at Google ScholarTitle data
Jain, Aditi ; Gupta, Arvind Kumar:
A mathematical framework for analysing particle flow in a network with multiple pools.
In: Royal Society Open Science.
Vol. 11
(2024)
Issue 5
.
- 231588.
ISSN 2054-5703
DOI: https://doi.org/10.1098/rsos.231588
| Review: |
Abstract in another language
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.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | network with multiple pools; ribosome flow model; cooperative dynamical system; first integral; entrainment |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Profile Fields > Advanced Fields > Nonlinear Dynamics Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS |
| Result of work at the UBT: | No |
| DDC Subjects: | 500 Science > 510 Mathematics 500 Science > 570 Life sciences, biology |
| Date Deposited: | 07 Mar 2025 11:45 |
| Last Modified: | 07 Mar 2025 11:45 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/92621 |