Reduction and Stability Analysis of a Transcription-Translation Model of RNA Polymerase.
Bull Math Biol
; 80(2): 294-318, 2018 02.
Article
em En
| MEDLINE
| ID: mdl-29214429
The aim of this paper is to analyze the dynamical behavior of biological models of gene transcription and translation. We focus on a particular positive feedback loop governing the synthesis of RNA polymerase, needed for transcribing its own gene. We write a high-dimension model based on mass action laws and reduce it to a two-variable model (RNA polymerase and its mRNA) by means of monotone system theory and timescale arguments. We show that the reduced model has either a single globally stable trivial equilibrium in (0, 0), or an unstable zero equilibrium and a globally stable positive one. We give generalizations of this model, notably with a variable growth rate. The dynamical behavior of this system can be related to biological observations on the bacterium Escherichia coli.
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Base de dados:
MEDLINE
Assunto principal:
RNA Polimerases Dirigidas por DNA
/
Modelos Biológicos
Tipo de estudo:
Prognostic_studies
Idioma:
En
Ano de publicação:
2018
Tipo de documento:
Article