# Driven diffusive systems with mutually interactive Langmuir kinetics

Source: [Driven diffusive systems with mutually interactive Langmuir kinetics](<https://www.sota2.com/research/paper/68fa318c1e209131ce87f8cb>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T18:54:07.685Z

Authors: H.D. Vuijk, R. Rens, M. Vahabi, F.C. MacKintosh, A. Sharma

Published: 2015-01-06T19:29:20.000Z

## Abstract

We investigate the simple one-dimensional driven model, the totally asymmetric exclusion process, coupled to mutually interactive Langmuir kinetics. This model is motivated by recent studies on clustering of motor proteins on microtubules. In the proposed model, the attachment and detachment rates of a particle are modified depending upon the occupancy of neighbouring sites. We first obtain continuum mean-field equations and in certain limiting cases obtain analytic solutions. We show how mutual interactions increase (decrease) the effects of boundaries on the phase behavior of the model. We perform Monte Carlo simulations and demonstrate that our analytical approximations are in good agreement with the numerics over a wide range of model parameters. We present phase diagrams over a selective range of parameters.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1501.01272>)

[PDF](<https://arxiv.org/pdf/1501.01272.pdf>)