Generalized totally asymmetric simple exclusion processon open chains with a modified injection condition

A.M. Povolotsky, N.C. Pesheva, N.Zh. Bunzarova

Abstract: We report here our preliminary results in the study of a new version of the generalized Totally Asymmetric Simple Exclusion process (gTASEP) on open tracks. TASEP was first suggested as a model of kinetics of protein synthesis and later it was also used to model biological transport in cells and various other non-equilibrium systems. In the gTASEP an additional interaction between the particles is considered, besides the hard-core exclusion, which exists in the standard TASEP. It is modelled by the introduction of a second hopping probability for the particles, belonging to a cluster, in addition to the standard hopping probability , which now applies only for single particles and the head (rightmost) particle of a cluster. We briefly describe how one can obtain analytically solvable version of gTASEP by modifying the left (injection) boundary condition. Short comparison is made with the previously studied version of gTASEP on open tracks.

Series on Biomechanics, Vol.37, No.1 (2023), 51-57
DOI: 10.7546/SB.08.01.2023

Keywords: biological transport; Non-equilibrium systems; phase transitions; TASEP

Date published: 2023-02-02