Open AccessA one-dimensional modified TASEP model on a track of variable length: analytical and computational results
Author(s) -
Brian D. Reed,
Eric M. Aldrich,
Laurenţiu Stoleriu,
Dan Mazilu,
Irina Mazilu
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012025
Subject(s) - statistical physics , monte carlo method , variable (mathematics) , range (aeronautics) , particle (ecology) , physics , mean field theory , field (mathematics) , mathematics , statistics , engineering , mathematical analysis , geology , quantum mechanics , oceanography , pure mathematics , aerospace engineering
We present analytical solutions and Monte Carlo simulation results for a one-dimensional modified TASEP model inspired by the interplay between molecular motors and their cellular tracks of variable lengths, known as microtubules. Our TASEP model incorporates rules for changes in the length of the track based on the occupation of the first two sites. Using mean-field theory, we derive analytical results for the particle densities and particle currents and compare them with Monte Carlo simulations. These results show the limited range of mean-field methods for models with localized high correlation between particles. The variability in length adds to the complexity of the model, leading to emergent features for the evolution of particle densities and particle currents compared to the traditional TASEP model.