Title data
Jain, Aditi ; Gupta, Arvind Kumar:
A Closed Network of RNA Polymerase Flow Models for Analyzing Intracellular Transport.
In: Rao, K. Ramachandra ; Seyfried, Armin ; Schadschneider, Andreas
(ed.):
Traffic and Granular Flow '22. -
Singapore
Singapore
: Springer Nature
,
2024
. - pp. 249-256
. - (Lecture Notes in Civil Engineering
; 443
)
ISBN 978-981-99-7975-2
DOI: https://doi.org/10.1007/978-981-99-7976-9_31
Review: |
Project information
Project financing: |
Andere DST-SERB, Government of India (grant no. CRG/2019/004669 & MTR/2019/000312) |
---|
Abstract in another language
We present a network of several RNA polymerase flow models (RPFM) interconnected through a finite pool of resources. We prove that the network always approaches a steady-state by using tools from the theory of cooperative systems having a first integral. Through theoretical framework and simulations, our analysis shows that increasing any of the forward (backward) rates in any of the RPFMs yields a local effect, an increase (decrease) in the output rate of this RPFM, and a global effect, the output rate of other RPFMs all increases or all decreases. Through simulation, we also show that sometimes increase in backward rates in an RPFM is related to an increase in the total output rate of the network. We believe that the network of RPFMs can provide deep insights into analyzing many natural and artificial systems.
Further data
Item Type: | Article in a book |
---|---|
Refereed: | Yes |
Keywords: | RNA polymerase flow model; competition for finite resources; cooperative systems with a first integral; entrainment; monotone dynamical systems |
Subject classification: | Mathematics Subject Classification Code: 76T25 |
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 08:20 |
Last Modified: | 07 Mar 2025 08:20 |
URI: | https://eref.uni-bayreuth.de/id/eprint/92622 |