Stability of Metabolic Networks via Linear-In-Flux-Expressions - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Networks and Heterogeneous Media Année : 2019

Stability of Metabolic Networks via Linear-In-Flux-Expressions

Résumé

The methodology named LIFE (Linear-in-Flux Expressions) was developed with the purpose of simulating and analyzing large metabolic systems. With LIFE, the number of model parameters is reduced by accounting for correlations among the parameters of the system. Perturbation analysis on LIFE systems results in less overall variability of the system, leading to results that more closely resemble empirical data. These systems can be associated to graphs, and characteristics of the graph give insight into the dynamics of the system. This work addresses two main problems: 1. for fixed metabolite levels, find all fluxes for which the metabolite levels are an equilibrium, and 2. for fixed fluxes, find all metabolite levels which are equilibria for the system. We characterize the set of solutions for both problems, and show general results relating stability of systems to the structure of the associated graph. We show that there is a structure of the graph necessary for stable dynamics. Along with these general results, we show how stability analysis from the fields of network flows, compartmental systems, control theory and Markov chains apply to LIFE systems.

Domaines

Automatique
Fichier principal
Vignette du fichier
STABILITY_OF_METABOLIC_NETWORKS_VIA_LINEAR-IN-FLUX-EXPRESSIONS.pdf (575.06 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02088450 , version 1 (02-04-2019)

Identifiants

Citer

Nathaniel J Merrill, Zheming An, Sean T Mc Quade, Federica Garin, Karim Azer, et al.. Stability of Metabolic Networks via Linear-In-Flux-Expressions. Networks and Heterogeneous Media, 2019, 4 (1), pp.101-130. ⟨10.3934/nhm.2019006⟩. ⟨hal-02088450⟩
83 Consultations
123 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More