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Modeling transport of extended interacting objects with drop-off phenomenon

Titelangaben

Jain, Aditi ; Gupta, Arvind Kumar:
Modeling transport of extended interacting objects with drop-off phenomenon.
In: PLoS One. Bd. 17 (2022) Heft 5 . - e0267858.
ISSN 1932-6203
DOI: https://doi.org/10.1371/journal.pone.0267858

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Angaben zu Projekten

Projektfinanzierung: Andere
Science and Engineering Research Board (SERB) (grants CRG/2019/004669 and MTR/2019/000312)

Abstract

We study a deterministic framework for important cellular transport phenomena involving a large number of interacting molecules called the *excluded flow of extended interacting objects with drop-off effect* (EFEIOD). This model incorporates many realistic features of biological transport process including the length of biological “particles” and the fact that they can detach along the biological ‘tracks’. The flow between the consecutive sites is unidirectional and is described by a “soft” simple exclusion principle and by repelling or attracting forces between neighboring particles. We show that the model admits a unique steady-state. Furthermore, if the parameters are periodic with common period T, then the steady-state profile converge to a unique periodic solution of period T. Simulations of the EFEIOD demonstrate several non-trivial effects of the interactions on the system steady-state profile. For example, detachment rates may help in increasing the steady-state flow by alleviating traffic jams that can exist due to several reasons like bottleneck rate or interactive forces between the particles. We also analyze the special case of our model, when there are no forces exerted by neighboring particles, and called it as the ribosome flow model of extended objects with drop-off effect (RFMEOD), and study the sensitivity of its steady-state to variations in the parameters.

Weitere Angaben

Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
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 11:20
Letzte Änderung: 07 Mär 2025 11:20
URI: https://eref.uni-bayreuth.de/id/eprint/92617