A theoretical framework to analyse the flow of particles in a dynamical system with stochastic transition rates and site capacities.

Autor:	Jain A; Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, 140001 Punjab, India., Kumar A; Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, 140001 Punjab, India., Kumar Gupta A; Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, 140001 Punjab, India.
Jazyk:	angličtina
Zdroj:	Royal Society open science [R Soc Open Sci] 2022 Oct 19; Vol. 9 (10), pp. 220698. Date of Electronic Publication: 2022 Oct 19 (Print Publication: 2022).
DOI:	10.1098/rsos.220698
Abstrakt:	We study the stochasticity in a dynamical model: ribosome flow model with different site sizes that models the unidirectional movement of particles controlled by transition rates along a lattice having different site sizes. Our work models the parameters as random variables with known distributions and investigates the steady-state flow rate under this notion by using tools from the random matrix theory. Some closed-form theoretical results are derived for the steady-state flow rate under some restrictive assumptions such as random variables being independent and identically distributed. Furthermore, for arbitrary but bounded stochastic transition rates, stochastic site capacities, or both, we establish bounds for the steady-state flow rate. Our analysis can be generalized and applied to study the flow of particles in numerous transport systems in the stochastic environment. (© 2022 The Authors.)
Databáze:	MEDLINE
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