Two-Channel Partially Coupled Exclusion Process with Mutually Interactive Langmuir Kinetics

Arvind Kumar Gupta ()
Additional contact information
Arvind Kumar Gupta: Indian Institute of Technology Ropar, Department of Mathematics

A chapter in Traffic and Granular Flow '15, 2016, pp 629-636 from Springer

Abstract: Abstract In thisGupta, Arvind Kumar work, we investigate an open system comprised of two-parallel TASEP under partially asymmetric coupling conditions incorporating the mutual interaction with the surrounding environment through Langmuir Kinetics in both the channels. Motivated by the recent finding on clustering of motor proteins on microtubules, the attachment and detachment rates are assumed to be dependent on the state of the neighbouring sites. Under the mean-field assumption, the hydrodynamic equations representing the evolution of particle density is studied and steady-state phase diagrams are obtained. The effect of mutually interactive Langmuir Kinetics (MILK) on the phase diagram is discussed for two different situations. For symmetric MILK, the topological structure of the phase diagram remains preserved; while for the antisymmetric MILK, significant changes are observed in the qualitative nature of phase diagram. Monte Carlo simulations are performed to validate the theoretical findings.

Keywords: Phase Diagram; Density Profile; Mutual Interaction; Motor Protein; Totally Asymmetric Simple Exclusion Process (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-33482-0_79

Ordering information: This item can be ordered from
http://www.springer.com/9783319334820

DOI: 10.1007/978-3-319-33482-0_79

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().