Viable flux distribution in metabolic networks

Ginestra Bianconi; Riccardo Zecchina; Ginestra Bianconi; Riccardo Zecchina

doi:10.3934/nhm.2008.3.361

Networks and Heterogeneous Media

2008, Volume 3, Issue 2: 361-369. doi: 10.3934/nhm.2008.3.361

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Viable flux distribution in metabolic networks

Ginestra Bianconi ^{1
,},
Riccardo Zecchina ^{2
,}

1.
The Abdus Salam ICTP, Strada Costiera 11, 34014 Trieste
2.
Politecnico di Torino, Corso Duca degli Abruzzi, 34, I-10129, Torino

Received: 01 September 2007 Revised: 01 February 2008
Primary: 58F15, 58F17; Secondary: 53C35.

The metabolic networks are very well characterized for bacterial such of E.coli. For this reason they provide a a very interesting framework for the construction of analytically tractable statistical mechanics models. In this paper we introduce a solvable model for the distribution of fluxes in the metabolic network. We show that the effect of the topology on the distribution of fluxes is to allow for large fluctuations of their values, a fact that should have implications on the robustness of the system.
- Dimension theory,
- Poincar\'e recurrences,
- multifractal analysis
Citation: Ginestra Bianconi, Riccardo Zecchina. Viable flux distribution in metabolic networks[J]. Networks and Heterogeneous Media, 2008, 3(2): 361-369. doi: 10.3934/nhm.2008.3.361

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Abstract

The metabolic networks are very well characterized for bacterial such of E.coli. For this reason they provide a a very interesting framework for the construction of analytically tractable statistical mechanics models. In this paper we introduce a solvable model for the distribution of fluxes in the metabolic network. We show that the effect of the topology on the distribution of fluxes is to allow for large fluctuations of their values, a fact that should have implications on the robustness of the system.
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