48 citations · 156 across the 11 of their papers we have counts for
11 papers
Particle creation and annihilation in an exclusion process on networks
Ankita Gupta, Arvind Kumar Gupta
To mimic the complex transport-like collective phenomena in a man-made or natural system, we study an open network junction model of totally asymmetric simple exclusion process wit…
Steady-state dynamics of exclusion process with local reversible association of particles
Akriti Jindal, Anatoly B. Kolomeisky, Arvind Kumar Gupta
Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reve…
Exclusion Process on two intersected lanes with constrained resources: Symmetry breaking and shock dynamics
Akriti Jindal, Arvind Kumar Gupta
We present a study of exclusion process on a peculiar topology of network with two intersected lanes, competing for the particles in a reservoir with finite capacity. To provide a…
Reservoir crowding in a totally asymmetric simple exclusion process with Langmuir Kinetics
Bipasha Pal, Arvind Kumar Gupta
We study a totally asymmetric simple exclusion process equipped with Langmuir kinetics with boundaries connected to a common reservoir. The total number of particles in the system…
Cooperative dynamics in bidirectional transport on flexible lattice
Akriti Jindal, Atul Kumar Verma, Arvind Kumar Gupta
Several theoretical models based on totally asymmetric simple exclusion process (TASEP) have been extensively utilized to study various non-equilibrium transport phenomena. Inspire…
Role of interactions in a closed quenched system
Bipasha Pal, Arvind Kumar Gupta
We study the non-equilibrium steady states in a closed system consisting of interacting particles obeying exclusion principle with quenched hopping rate. Cluster mean field approac…
Role of interactions and correlations on collective dynamics of molecular motors along parallel filaments
Tripti Midha, A. K. Gupta
Cytoskeletal motors known as motor proteins are molecules that drive cellular transport along several parallel cytoskeletal filaments and support many biological processes. Experim…
Collective dynamics on a two-lane asymmetrically coupled TASEP with mutually interactive Langmuir Kinetics
Arvind Kumar Gupta
Motivated by the recent experimental observations on clustering of motor proteins on microtubule filament, we study an open system of two parallel totally asymmetric simple exclusi…
Collective dynamics of an inhomogeneous two-channel exclusion process: Theory and Monte Carlo simulations
Isha Dhiman, Arvind Kumar Gupta
This work is devoted to the development of a novel theoretical approach, named hybrid approach, to handle a localized bottleneck in a symmetrically coupled two-channel totally asym…
Anticipating regime shifts in gene expression: The case of an autoactivating positive feedback loop
Yogita Sharma, Partha Sharathi Dutta, A. K. Gupta
Considerable evidence suggests that anticipating sudden shifts from one state to another in bistable dynamical systems is a challenging task, examples include ecosystems, financial…
Asymmetric coupling in two-lane simple exclusion process with Langmuir kinetics: phase diagrams and boundary layers
Arvind Kumar Gupta, Isha Dhiman
We study an open system composed of two parallel totally asymmetric simple exclusion processes with particle attachment and detachment in the bulk. The particles are allowed to cha…