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

Titelangaben

Jain, Aditi ; Kumar, Arun ; Gupta, Arvind Kumar:
A theoretical framework to analyse the flow of particles in a dynamical system with stochastic transition rates and site capacities.
In: Royal Society Open Science. Bd. 9 (2022) Heft 10 . - 220698.
ISSN 2054-5703
DOI: https://doi.org/10.1098/rsos.220698

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Angaben zu Projekten

Projektfinanzierung: Andere
DST-SERB, Government of India (grants CRG/2019/004669 and MTR/2019/000312)

Abstract

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.

Weitere Angaben

Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
Keywords: ribosome flow model with different site sizes; stochasticity; random variables; random matrix theory
Institutionen der Universität: Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik)
Profilfelder > Advanced Fields > Nichtlineare Dynamik
Forschungseinrichtungen > Zentrale wissenschaftliche Einrichtungen > Bayreuther Zentrum für Modellierung und Simulation (MODUS)
Titel an der UBT entstanden: Nein
Themengebiete aus DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
500 Naturwissenschaften und Mathematik > 570 Biowissenschaften; Biologie
Eingestellt am: 07 Mär 2025 11:42
Letzte Änderung: 07 Mär 2025 11:42
URI: https://eref.uni-bayreuth.de/id/eprint/92619