Dynamical robustness of biological networks with hierarchical distribution of time scales

Alexander Gorban 1 Ovidiu Radulescu 2, 3, *
* Auteur correspondant
2 SYMBIOSE - Biological systems and models, bioinformatics and sequences
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
Abstract : We analyze the concepts of distributed robustness and r-robustness proposed by biologists to explain a variety of stability phenomena in molecular biology. Then we discuss the robustness of the relaxation time using a chemical reaction description of genetic and signalling networks. First, we obtain the following result for linear networks: for large multiscale systems with hierarchical distribution of time scales the variance of the inverse relaxation time (as well as the variance of the stationary rate) is much lower than the variance of the separate constants. Moreover, it can tend to 0 faster than 1/n, where n is the number of reactions. We argue that similar phenomena are valid in the nonlinear case as well. As a numerical illustration we use a model of signalling network for the important transcription factor NFkB
Type de document :
Article dans une revue
IET Systems Biology, Institution of Engineering and Technology, 2007
Liste complète des métadonnées

https://hal.inria.fr/inria-00181450
Contributeur : Ovidiu Radulescu <>
Soumis le : mardi 23 octobre 2007 - 18:55:34
Dernière modification le : mercredi 11 avril 2018 - 01:50:43

Identifiants

  • HAL Id : inria-00181450, version 1

Citation

Alexander Gorban, Ovidiu Radulescu. Dynamical robustness of biological networks with hierarchical distribution of time scales. IET Systems Biology, Institution of Engineering and Technology, 2007. 〈inria-00181450〉

Partager

Métriques

Consultations de la notice

378