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Jain, Aditi ; Gupta, Arvind Kumar:
A mathematical framework for analysing particle flow in a network with multiple pools.
In: Royal Society Open Science.
Bd. 11
(2024)
Heft 5
.
- 231588.
ISSN 2054-5703
DOI: https://doi.org/10.1098/rsos.231588
| Rez.: |
Abstract
In many real-world systems, the entry rate of particles into a lane is affected by the occupancy of nearby pools. For instance, in biological networks, the concentration of molecules on the side of a membrane affects the entry of particles through the membrane. To understand the behaviour of such networks, we develop a network model of ribosome flow models (RFMs) having multiple pools where each RFM captures the dynamics of particle flow in a lane and competes for the finite resources present at the nearby pool. We study a ribosome flow model network with two pools (RFMNTP) and show that the network always admits a steady state. We then analyse the behaviour of the RFMNTP with respect to modifying the transition rate through a theoretical framework. Simulations of the RFMNTP demonstrate a counterintuitive result. For example, increasing any of the transition rates in the presence of a slow site in an RFM can increase the output rate of some RFMs and decrease the output rate of the other RFMs simultaneously. This suggests that the role of local sharing of particles incorporated is non-trivial. Finally, we illustrate how these results can provide insights into studying a network with multiple pools.
Weitere Angaben
| Publikationsform: | Artikel in einer Zeitschrift |
|---|---|
| Begutachteter Beitrag: | Ja |
| Keywords: | network with multiple pools; ribosome flow model; cooperative dynamical system; first integral; entrainment |
| 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 11:45 |
| Letzte Änderung: | 07 Mär 2025 11:45 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92621 |