Titelangaben
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
(Hrsg.):
Traffic and Granular Flow '22. -
Singapore
Singapore
: Springer Nature
,
2024
. - S. 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
Rez.: |
Angaben zu Projekten
Projektfinanzierung: |
Andere DST-SERB, Government of India (grant no. CRG/2019/004669 & MTR/2019/000312) |
---|
Abstract
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.
Weitere Angaben
Publikationsform: | Aufsatz in einem Buch |
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Begutachteter Beitrag: | Ja |
Keywords: | RNA polymerase flow model; competition for finite resources; cooperative systems with a first integral; entrainment; monotone dynamical systems |
Fachklassifikationen: | Mathematics Subject Classification Code: 76T25 |
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 08:20 |
Letzte Änderung: | 07 Mär 2025 08:20 |
URI: | https://eref.uni-bayreuth.de/id/eprint/92622 |