1, Lenin Shagolsem, Madan Rao
1Raman Research Institute, C.V. Raman Avenue, Sadashivanagar, Bangalore 560080, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 9, 2011
Summary
This study models bidirectional particle transport using a multispecies totally asymmetric exclusion process (TASEP) with directional switching. It reveals a phase transition and jamming phenomenon in particle dynamics, crucial for understanding biological transport systems.
Area of Science:
- Statistical Mechanics
- Biophysics
- Condensed Matter Physics
Background:
- Bidirectional transport is essential in biological systems, driven by motor proteins along microtubules.
- Existing models often simplify complex particle interactions and switching dynamics.
- Understanding the interplay between individual particle behavior and collective transport is key.
Purpose of the Study:
- To develop and analyze a minimal lattice model for bidirectional particle transport.
- To investigate the collective dynamics arising from individual particle switching.
- To identify phase transitions and emergent behaviors in a one-dimensional transport system.
Main Methods:
- Developed a multispecies totally asymmetric exclusion process (TASEP) with directional switching.
- Employed Monte Carlo simulations to validate theoretical predictions.
- Analyzed steady-state density and current profiles as a function of switching and translocation rates.
Main Results:
- Mean-field theory accurately describes homogeneous bulk behavior in the fast switching regime.
- A first-order phase transition occurs at a finite ratio of translocation to switching rates (Q).
- A jammed phase emerges at lower switching rates, characterized by near-zero net current (J~1/Q).
Conclusions:
- The minimal TASEP model provides a framework for understanding bidirectional transport phenomena.
- Deviations from fast switching lead to complex phase transitions and jamming.
- The study numerically constructs a phase diagram illustrating system behavior under varying rates.
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