DocumentCode
3528981
Title
Stability analysis and reduction of gene transcription models
Author
Belgacem, Ismail ; Gouze, Jean-Luc
Author_Institution
INRIA, BIOCORE Project-Team, Sophia Antipolis, France
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
2691
Lastpage
2696
Abstract
The aim of this paper is to analyze the dynamical behaviour of models of gene transcription in a cell, developed in [1], which are a detailed representation of transcription process from DNA to RNA with action of polymerase. Using monotone system theory and compartmental systems theory, we study several versions of these models. We use our results of global stability of the fast part of the full system to show that, under assumptions of time scales separation, it is possible to reduce the full models to much smaller ones.
Keywords
DNA; RNA; cellular biophysics; enzymes; genetics; reduced order systems; stability; DNA; RNA; cell gene transcription; compartmental systems theory; gene transcription model reduction; model dynamical behaviour analysis; monotone system theory; polymerase action; stability analysis; time scale separation; transcription process; Biological system modeling; Equations; Mathematical model; Polymers; RNA; Stability analysis; Steady-state;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location
Firenze
ISSN
0743-1546
Print_ISBN
978-1-4673-5714-2
Type
conf
DOI
10.1109/CDC.2013.6760289
Filename
6760289
Link To Document