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A Closed Network of RNA Polymerase Flow Models for Analyzing Intracellular Transport

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