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| HAL : inria-00181450, version 1 |
| Voir la fiche détaillée |  BibTeX,EndNote,... |
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| IET Systems Biology (2007) nc |
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| Dynamical robustness of biological networks with hierarchical distribution of time scales |
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Alexander N. Gorban 1Ovidiu Radulescu 2, 3 |
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| (2007) |
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| 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 |
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| 1 : | Department of Mathematics [Leicester] |
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University of Leicester |
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| 2 : | SYMBIOSE (INRIA - IRISA) |
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CNRS : UMR6074 – INRIA – Institut National des Sciences Appliquées (INSA) - Rennes – Université de Rennes 1 |
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| 3 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Domaine | : | Informatique/Bio-informatique Sciences du Vivant/Bio-Informatique, Biologie Systémique Mathématiques/Systèmes dynamiques |
| inria-00181450, version 1 | |
| http://hal.inria.fr/inria-00181450 | |
| oai:hal.inria.fr:inria-00181450 | |
| Contributeur : Ovidiu Radulescu | |
| Soumis le : Mardi 23 Octobre 2007, 18:55:34 | |
| Dernière modification le : Mercredi 24 Mars 2010, 09:36:38 | |
